Groups in the Range until 1,000,000

Groups in the Range until 1,000,000

There are in the range of primes until 1,000,000:

78,498 prime numbers

Repeating groups

Size	Number of repeating groups clusters			Total number of groups in all clusters of the size	Ratio of repeating groups # to primes #, %
2		674		78,298	99.75	Comparing with range until 100,000 increase
3		4,942		75,170	95.76
4		12,283		58,724	74.81
5		10,220		27,661	35.24
6		3,269		7,073	9.01
7		653		1,331	1.70	decrease
8		141		283	0.36
9		34		68	0.09
10		7		14	0.02
11		2	4		0.005
12		1	2		0.003

The same in the range until 100,000

The density of the repeating groups of the size of 2
aspires to 100%

Repeating irregular groups

Size	Number of foursomes	Total number of irregular groups in all foursomes of the group size
2	629	66,919
3	4,776	71,012
4	12,155	57,759
5	10,162	27,462
6	3,254	7,037
7	652	1,329
8	140	281
9	34	68
10	7	14
11	2	4
12	1	2

The same in the range until 100,000

666666666666

Regular Groups

Type Size 2 3 4 5 6 7 8 9 10

Symmetriads 6728 54 709 1 96 14 5

Curls 3282 246 316 27 24 5 2 1

Stairs 4427 466 46 5 1

Flats 2993 229

Zigzags 425 51 5

[ Up ] [ Introduction of Variation ] [ Regular and Repeating Groups ] [ Groups in the Range until 100,000 ] [ Groups in the Range until 1,000,000 ] [ Key of Primes Structure ] [ Distribution of gaps and variations ] [ Boolean Algebra of Classes ] [ Consecutive primes ] [ Groups of primes in the infinite set ] [ Groups of primes in a limited range ] [ We have for each kind of regular and repeating groups ]