Pattern 66 Contiguous Letter Sequences Divisible by 37 and 73

Pattern Statement:

The 28 letters of Genesis 1:1 contain 406 contiguous letter sequences. Using traditional Hebrew letter values, 20 of these sequences have values divisible by 37, and 10 have values divisible by 73. Both totals are substantially higher than the respective counts expected from divisibility alone.

Why this pattern matters

For an unrestricted integer, approximately one out of every 37 values is divisible by 37 and one out of every 73 values is divisible by 73. This pattern tests whether contiguous sections of Genesis 1:1 produce unusually many multiples of both members of the prime pair 37 and 73.

How this pattern is measured

Remove the spaces between the seven Hebrew words, producing a sequence of 28 letters. Beginning at each letter, calculate the traditional Hebrew value of every contiguous sequence ending at that letter or any later letter. This produces 406 sequences:

28+27+26+⋯+1=406.

Count how many of the 406 values are evenly divisible by 37 and how many are evenly divisible by 73.

The accompanying Java program performs these calculations and compares the result with computer-generated 28-letter strings.

Result for Genesis 1:1

20 sequences divisible by 37 1
0 sequences divisible by 73

Divisibility alone would produce approximate expected counts of:

406/37=10.97

and

406/73=5.56.

Genesis 1:1 produces approximately 1.82 times the expected count for 37 and 1.80 times the expected count for 73.

Probability note

The probability for this pattern should be estimated by counting how many randomized 28-letter strings equal or exceed the Genesis 1:1 result under the same scoring rule. The number of trials, randomization method, qualifying results, and random seed should all be reported.

This page uses the probability notation provided in the original pattern sequence.

Supporting tables

Genesis 1:1
Hebrew Word	Number of Letters
בראשית	6
ברא	3
אלהימ	5
את	2
השםימ	5
ואת	3
הארצ	4
Total Words: 7	Total Letters: 28

Traditional Hebrew Letter Values						Word 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 Total						2701

Hebrew Alphabet Positions						Word 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 Total						298