Pattern 99: Genesis 1:1 Values in the Square Root of 2

Pattern Statement:

Reverse the traditional value and Hebrew alphabet-position value of the first word of Genesis 1:1 to produce an offset of 31967. Beginning with 333, five multiples of this offset select five digits from the square root of 2. Those digits form 70492—the reversed value and position of the sixth word.

Why this pattern matters

The first word of Genesis 1:1 has a traditional value of 913 and a Hebrew alphabet-position value of 76. Reversing these numbers separately produces 319 and 67, which combine to form the offset 31967.

The sixth word has a traditional value of 407 and a position value of 29. Reversing these separately produces the target sequence 70492. The program finds this exact five-digit sequence at five regularly spaced locations in the digits of the square root of 2.

913 → 319
76 → 67
319 and 67 → 31967

How this pattern is measured

First, use the value and position of word 1 to calculate the offset:

Value: 913 → 319
Position: 76 → 67
Offset: 31967

Starting with 333, add successive multiples of 31967:

333 + (1 × 31967) = 32300
333 + (2 × 31967) = 64267
333 + (3 × 31967) = 96234
333 + (4 × 31967) = 128201
333 + (5 × 31967) = 160168

The program reads the digits at these five locations in the square root of 2. They are 7, 0, 4, 9, and 2, producing 70492.

This result is compared with the reversed value and position of word 6:

Value: 407 → 704
Position: 29 → 92
Target: 70492

Result for Genesis 1:1

Square-root-of-2 locations 32300, 64267, 96234, 128201, and 160168 contain 7-0-4-9-2, exactly matching the target 70492.

The locations shown above are the zero-based byte indexes used by sqrt2.java. They assume that sqrt2.dec has exactly the same file format as the file used for the original calculation.

Genesis 1:1 found in square root of 2.

Read detail page for Pattern 99

Probability note

If the five selected digits are modeled as independent and uniformly distributed, the probability of matching the specified five-digit sequence 70492 is approximately:

1 in 105, or 1 in 100,000

This is a simple estimate for this five-digit match alone. It does not account for other starting numbers, reversal rules, offsets, word pairs, or mathematical constants that might have been tested.

Supporting tables

The highlighted entries provide the input and target numbers used in the calculation. Word 1 supplies 913 and 76, producing the offset 31967. Word 6 supplies 407 and 29, producing the target 70492.

Genesis 1:1
Hebrew WordNumber of Letters
בראשית6
ברא3
אלהימ5
את2
השםימ5
ואת3
הארצ4
Total Words: 7Total Letters: 28
Traditional Hebrew Letter ValuesWord Total
2 200 1 300 10 400 913
2 200 1 203
1 30 5 10 40 86
1 400 401
5 300 40 10 40 395
6 1 400 407
5 1 200 90 296
Verse Value Total2701
Hebrew Alphabet PositionsWord Total
2 20 1 21 10 22 76
2 20 1 23
1 12 5 10 13 41
1 22 23
5 21 13 10 13 62
6 1 22 29
5 1 20 18 44
Verse Position Total298