A052159 Lower prime of a difference of 6 (G-minor-6 primes) between consecutive primes of 6k+5 form.

23, 47, 53, 83, 131, 167, 173, 233, 251, 257, 263, 353, 383, 443, 503, 557, 563, 587, 593, 647, 653, 677, 941, 947, 971, 977, 1013, 1097, 1103, 1181, 1187, 1217, 1223, 1283, 1361, 1367, 1433, 1493, 1553, 1601, 1613, 1901, 1907, 1973, 2063, 2207, 2333

Offset

1,1

Comments

The corresponding larger primes (G-major-6 primes) are also of the form 6k+5.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

A031924(n) == 5 (mod 6).

Example

a(1)=23 since a(1) + 6 = 29 is the next prime and 29 = 6*4 + 5.

Mathematica

Select[Partition[Prime[Range[400]], 2, 1], #[[2]]-#[[1]]==6&&Mod[#, 6]=={5, 5}&][[All, 1]] (* Harvey P. Dale, Jan 05 2022 *)

Crossrefs

Cf. A031924, A031925.

Sequence in context: A188833 A121762 A185935 * A097361 A073025 A209193

Adjacent sequences: A052156 A052157 A052158 * A052160 A052161 A052162

Keyword

nonn

Author

Labos Elemer, Jan 25 2000

Status

approved