A186304 A007522(n)-2.

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

Author

Marco Matosic, Feb 17 2011

Keywords

• nonn

Comments

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).

Links

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

Programs

Mathematica

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