A271210 Artiads (A001583) congruent to 1 mod 50 and for which 5 is a quintic residue.

13451, 15901, 19001, 19801, 21701, 22901, 28001, 38851, 50551, 64301, 65101, 66851, 78101, 89101, 94351, 95701, 96401, 117751, 124001, 126001, 127951, 136601, 138401, 150301, 162251, 164701, 167051, 178301, 178501, 181001, 183301, 185051, 185401, 185951, 186301

Offset: 1

Author

Eric M. Schmidt, Apr 02 2016

Keywords

• nonn

Comments

Hyperartiads (A270798) congruent to 1 mod 50.

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 p. 123-124, Theorem 3.
• E. Lehmer, Artiads characterized, J. Math. Anal. Appl. 15 1966 118-131 [annotated and corrected scanned copy]

Crossrefs

Cf. A001583, A270798.

Programs

Sage

def isa(n) : return n % 50 == 1 and is_prime(n) and 5.powermod((n-1)//5, n) == 1 and fibonacci((n - 1)//5) % n == 0