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THE NUMBER SEVEN IN THE BIBLE - KING JAMES BIBLE

How many times is the number 7 mentioned in the Bible?

Used 735 times (54 times in the book of Revelation alone), the number 7 is the foundation of God's word. If we include with this count how many times 'sevenfold' (6) and 'seventh' (119) is used, our total jumps to 860 references.

List of Sevens in the Bible: Updated 03/07/2018 – Sevens ...
https://sevens in thebible.com/list-of-sevens-in-the-bible
27/02/2012 · If you take the 22 books of the Hebrew bible, and combine them with the 27 books of the New Testament, you get 49, a multiple of 7 (7×7=49) Now usually people say the Christian ....

 

There are 55 sevens, and 5 sevenths, 5x7 (35) phrases of sevens in the Book of Revelation. The number 5 is also significant. In the symbolism of numbers in Scripture 5 is the number of grace.

Does the number seven (7) have biblical significance?
https://www.compellingtruth.org/number-7-seven.html

The number seven is used more than fifty times in Revelation! Seven letters to the seven churches ( Revelation 2—3 ), seven lampstands (1:12), seven stars (1:16), seven seals (5:1), seven angels and seven trumpets (8:2), and more! Seven here connotes a completeness, the end of things, bringing all together as planned.

Does the number seven (7) have biblical significance?

God uses signs and symbols to communicate great ideas. When He stopped the rain and preserved Noah, his family, and animals, God sent a rainbow as a promise that He would never again flood the entire earth (Genesis 9:12–17). The rainbow is a literal thing, but also representative of God's covenant with Noah (and all of mankind). Bread is used to symbolize God's presence with His people (Numbers 4:7), the gift of eternal life (John 6:35), and Jesus' body broken for us on the cross as a sacrifice for our sins (Matthew 26:26; 1 Corinthians 11:23–26). Bread is a real thing, but is also used to convey a deeper truth in certain places.

The rainbow and bread are fairly obvious symbols in Scripture. It seems that God may also attach deeper meaning to some numbers in the Bible. Certain numbers, such as three and seven, seem to pop up in more significant places than others.

As for the number seven, the entire planet throughout history follows God's pattern of seven days in a week. God created the universe in six days, then rested on the seventh (Genesis 1). Seven, then, throughout the Bible, often signifies the completeness or perfection of an event or thing. In Exodus 22:30, the Israelites are told not to sacrifice an animal until it is at least seven days old. Naaman is commanded to bathe in the Jordan seven times to be cleansed of leprosy (2 Kings 5:10).

Maybe the best-known use of seven is when Joshua and the people marched around Jericho for seven days, circled it seven times on the seventh day, then had seven priests blow seven trumpets before the walls came down (Joshua 6).

Remember the rainbow and Noah? Genesis 7:2 tells us that seven pairs of each clean animal were on the ark. God commands seven stems on the lampstand of the tabernacle (Exodus 25:37). In Isaiah we find seven qualities of the Messiah (Isaiah 11:2) and seven signs in John's Gospel. Proverbs 6:16–19 lists seven things that are an abomination to God. In Matthew we find seven parables (Chapter 13) and seven woes (Chapter 23).

We find seventy weeks in the prophecy of Daniel (9:24). Jeremiah 29:10 foretells a seventy-year captivity in Babylon. The year of Jubilee was to follow the forty-ninth year (7 times 7) (Leviticus 25:8).

Jesus says He is the "I AM" seven times in Matthew, and told His followers to forgive those who wrong you seventy times seven times (Matthew 18:22).

In Revelation, John sees seven bowls of the wrath of God to be poured out in the tribulation (16:1). The number seven is used more than fifty times in Revelation! Seven letters to the seven churches (Revelation 2—3), seven lampstands (1:12), seven stars (1:16), seven seals (5:1), seven angels and seven trumpets (8:2), and more! Seven here connotes a completeness, the end of things, bringing all together as planned.

So, are we to attach significance whenever the number seven appears? After all, it is in the Bible more than 700 times. We should be intentionally careful when attaching meaning to seven, or three, or any number we aren't specifically told carries significance, and nowhere does God say in the Bible that seven is a special number to pay special attention to.

 

https://www.kingjamesbibleonline.org/The_Number_Seven

 

THE NUMBER SEVEN IN THE BIBLE - KING JAMES BIBLE

Leviticus 25:8 | View whole chapter | See verse in context. And thou shalt number seven sabbaths of years unto thee, seven times seven years; and the space of the seven sabbaths of years shall

The Meaning of Numbers: The Number 7

The number 7 is the foundation of God's word. It derives much of its meaning from being tied directly to creation. Used 735 times (54 times in Revelation alone), it symbolizes completeness and perfection (both physical and spiritual). If we include with this count how many times 'sevenfold' (6) and 'seventh' (119) are used, our total jumps to 860 references.

According to some Jewish traditions, the creation of Adam occurred on September 26, 3760 B.C. (or the first day of Tishri, which is the seventh month on the Hebrew calendar). The word 'created' is used 7 times describing God's creative work (Genesis 1:1, 21, 27 three times; 2:3; 2:4). There are 7 days in a week and God's Sabbath is on the seventh day.

The Bible, as a whole, was originally divided into seven major divisions. They are 1) the Law; 2) the Prophets; 3) the Writings, or Psalms; 4) the Gospels and Acts; 5) the General Epistles; 6) the Epistles of Paul; and 7) the book of Revelation. The total number of originally inspired books was forty-nine, or 7 x 7, demonstrating the absolute perfection of the Word of God.

Did Job suffer because he was self-righteous?
Appearances of the number seven
There are at least seven men in the Old Testament who are labeled "a man of God." They are Moses (Joshua 14:6), David (2Chronicles 8:14), Samuel (1Samuel 9:6, 14), Shemaiah (1Kings 12:22), Elijah (1Kings 17:18), Elisha (2Kings 5:8) and Igdaliah (Jeremiah 35:4).

In the book of Hebrews, written by the apostle Paul, he uses 7 titles to refer to Christ. The titles are 'Heir of all things' (Hebrews 1:2), 'Captain of our salvation' (2:10), 'Apostle' (3:1), 'Author of salvation' (5:9), 'Forerunner' (6:20), 'High Priest' (10:21) and the 'Author and finisher of our faith' (12:2).

In Matthew 13 Jesus is quoted as giving 7 parables (Matthew 13:3 - 9, 24 - 30, 31 - 32, 33, 44, 45 - 46, 47). Seven Psalms are ascribed to David in the New Testament (Psalm 2, 16, 32, 41, 69, 95 and 109).

In the book of Revelation, there are seven churches, seven angels to the seven churches, seven seals, seven trumpet plagues, seven thunders and the seven last plagues. The first resurrection of the dead takes place at the seventh trumpet, completing salvation for the Church.

Number seven and God's Feast Days
There are 7 annual Holy Days, beginning with Passover and ending with the Last Great Day (the day after the Feast of Tabernacles ends in the fall). The cycle of the holy days is completed in 3 festival seasons by the seventh month of the sacred calendar: Passover and Unleavened Bread, 1st month; Pentecost, 3rd month; and Trumpets, Atonement, Tabernacles and Last Great Day, seventh month.

Additional info on Biblical Meaning of 7
Jesus performed seven miracles on God's holy Sabbath Day (which ran from Friday sunset to Saturday sunset), thus affirming its continued sacredness to God and necessity in the life of the believer.

Signaling theory is useful for describing behavior when two parties (individuals or organizations) have access to different information. Typically, one party, the sender, must choose whether and how to communicate (or signal) that information, and the other party, the receiver, must choose how to interpret the signal.

In contract theory, signalling (or signaling; see spelling differences) is the idea that one party (termed the agent) credibly conveys some information about itself to another party (the principal

 

 

4

ZERO

64

28

1
3

ONE
34

16

7
3

TWO
58

13

4
5

THREE
56

29

2
4

FOUR
60

24

6
4

FIVE
42

24

6
3

SIX
52

16

7
5

SEVEN
65

20

2
5

EIGHT
49

31

4
4

NINE
42

24

6
3

TEN
39

12

3
6

ELEVEN
63

 
27

9
6

TWELVE
87

24

6
8

THIRTEEN
99

 
45

9
8

FOURTEEN
104

41

5
7

FIFTEEN
65

38

2
7

SIXTEEN
96

33

6
9

SEVENTEEN
109

37

1
8

EIGHTEEN
73

46

1
8

NINETEEN
86

41

5
6

TWENTY
107

26

8
9

TWENTYONE
141

42

6
9

TWENTYTWO
165

39

3
11

TWENTYTHREE
163

55

1
10

TWENTYFOUR
167

50

5
10

TWENTYFIVE
149

50

5
9

TWENTYSIX
159

42

6
11

TWENTYSEVEN
172

46

1
11

TWENTYEIGHT
156

57

3
10

TWENTYNINE
149

50

5
6

THIRTY
100

37

1
9

THIRTYONE
134

53

8
9

THIRTYTWO
158

50

5
11

THIRTYTHREE
156

66

3
10

THIRTYFOUR
160

61

7
10

THIRTYFIVE
142

61

7
9

THIRTYSIX
152

53

8
11

THIRTYSEVEN
165

57

3
11

THIRTYEIGHT
149

68

5
10

THIRTYNINE
142

61

7
5

FORTY
84

30

3
8

FORTYONE
118

46

1
8

FORTYTWO
142

43

7
10

FORTYTHREE
140

59

5
9

FORTYFOUR
144

 
54

9
9

FORTYFIVE
126

 
54

9
8

FORTYSIX
136

46

1
10

FORTYSEVEN
149

50

5
10

FORTYEIGHT
133

61

7
9

FORTYNINE
126

 
54

9
5

FIFTY
66

30

3
8

FIFTYONE
100

46

1
8

FIFTYTWO
124

43

7
10

FIFTYTHREE
122

59

5
9

FIFTYFOUR
126

 
54

9
9

FIFTYFIVE
108

 
54

9
8

FIFTYSIX
118

46

1
10

FIFTYSEVEN
131

50

5
10

FIFTYEIGHT
115

61

7
9

FIFTYNINE
108

 
54

9
5

SIXTY
97

25

7
8

SIXTYONE
131

41

5
8

SIXTYTWO
155

38

2
10

SIXTYTHREE
153

 
54

 
9
9

SIXTYFOUR
157

49

4
9

SIXTYFIVE
139

49

4
8

SIXTYSIX
149

41

5
10

SIXTYSEVEN
162

 
45

9
10

SIXTYEIGHT
146

56

2
9

SIXTYNINE
139

49

4
7

SEVENTY
110

29

2
10

SEVENTYONE
144

45

9
10

SEVENTYTWO
168

42

6
12

SEVENTYTHREE
166

58

4
11

SEVENTYFOUR
170

53

8
11

SEVENTYFIVE
152

53

8
10

SEVENTYSIX
162

45

9
12

SEVENTYSEVEN
175

49

4
12

SEVENTYEIGHT
159

60

6
11

SEVENTYNINE
152

53

8
6

EIGHTY
74

38

2
9

EIGHTYONE
108

54

9
9

EIGHTYTWO
132

51

6
11

EIGHTYTHREE
130

67

4
10

EIGHTYFOUR
134

62

8
10

EIGHTYFIVE
116

62

8
9

EIGHTYSIX
126

54

9
11

EIGHTYSEVEN
139

58

4
11

EIGHTYEIGHT
123

69

6
10

EIGHTYNINE
116

62

8
6

NINETY
87

33

6
9

NINETYONE
121

49

4
9

NINETYTWO
145

46

1
11

NINETYTHREE
143

62

8
10

NINETYFOUR
147

57

3
10

NINETYFIVE
129

57

3
9

NINETYSIX
139

49

4
11

NINETYSEVEN
152

53

8
11

NINETYEIGHT
136

64

1
10

NINETYNINE
129

57

3

 

 

4

NINE
42
24
6
8

NINETEEN
86
41
5
6

NINETY
87
33
6
9

NINETYONE
121
49
4
9

NINETYTWO
145
46
1
11

NINETYTHREE
143
62
8
10

NINETYFOUR
147
57
3
10

NINETYFIVE
129
57
3
9

NINETYSIX
139
49
4
11

NINETYSEVEN
152
53
8
11

NINETYEIGHT
136
64
1
10

NINETYNINE
129
57
3
109
First Total
1456
592
52
1+0+9
Add to Reduce
1+4+5+6
5+9+2
5+2
10
Second Total
16
16
7
1+0
Reduce to Deduce
1+6
1+6
-
1
Essence of Number
7
7
7

 

 

NINE NINETEEN NINETY NINETYONE NINETYTWO NINETYTHREE NINETYFOUR

NINETYFIVE NINETYSIX NINETYSEVEN NINETYEIGHT NINETYNINE

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
NINE
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
1
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
2
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
3
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
4
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
24
-
4
NINE
42
24
24
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINETEEN
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
5
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
6
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
7
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
8
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
9
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
12
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
41
-
4
NINETEEN
86
41
41
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINETY
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
13
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
14
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
15
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
16
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
17
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
18
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
-
-
33
-
4
NINETY
87
33
33
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINETYONE
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
19
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
20
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
21
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
22
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
23
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
24
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
O
=
6
25
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
N
=
5
26
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
27
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
49
-
4
NINETYONE
121
49
49
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINETYTWO
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
28
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
29
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
30
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
31
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
32
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
33
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
T
=
2
34
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
W
=
5
35
1
W
23
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
36
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
-
-
46
-
4
NINETYTWO
145
46
46
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINETYTHREE
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
37
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
38
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
39
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
40
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
41
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
42
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
T
=
2
43
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
44
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
R
=
9
45
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
46
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
47
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
45
-
11
NINETYTHREE
143
62
62
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINETYFOUR
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
48
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
49
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
50
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
51
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
52
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
53
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
F
=
6
54
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
55
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
U
=
3
56
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
F
=
9
57
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
-
-
57
-
10
NINETYFOUR
147
57
57
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINETYFIVE
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
58
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
59
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
60
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
61
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
62
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
63
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
F
=
6
64
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
I
=
9
65
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
V
=
4
66
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
67
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
57
68
10
NINETYFIVE
129
57
55
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINETYSIX
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
69
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
70
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
71
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
72
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
73
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
74
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
S
=
1
75
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
76
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
X
=
6
77
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
-
-
49
-
9
NINETYSIX
139
49
49
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINETYSEVEN
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
78
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
79
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
80
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
81
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
82
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
83
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
S
=
1
84
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
E
=
5
85
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
V
=
4
86
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
87
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
88
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
53
-
11
NINETYSEVEN
152
53
53
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINETYEIGHT
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
89
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
90
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
91
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
92
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
93
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
94
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
E
=
5
95
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
96
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
G
=
7
97
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
98
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
T
=
2
99
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
-
-
64
-
11
NINETYEIGHT
136
64
64
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NINETYNINE
-
-
-
-
-
-
-
-
-
-
-
-
-
N
=
5
100
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
101
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
102
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
103
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
104
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
105
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
N
=
5
106
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
107
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
108
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
109
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
57
-
10
NINETYNINE
129
57
57
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
592
-
109
First Total
1456
592
592
-
2
28
3
8
260
36
77
16
162
-
-
5+9+2
-
1+0+9
Add to Reduce
1+4+5+6
5+9+2
5+9+2
-
-
2+8
-
-
2+6+0
3+6
7+7
1+6
1+6+2
-
-
16
-
10
Second Total
16
16
16
-
2
10
3
8
8
9
14
7
9
-
-
1+6
-
1+0
Reduce to Deduce
1+6
1+6
1+6
-
-
1+0
-
-
-
-
1+4
-
-
-
-
7
-
1
Essence of Number
7
7
7
-
2
1
3
8
8
9
5
7
9

 

NINE NINETEEN NINETY NINETYONE NINETYTWO NINETYTHREE NINETYFOUR

NINETYFIVE NINETYSIX NINETYSEVEN NINETYEIGHT NINETYNINE

 

TRANSPOSED LETTERS REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
N
=
5
1
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
2
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
3
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
4
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
5
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
6
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
7
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
8
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
9
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
12
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
13
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
14
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
15
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
16
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
17
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
18
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
N
=
5
19
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
20
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
21
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
22
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
23
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
24
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
O
=
6
25
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
N
=
5
26
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
27
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
28
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
29
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
30
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
31
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
32
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
33
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
T
=
2
34
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
W
=
5
35
1
W
23
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
36
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
N
=
5
37
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
38
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
39
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
40
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
41
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
42
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
T
=
2
43
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
44
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
R
=
9
45
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
46
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
47
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
48
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
49
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
50
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
51
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
52
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
53
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
F
=
6
54
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
55
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
U
=
3
56
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
F
=
9
57
1
F
18
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
58
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
59
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
60
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
61
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
62
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
63
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
F
=
6
64
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
I
=
9
65
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
V
=
4
66
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
67
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
69
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
70
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
71
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
72
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
73
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
74
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
S
=
1
75
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
76
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
X
=
6
77
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
N
=
5
78
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
79
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
80
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
81
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
82
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
83
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
S
=
1
84
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
E
=
5
85
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
V
=
4
86
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
87
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
88
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
89
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
90
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
91
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
92
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
93
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
94
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
E
=
5
95
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
96
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
G
=
7
97
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
98
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
T
=
2
99
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
N
=
5
100
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
101
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
102
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
103
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
104
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
105
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
N
=
5
106
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
107
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
108
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
109
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
592
-
109
First Total
1456
592
592
-
2
28
3
8
260
36
77
16
162
-
-
5+9+2
-
1+0+9
Add to Reduce
1+4+5+6
5+9+2
5+9+2
-
-
2+8
-
-
2+6+0
3+6
7+7
1+6
1+6+2
-
-
16
-
10
Second Total
16
16
16
-
2
10
3
8
8
9
14
7
9
-
-
1+6
-
1+0
Reduce to Deduce
1+6
1+6
1+6
-
-
1+0
-
-
-
-
1+4
-
-
-
-
7
-
1
Essence of Number
7
7
7
-
2
1
3
8
8
9
5
7
9

 

NINE NINETEEN NINETY NINETYONE NINETYTWO NINETYTHREE NINETYFOUR

NINETYFIVE NINETYSIX NINETYSEVEN NINETYEIGHT NINETYNINE

TRANSPOSED LETTERS REARRANGED IN NUMERICAL ORDER

NINE NINETEEN NINETY NINETYONE NINETYTWO NINETYTHREE NINETYFOUR

NINETYFIVE NINETYSIX NINETYSEVEN NINETYEIGHT NINETYNINE

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
75
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
S
=
1
84
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
9
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
17
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
23
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
32
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
34
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
41
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
43
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
52
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
62
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
73
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
82
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
93
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
99
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
104
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
U
=
3
56
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
V
=
4
66
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
V
=
4
86
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
N
=
5
1
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
3
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
4
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
5
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
7
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
8
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
12
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
13
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
15
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
16
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
19
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
21
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
22
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
26
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
27
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
28
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
30
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
31
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
W
=
5
35
1
W
23
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
37
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
39
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
40
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
46
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
47
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
48
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
50
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
51
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
58
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
60
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
61
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
67
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
69
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
71
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
72
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
78
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
80
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
81
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
85
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
87
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
88
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
89
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
91
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
92
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
95
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
100
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
102
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
103
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
106
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
108
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
109
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
25
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
36
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
F
=
6
54
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
55
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
F
=
6
64
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
X
=
6
77
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
Y
=
7
18
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
Y
=
7
24
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
Y
=
7
33
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
Y
=
7
42
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
Y
=
7
53
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
Y
=
7
63
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
Y
=
7
74
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
Y
=
7
83
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
Y
=
7
94
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
G
=
7
97
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
Y
=
7
105
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
44
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
H
=
8
98
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
I
=
9
2
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
6
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
14
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
20
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
29
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
38
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
45
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
49
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
F
=
9
57
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
59
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
65
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
70
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
76
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
79
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
90
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
96
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
101
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
107
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
592
-
109
First Total
1456
592
592
-
2
28
3
8
260
36
77
16
162
-
-
5+9+2
-
1+0+9
Add to Reduce
1+4+5+6
5+9+2
5+9+2
-
-
2+8
-
-
2+6+0
3+6
7+7
1+6
1+6+2
-
-
16
-
10
Second Total
16
16
16
-
2
10
3
8
8
9
14
7
9
-
-
1+6
-
1+0
Reduce to Deduce
1+6
1+6
1+6
-
-
1+0
-
-
-
-
1+4
-
-
-
-
7
-
1
Essence of Number
7
7
7
-
2
1
3
8
8
9
5
7
9

 

TRANSPOSED LETTERS REARRANGED IN NUMERICAL ORDER

 

NINE NINETEEN NINETY NINETYONE NINETYTWO NINETYTHREE NINETYFOUR

NINETYFIVE NINETYSIX NINETYSEVEN NINETYEIGHT NINETYNINE

 

 

 

 

-
-
-
-
-
SIGNALS
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
7
-
1
S
19
10
1
-
1
2
-
4
-
6
-
8
-
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
6
-
8
9
G
=
7
-
1
G
7
7
7
-
-
2
-
4
-
6
7
8
-
N
=
5
-
1
N
14
5
5
-
-
2
-
4
5
6
-
8
-
A
=
1
-
1
A
1
1
1
-
1
2
-
4
-
6
-
8
-
L
=
3
-
1
L
12
3
3
-
-
2
3
4
-
6
-
8
-
S
=
1
-
1
S
19
10
1
-
1
2
-
4
-
6
-
8
-
-
-
45
-
7
SIGNALS
81
45
27
-
1
2
3
4
5
6
7
8
9
-
-
4+5
-
-
-
8+1
4+5
2+7
-
-
-
-
-
-
-
-
-
-
-
-
9
-
7
SIGNALS
9
9
9
-
1
2
3
4
5
6
7
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
-
SIGNALS
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
-
1
S
19
10
1
-
1
2
-
4
-
6
-
8
-
A
=
1
-
1
A
1
1
1
-
1
2
-
4
-
6
-
8
-
S
=
1
-
1
S
19
10
1
-
1
2
-
4
-
6
-
8
-
L
=
3
-
1
L
12
3
3
-
-
2
3
4
-
6
-
8
-
N
=
5
-
1
N
14
5
5
-
-
2
-
4
5
6
-
8
-
G
=
7
-
1
G
7
7
7
-
-
2
-
4
-
6
7
8
-
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
6
-
8
9
-
-
45
-
7
SIGNALS
126
54
45
-
3
2
3
4
5
6
7
8
9
-
-
4+5
-
-
-
1+2+6
5+4
4+5
-
-
-
-
-
-
-
-
-
-
-
-
9
-
7
SIGNALS
9
9
9
-
3
2
3
4
5
6
7
8
9

 

 

-
-
-
-
-
SIGNALS
-
-
-
-
1
3
5
7
9
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
L
=
3
-
1
L
12
3
3
-
-
3
-
-
-
N
=
5
-
1
N
14
5
5
-
-
-
5
-
-
G
=
7
-
1
G
7
7
7
-
-
-
-
7
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
-
-
45
-
7
SIGNALS
126
54
45
-
3
3
5
7
9
-
-
4+5
-
-
-
1+2+6
5+4
4+5
-
-
-
-
-
-
-
-
9
-
7
SIGNALS
9
9
9
-
3
3
5
7
9

 

 

-
SIGNALLING
-
-
-
1
S
19
10
1
1
I
9
9
9
1
G
7
7
7
1
N
14
5
5
1
A
1
1
1
1
L
12
3
3
1
L
12
3
3
1
I
9
9
9
1
N
14
5
5
1
G
7
7
7
10
SIGNALLING
104
59
50
-
-
1+0+4
5+9
5+0
10
SIGNALLING
5
14
5
1+0
-
-
1+4
-
1
SIGNALLING
5
5
5

Signalling - definition of signalling by The Free Dictionary
www.thefreedictionary.com › signalling

Define signalling. signalling synonyms, signalling pronunciation, signalling translation, English dictionary definition of signalling.

 

-
-
-
-
-
SIGNALLING
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
7
-
1
S
19
10
1
-
1
2
-
4
-
6
-
8
-
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
6
-
8
9
G
=
7
-
1
G
7
7
7
-
-
2
-
4
-
6
7
8
-
N
=
5
-
1
N
14
5
5
-
-
2
-
4
5
6
-
8
-
A
=
1
-
1
A
1
1
1
-
1
2
-
4
-
6
-
8
-
L
=
3
-
1
L
12
3
3
-
-
2
3
4
-
6
-
8
-
L
=
3
-
1
L
12
3
3
-
-
2
3
4
-
6
-
8
-
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
6
-
8
9
N
=
5
-
1
N
14
5
5
-
-
2
-
4
5
6
-
8
-
G
=
7
-
1
G
7
7
7
-
-
2
-
4
-
6
7
8
-
-
-
50
-
10
SIGNALLING
104
59
50
-
2
2
6
4
10
6
14
8
18
-
-
5+0
-
1+0
-
1+0+4
5+9
5+0
-
-
-
-
-
1+0
-
1+4
-
1+8
-
-
5
-
1
SIGNALLING
5
14
5
-
2
2
6
4
1
6
5
8
9
-
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
1
SIGNALLING
5
5
5
-
2
2
6
4
1
6
5
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
-
SIGNALLING
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
7
-
1
S
19
10
1
-
1
2
-
4
-
6
-
8
-
A
=
1
-
1
A
1
1
1
-
1
2
-
4
-
6
-
8
-
L
=
3
-
1
L
12
3
3
-
-
2
3
4
-
6
-
8
-
L
=
3
-
1
L
12
3
3
-
-
2
3
4
-
6
-
8
-
N
=
5
-
1
N
14
5
5
-
-
2
-
4
5
6
-
8
-
N
=
5
-
1
N
14
5
5
-
-
2
-
4
5
6
-
8
-
G
=
7
-
1
G
7
7
7
-
-
2
-
4
-
6
7
8
-
G
=
7
-
1
G
7
7
7
-
-
2
-
4
-
6
7
8
-
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
6
-
8
9
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
6
-
8
9
-
-
50
-
10
SIGNALLING
104
59
50
-
2
2
6
4
10
6
14
8
18
-
-
5+0
-
1+0
-
1+0+4
5+9
5+0
-
-
-
-
-
1+0
-
1+4
-
1+8
-
-
5
-
1
SIGNALLING
5
14
5
-
2
2
6
4
1
6
5
8
9
-
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
1
SIGNALLING
5
5
5
-
2
2
6
4
1
6
5
8
9

 

 

-
-
-
-
-
SIGNALLING
-
-
-
-
1
3
5
7
9
S
=
7
-
1
S
19
10
1
-
1
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
-
-
-
L
=
3
-
1
L
12
3
3
-
-
3
-
-
-
L
=
3
-
1
L
12
3
3
-
-
3
-
-
-
N
=
5
-
1
N
14
5
5
-
-
-
5
-
-
N
=
5
-
1
N
14
5
5
-
-
-
5
-
-
G
=
7
-
1
G
7
7
7
-
-
-
-
7
-
G
=
7
-
1
G
7
7
7
-
-
-
-
7
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
-
-
50
-
10
SIGNALLING
104
59
50
-
2
6
10
14
18
-
-
5+0
-
1+0
-
1+0+4
5+9
5+0
-
-
-
1+0
1+4
1+8
-
-
5
-
1
SIGNALLING
5
14
5
-
2
6
1
5
9
-
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
5
-
1
SIGNALLING
5
5
5
-
2
6
1
5
9

 

 

-
-
-
-
17
SIGNALS FROM BEYOND
-
-
-
S
=
1
-
7
SIGNALS
81
45
9
F
=
6
-
4
FROM
52
25
7
B
=
2
-
6
BEYOND
65
29
2
-
-
9
-
17
SIGNALS FROM BEYOND
198
99
18
-
-
-
-
1+7
-
1+9+8
9+9
1+8
-
-
9
-
8
SIGNALS FROM BEYOND
18
18
9
-
-
-
-
-
-
1+8
1+8
-
-
-
9
-
8
SIGNALS FROM BEYOND
9
9
9

 

 

-
-
-
-
17
SIGNALS FROM BEYOND
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
-
7
SIGNALS
81
45
9
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FROM
52
25
7
-
-
-
-
-
-
-
-
-
-
B
=
2
-
6
BEYOND
65
29
2
-
-
-
-
-
-
-
-
-
-
-
-
9
-
17
SIGNALS FROM BEYOND
198
99
18
-
1
2
3
4
5
6
7
8
9
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
2
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
G
=
7
3
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
N
=
5
4
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
A
=
1
5
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
L
=
3
6
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
S
=
1
7
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
45
-
7
SIGNALS FROM BEYOND
81
45
15
-
-
-
-
-
-
-
-
-
-
F
=
6
8
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
M
=
4
11
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
-
-
25
-
4
SIGNALS FROM BEYOND
52
25
25
-
-
-
-
-
-
-
-
-
-
B
=
2
12
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
Y
=
7
14
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
O
=
6
15
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
N
=
5
16
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
D
=
4
17
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
-
-
29
-
6
SIGNALS FROM BEYOND
65
29
29
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
17
SIGNALS FROM BEYOND
-
-
-
-
3
2
3
8
15
18
14
8
18
S
=
1
-
7
SIGNALS
81
45
9
-
-
-
-
-
1+5
1+8
1+4
-
1+8
F
=
6
-
4
FROM
52
25
7
-
3
2
3
8
6
9
5
8
9
B
=
2
-
6
BEYOND
65
29
2
-
-
-
-
-
-
-
-
-
-
-
-
9
-
17
SIGNALS FROM BEYOND
198
99
18
-
3
2
3
8
6
9
5
8
9
-
-
-
-
1+7
-
1+9+8
9+9
1+8
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
SIGNALS FROM BEYOND
18
18
9
-
3
2
3
8
6
9
5
8
9
-
-
-
-
-
-
1+8
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
SIGNALS FROM BEYOND
9
9
9
-
3
2
3
8
6
9
5
8
9

 

 

-
-
-
-
17
SIGNALS FROM BEYOND
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
-
7
SIGNALS
81
45
9
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FROM
52
25
7
-
-
-
-
-
-
-
-
-
-
B
=
2
-
6
BEYOND
65
29
2
-
-
-
-
-
-
-
-
-
-
-
-
9
-
17
SIGNALS FROM BEYOND
198
99
18
-
1
2
3
4
5
6
7
8
9
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
I
=
9
2
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
G
=
7
3
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
N
=
5
4
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
A
=
1
5
1
A
1
1
1
-
1
-
-
-
-
-
-
8
-
L
=
3
6
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
S
=
1
7
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
F
=
6
8
1
F
6
6
6
-
-
-
-
-
-
6
-
8
-
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
M
=
4
11
1
M
13
4
4
-
-
-
-
4
-
-
-
8
-
B
=
2
12
1
B
2
2
2
-
-
2
-
-
-
-
-
8
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
Y
=
7
14
1
Y
25
7
7
-
-
-
-
-
-
-
7
8
-
O
=
6
15
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
N
=
5
16
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
D
=
4
17
1
D
4
4
4
-
-
-
-
4
-
-
-
8
-
-
-
-
-
17
SIGNALS FROM BEYOND
-
-
-
-
3
2
3
8
15
18
14
8
18
S
=
1
-
7
SIGNALS
81
45
9
-
-
-
-
-
1+5
1+8
1+4
-
1+8
F
=
6
-
4
FROM
52
25
7
-
3
2
3
8
6
9
5
8
9
B
=
2
-
6
BEYOND
65
29
2
-
-
-
-
-
-
-
-
-
-
-
-
9
-
17
SIGNALS FROM BEYOND
198
99
18
-
3
2
3
8
6
9
5
8
9
-
-
-
-
1+7
-
1+9+8
9+9
1+8
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
SIGNALS FROM BEYOND
18
18
9
-
3
2
3
8
6
9
5
8
9
-
-
-
-
-
-
1+8
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
SIGNALS FROM BEYOND
9
9
9
-
3
2
3
8
6
9
5
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
17
SIGNALS FROM BEYOND
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
-
7
SIGNALS
81
45
9
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FROM
52
25
7
-
-
-
-
-
-
-
-
-
-
B
=
2
-
6
BEYOND
65
29
2
-
-
-
-
-
-
-
-
-
-
-
-
9
-
17
SIGNALS FROM BEYOND
198
99
18
-
1
2
3
4
5
6
7
8
9
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
A
=
1
5
1
A
1
1
1
-
1
-
-
-
-
-
-
8
-
S
=
1
7
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
B
=
2
12
1
B
2
2
2
-
-
2
-
-
-
-
-
8
-
L
=
3
6
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
M
=
4
11
1
M
13
4
4
-
-
-
-
4
-
-
-
8
-
D
=
4
17
1
D
4
4
4
-
-
-
-
4
-
-
-
8
-
N
=
5
4
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
N
=
5
16
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
F
=
6
8
1
F
6
6
6
-
-
-
-
-
-
6
-
8
-
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
O
=
6
15
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
G
=
7
3
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
Y
=
7
14
1
Y
25
7
7
-
-
-
-
-
-
-
7
8
-
I
=
9
2
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
-
-
-
-
17
SIGNALS FROM BEYOND
-
-
-
-
3
2
3
8
15
18
14
8
18
S
=
1
-
7
SIGNALS
81
45
9
-
-
-
-
-
1+5
1+8
1+4
-
1+8
F
=
6
-
4
FROM
52
25
7
-
3
2
3
8
6
9
5
8
9
B
=
2
-
6
BEYOND
65
29
2
-
-
-
-
-
-
-
-
-
-
-
-
9
-
17
SIGNALS FROM BEYOND
198
99
18
-
3
2
3
8
6
9
5
8
9
-
-
-
-
1+7
-
1+9+8
9+9
1+8
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
SIGNALS FROM BEYOND
18
18
9
-
3
2
3
8
6
9
5
8
9
-
-
-
-
-
-
1+8
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
SIGNALS FROM BEYOND
9
9
9
-
3
2
3
8
6
9
5
8
9

 

 

EXTRATERRESTRIAL INTELLIGENCE

 

-
-
-
-
28
EXTRATERRESTRIAL INTELLIGENCE
-
-
-
E
=
5
-
16
EXTRATERRESTRIAL
213
78
6
T
=
2
-
12
INTELLIGENCE
115
61
7
-
-
7
-
28
EXTRATERRESTRIAL INTELLIGENCE
328
139
13
-
-
-
-
2+8
-
3+2+8
1+3+9
1+3
-
-
7
-
10
EXTRATERRESTRIAL INTELLIGENCE
13
13
4
-
-
-
-
1+0
-
1+3
1+3
-
-
-
7
-
10
EXTRATERRESTRIAL INTELLIGENCE
4
4
4

 

 

-
-
-
-
28
EXTRATERRESTRIAL INTELLIGENCE
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
6
-
16
EXTRATERRESTRIAL
213
78
6
-
-
-
-
-
-
-
-
-
-
I
=
2
-
12
INTELLIGENCE
115
61
7
-
-
-
-
-
-
-
-
-
-
-
-
8
-
28
EXTRATERRESTRIAL INTELLIGENCE
328
139
13
-
1
2
3
4
5
6
7
8
9
E
=
5
1
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
X
=
6
2
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
T
=
2
3
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
R
=
9
4
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
A
=
1
5
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
T
=
2
6
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
7
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
8
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
S
=
1
11
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
12
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
R
=
9
13
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
14
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
A
=
1
15
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
L
=
3
16
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
-
-
45
-
16
EXTRATERRESTRIAL INTELLIGENCE
81
45
15
-
-
-
-
-
-
-
-
-
-
I
=
9
17
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
18
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
19
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
20
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
L
=
3
21
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
L
=
3
22
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
I
=
9
23
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
G
=
7
24
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
E
=
5
25
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
26
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
C
=
3
27
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
28
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
45
-
12
EXTRATERRESTRIAL INTELLIGENCE
81
45
15
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
28
EXTRATERRESTRIAL INTELLIGENCE
-
-
-
-
-
-
-
-
-
-
-
-
-
E
=
5
-
16
EXTRATERRESTRIAL
213
78
6
-
3
8
12
4
40
6
7
8
63
T
=
2
-
12
INTELLIGENCE
115
61
7
-
-
-
1+2
-
4+0
-
-
-
6+3
-
-
7
-
28
EXTRATERRESTRIAL INTELLIGENCE
328
139
13
-
3
8
3
4
4
6
7
8
5
-
-
-
-
2+8
-
3+2+8
1+3+9
1+3
-
-
-
-
-
-
-
-
-
-
-
-
7
-
10
EXTRATERRESTRIAL INTELLIGENCE
13
13
4
-
3
8
3
4
4
6
7
8
9
-
-
-
-
1+0
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
10
EXTRATERRESTRIAL INTELLIGENCE
4
4
4
-
3
8
3
4
4
6
7
8
9

 

EXTRATERRESTRIAL INTELLIGENCE

 

-
-
-
-
28
EXTRATERRESTRIAL INTELLIGENCE
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
6
-
16
EXTRATERRESTRIAL
213
78
6
-
-
-
-
-
-
-
-
-
-
I
=
2
-
12
INTELLIGENCE
115
61
7
-
-
-
-
-
-
-
-
-
-
-
-
8
-
28
EXTRATERRESTRIAL INTELLIGENCE
328
139
13
-
1
2
3
4
5
6
7
8
9
E
=
5
1
1
E
5
5
5
-
-
-
-
4
5
-
-
8
-
X
=
6
2
1
X
24
6
6
-
-
-
-
4
-
6
-
8
-
T
=
2
3
1
T
20
2
2
-
-
2
-
4
-
-
-
8
-
R
=
9
4
1
R
18
9
9
-
-
-
-
4
-
-
-
8
9
A
=
1
5
1
A
1
1
1
-
1
-
-
4
-
-
-
8
-
T
=
2
6
1
T
20
2
2
-
-
2
-
4
-
-
-
8
-
E
=
5
7
1
E
5
5
5
-
-
-
-
4
5
-
-
8
-
R
=
9
8
1
R
18
9
9
-
-
-
-
4
-
-
-
8
9
R
=
9
9
1
R
18
9
9
-
-
-
-
4
-
-
-
8
9
E
=
5
10
1
E
5
5
5
-
-
-
-
4
5
-
-
8
-
S
=
1
11
1
S
19
10
1
-
1
-
-
4
-
-
-
8
-
T
=
2
12
1
T
20
2
2
-
-
2
-
4
-
-
-
8
-
R
=
9
13
1
R
18
9
9
-
-
-
-
4
-
-
-
8
9
I
=
9
14
1
I
9
9
9
-
-
-
-
4
-
-
-
8
9
A
=
1
15
1
A
1
1
1
-
1
-
-
4
-
-
-
8
-
L
=
3
16
1
L
12
3
3
-
-
-
3
4
-
-
-
8
-
I
=
9
17
1
I
9
9
9
-
-
-
-
4
-
-
-
8
9
N
=
5
18
1
N
14
5
5
-
-
-
-
4
5
-
-
8
-
T
=
2
19
1
T
20
2
2
-
-
2
-
4
-
-
-
8
-
E
=
5
20
1
E
5
5
5
-
-
-
-
4
5
-
-
8
-
L
=
3
21
1
L
12
3
3
-
-
-
3
4
-
-
-
8
-
L
=
3
22
1
L
12
3
3
-
-
-
3
4
-
-
-
8
-
I
=
9
23
1
I
9
9
9
-
-
-
-
4
-
-
-
8
9
G
=
7
24
1
G
7
7
7
-
-
-
-
4
-
-
7
8
-
E
=
5
25
1
E
5
5
5
-
-
-
-
4
5
-
-
8
-
N
=
5
26
1
N
14
5
5
-
-
-
-
4
5
-
-
8
-
C
=
3
27
1
C
3
3
3
-
-
-
3
4
-
-
-
8
-
E
=
5
28
1
E
5
5
5
-
-
-
-
4
5
-
-
8
-
-
-
-
-
28
EXTRATERRESTRIAL INTELLIGENCE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
28
EXTRATERRESTRIAL INTELLIGENCE
-
-
-
-
-
-
-
-
-
-
-
-
-
E
=
5
-
16
EXTRATERRESTRIAL
213
78
6
-
3
8
12
4
40
6
7
8
63
T
=
2
-
12
INTELLIGENCE
115
61
7
-
-
-
1+2
-
4+0
-
-
-
6+3
-
-
7
-
28
EXTRATERRESTRIAL INTELLIGENCE
328
139
13
-
3
8
3
4
4
6
7
8
5
-
-
-
-
2+8
-
3+2+8
1+3+9
1+3
-
-
-
-
-
-
-
-
-
-
-
-
7
-
10
EXTRATERRESTRIAL INTELLIGENCE
13
13
4
-
3
8
3
4
4
6
7
8
9
-
-
-
-
1+0
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
10
EXTRATERRESTRIAL INTELLIGENCE
4
4
4
-
3
8
3
4
4
6
7
8
9

 

EXTRATERRESTRIAL INTELLIGENCE

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
28
EXTRATERRESTRIAL INTELLIGENCE
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
6
-
16
EXTRATERRESTRIAL
213
78
6
-
-
-
-
-
-
-
-
-
-
I
=
2
-
12
INTELLIGENCE
115
61
7
-
-
-
-
-
-
-
-
-
-
-
-
8
-
28
EXTRATERRESTRIAL INTELLIGENCE
328
139
13
-
1
2
3
4
5
6
7
8
9
A
=
1
5
1
A
1
1
1
-
1
-
-
4
-
-
-
8
-
S
=
1
11
1
S
19
10
1
-
1
-
-
4
-
-
-
8
-
A
=
1
15
1
A
1
1
1
-
1
-
-
4
-
-
-
8
-
T
=
2
3
1
T
20
2
2
-
-
2
-
4
-
-
-
8
-
T
=
2
6
1
T
20
2
2
-
-
2
-
4
-
-
-
8
-
T
=
2
12
1
T
20
2
2
-
-
2
-
4
-
-
-
8
-
T
=
2
19
1
T
20
2
2
-
-
2
-
4
-
-
-
8
-
L
=
3
16
1
L
12
3
3
-
-
-
3
4
-
-
-
8
-
L
=
3
21
1
L
12
3
3
-
-
-
3
4
-
-
-
8
-
L
=
3
22
1
L
12
3
3
-
-
-
3
4
-
-
-
8
-
C
=
3
27
1
C
3
3
3
-
-
-
3
4
-
-
-
8
-
E
=
5
10
1
E
5
5
5
-
-
-
-
4
5
-
-
8
-
E
=
5
1
1
E
5
5
5
-
-
-
-
4
5
-
-
8
-
E
=
5
7
1
E
5
5
5
-
-
-
-
4
5
-
-
8
-
N
=
5
18
1
N
14
5
5
-
-
-
-
4
5
-
-
8
-
E
=
5
20
1
E
5
5
5
-
-
-
-
4
5
-
-
8
-
E
=
5
25
1
E
5
5
5
-
-
-
-
4
5
-
-
8
-
N
=
5
26
1
N
14
5
5
-
-
-
-
4
5
-
-
8
-
E
=
5
28
1
E
5
5
5
-
-
-
-
4
5
-
-
8
-
X
=
6
2
1
X
24
6
6
-
-
-
-
4
-
6
-
8
-
G
=
7
24
1
G
7
7
7
-
-
-
-
4
-
-
7
8
-
R
=
9
4
1
R
18
9
9
-
-
-
-
4
-
-
-
8
9
R
=
9
8
1
R
18
9
9
-
-
-
-
4
-
-
-
8
9
R
=
9
9
1
R
18
9
9
-
-
-
-
4
-
-
-
8
9
R
=
9
13
1
R
18
9
9
-
-
-
-
4
-
-
-
8
9
I
=
9
14
1
I
9
9
9
-
-
-
-
4
-
-
-
8
9
I
=
9
17
1
I
9
9
9
-
-
-
-
4
-
-
-
8
9
I
=
9
23
1
I
9
9
9
-
-
-
-
4
-
-
-
8
9
-
-
-
-
28
EXTRATERRESTRIAL INTELLIGENCE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
28
EXTRATERRESTRIAL INTELLIGENCE
-
-
-
-
-
-
-
-
-
-
-
-
-
E
=
5
-
16
EXTRATERRESTRIAL
213
78
6
-
3
8
12
4
40
6
7
8
63
T
=
2
-
12
INTELLIGENCE
115
61
7
-
-
-
1+2
-
4+0
-
-
-
6+3
-
-
7
-
28
EXTRATERRESTRIAL INTELLIGENCE
328
139
13
-
3
8
3
4
4
6
7
8
5
-
-
-
-
2+8
-
3+2+8
1+3+9
1+3
-
-
-
-
-
-
-
-
-
-
-
-
7
-
10
EXTRATERRESTRIAL INTELLIGENCE
13
13
4
-
3
8
3
4
4
6
7
8
9
-
-
-
-
1+0
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
10
EXTRATERRESTRIAL INTELLIGENCE
4
4
4
-
3
8
3
4
4
6
7
8
9

 

EXTRATERRESTRIAL INTELLIGENCE

 

-
-
-
-
28
EXTRATERRESTRIAL INTELLIGENCE
-
-
-
-
1
2
3
5
6
7
9
E
=
6
-
16
EXTRATERRESTRIAL
213
78
6
-
-
-
-
-
-
-
-
I
=
2
-
12
INTELLIGENCE
115
61
7
-
-
-
-
-
-
-
-
-
-
8
-
28
EXTRATERRESTRIAL INTELLIGENCE
328
139
13
-
1
2
3
5
6
7
9
A
=
1
5
1
A
1
1
1
-
1
-
-
-
-
-
-
S
=
1
11
1
S
19
10
1
-
1
-
-
-
-
-
-
A
=
1
15
1
A
1
1
1
-
1
-
-
-
-
-
-
T
=
2
3
1
T
20
2
2
-
-
2
-
-
-
-
-
T
=
2
6
1
T
20
2
2
-
-
2
-
-
-
-
-
T
=
2
12
1
T
20
2
2
-
-
2
-
-
-
-
-
T
=
2
19
1
T
20
2
2
-
-
2
-
-
-
-
-
L
=
3
16
1
L
12
3
3
-
-
-
3
-
-
-
-
L
=
3
21
1
L
12
3
3
-
-
-
3
-
-
-
-
L
=
3
22
1
L
12
3
3
-
-
-
3
-
-
-
-
C
=
3
27
1
C
3
3
3
-
-
-
3
-
-
-
-
E
=
5
10
1
E
5
5
5
-
-
-
-
5
-
-
-
E
=
5
1
1
E
5
5
5
-
-
-
-
5
-
-
-
E
=
5
7
1
E
5
5
5
-
-
-
-
5
-
-
-
N
=
5
18
1
N
14
5
5
-
-
-
-
5
-
-
-
E
=
5
20
1
E
5
5
5
-
-
-
-
5
-
-
-
E
=
5
25
1
E
5
5
5
-
-
-
-
5
-
-
-
N
=
5
26
1
N
14
5
5
-
-
-
-
5
-
-
-
E
=
5
28
1
E
5
5
5
-
-
-
-
5
-
-
-
X
=
6
2
1
X
24
6
6
-
-
-
-
-
6
-
-
G
=
7
24
1
G
7
7
7
-
-
-
-
-
-
7
-
R
=
9
4
1
R
18
9
9
-
-
-
-
-
-
-
9
R
=
9
8
1
R
18
9
9
-
-
-
-
-
-
-
9
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
9
R
=
9
13
1
R
18
9
9
-
-
-
-
-
-
-
9
I
=
9
14
1
I
9
9
9
-
-
-
-
-
-
-
9
I
=
9
17
1
I
9
9
9
-
-
-
-
-
-
-
9
I
=
9
23
1
I
9
9
9
-
-
-
-
-
-
-
9
-
-
-
-
28
EXTRATERRESTRIAL INTELLIGENCE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
28
EXTRATERRESTRIAL INTELLIGENCE
-
-
-
-
-
-
-
-
-
-
-
E
=
5
-
16
EXTRATERRESTRIAL
213
78
6
-
3
8
12
40
6
7
63
T
=
2
-
12
INTELLIGENCE
115
61
7
-
-
-
1+2
4+0
-
-
6+3
-
-
7
-
28
EXTRATERRESTRIAL INTELLIGENCE
328
139
13
-
3
8
3
4
6
7
5
-
-
-
-
2+8
-
3+2+8
1+3+9
1+3
-
-
-
-
-
-
-
-
-
-
7
-
10
EXTRATERRESTRIAL INTELLIGENCE
13
13
4
-
3
8
3
4
6
7
9
-
-
-
-
1+0
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
7
-
10
EXTRATERRESTRIAL INTELLIGENCE
4
4
4
-
3
8
3
4
6
7
9

 

EXTRATERRESTRIAL INTELLIGENCE

 

JUST SIX NUMBERS

Martin Rees 1999

OUR COSMIC HABITAT I PLANETS STARS AND LIFE

Page 24


"A proton is 1,836 times heavier than an electron, and the number 1,836 would have the same connotations to any 'intelligence' "

Page 24 /25 '
" A manifestly artificial signal-even if it were as boring as lists of prime numbers, or the digits of 'pi' - would imply that ntelli-gence' wasn't unique to the Earth and had evolved elsewhere. The nearest potential sites are so far away that signals would take many years in transit. For this reason alone, transmission would be primarily one-way.
There would be time to send a measured response, but no scope for quick repartee! any remote beings who could communicate with us would have some concepts of mathematics and logic that paralleled our own. And they would also share a knowledge of the basic particles and forces that govern our universe. Their habitat may be very different (and the biosphere even more different) from ours here on Earth; but they, and their planet, would be made of atoms just like those on Earth. For them, as for us, the most important particles would be protons and electrons: one electron orbiting a proton makes a hydrogen atom, and electric currents and radio transmitters involve streams of electrons. A proton is 1,836 times heavier than an electron, and the number 1,836 would have the same connotations to any 'intelligence' able and motivated to transmit radio signals. All the basic forces and natural laws would be the same. Indeed, this uniformity - without which our universe would be a far more baffling place - seems to extend to the remotest galaxies that astronomers can study.
 Later chapters in this book will, however, speculate about other 'universes', forever beyond range of our telescopes, where different laws may prevail.)
Clearly, alien beings wouldn't use metres, kilograms or seconds. But we could exchange information about the ratios of two masses (such as thc ratio of proton and electron masses) or of two lengths, which are 'pure numbers' that don't depend on what units are used: the statement that one rod is ten times as long as another is true (or false) whether we measure lengths/ 1feet or metres or some alien units"

"A proton is 1,836 times heavier than an electron, and the number 1,836 would have the same connotations to any 'intelligence' "

 

AS ABOVE SO BELOW

THIS IS THE SEEN OF THE SCENE UNSEEN THE UNSEEN SCENE OF THE SCENE UNSEEN THIS IS THE SEEN

AS BELOW SO ABOVE

Martin Rees 1999

A proton is 1,836 times heavier than an electron, and the number 1,836 would have the same connotations to any 'intelligence' "

 

ONE 1 ONE

EIGHT 8 EIGHT

THREE 3 THREE

SIX 6 SIX

 

SEARCH FOR EXTRATERRESTRIAL INTELLIGENCE

 

 

 
 
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