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

1,1

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]

Prog

(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

Crossrefs

Cf. A001583, A270798.

Sequence in context: A183676 A204394 A250818 * A284952 A250616 A115925

Adjacent sequences: A271207 A271208 A271209 * A271211 A271212 A271213

Keyword

nonn

Author

Eric M. Schmidt, Apr 02 2016

Status

approved