A270799 Artiads (A001583) congruent to 1 mod 50 and having 2 as a quintic residue.

3251, 4751, 14251, 17401, 21401, 27551, 32051, 32251, 36151, 36451, 42451, 51001, 52501, 54101, 55001, 56501, 59051, 60101, 61051, 83401, 104801, 113051, 116101, 119851, 121351, 170701, 174901, 178501, 178601, 179051, 182101, 185951, 190301, 202751, 213901

Offset: 1

Author

N. J. A. Sloane, Apr 01 2016

Keywords

• nonn

Links

• Eric M. Schmidt, Table of n, a(n) for n = 1..1000
• E. Lehmer, Artiads characterized, J. Math. Anal. Appl. 15 1966 118-131. See page 123.
• E. Lehmer, Artiads characterized, J. Math. Anal. Appl. 15 1966 118-131 [annotated and corrected scanned copy]

Crossrefs

Cf. A001583.

Programs

Sage

def isa(n) : return n % 50 == 1 and is_prime(n) and 2.powermod((n-1)//5, n) == 1 and fibonacci((n - 1)//5) % n == 0 # Eric M. Schmidt, Apr 01 2016

Extensions

Definition edited by and more terms from Eric M. Schmidt, Apr 01 2016