A186305 -id:A186305 - cp's OEIS frontend

A186293 (A007519(n)-1)/2.

8, 20, 36, 44, 48, 56, 68, 96, 116, 120, 128, 140, 156, 168, 176, 200, 204, 216, 224, 228, 260, 284, 288, 296, 300, 308, 320, 336, 380, 384, 404, 428, 440, 464, 468, 476, 488, 504, 516, 524, 548, 564, 576, 596, 600, 608

Offset: 1

Marco Matosic, Feb 17 2011

Cf. A186305.

(Select[1 + 8 Range@ 155, PrimeQ] -1)/2 (* Robert G. Wilson v *)

a(n) = A186294(n)-1.

a(n) = 4*A005123(n).

A186304 A007522(n)-2.

Original entry on oeis.org

5, 21, 29, 45, 69, 77, 101, 125, 149, 165, 189, 197, 221, 237, 261, 269, 309, 357, 365, 381, 429, 437, 461, 477, 485, 501, 597, 605, 629, 645, 717, 725, 741, 749, 821, 837, 861, 885, 909, 917, 965, 981, 989, 1029

Offset: 1

Marco Matosic, Feb 17 2011

nonn

Extensions to Fermat’s Little Theorem precisely indicate a composite or prime number. See A186293 for an introduction to A186293-A186305.
The sequence shows p-2 where p are the primes == 7 (mod 8).
(k*p+(p-2)) ^ (j*(p-1)+1) == (k*p+((p-1)/2)) ^ (j*(p-1)+(p-2)) == p-2 (mod p).

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

Select[Prime[Range[200]],Mod[#,8]==7&]-2 (* Harvey P. Dale, Dec 24 2021 *)

cp's OEIS Frontend

A186293 (A007519(n)-1)/2.

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