A270798 Hyperartiads.

5281, 5591, 6211, 6271, 8581, 8861, 9011, 9661, 10391, 10691, 11621, 12011, 12911, 13451, 15901, 19001, 19801, 20521, 20921, 21481, 21701, 22901, 22921, 23371, 26141, 27241, 27481, 28001, 28711, 29131, 30971, 31321, 31511, 32341, 32381, 34211, 38261, 38611

Offset

1,1

Comments

Artiads (A001583) for which 5 is a quintic residue. [Lehmer] - Eric M. Schmidt, Apr 01 2016

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. Beware errors!

E. Lehmer, Artiads characterized, J. Math. Anal. Appl. 15 1966 118-131 [annotated and corrected scanned copy]

Prog

(Sage) def is_hyperartiad(n) : return n % 10 == 1 and is_prime(n) and 5.powermod((n-1)//5, n) == 1 and fibonacci((n-1)//5) % n == 0 # Eric M. Schmidt, Apr 01 2016

Crossrefs

Cf. A001583.

Sequence in context: A265985 A234994 A223341 * A237002 A178027 A053397

Adjacent sequences: A270795 A270796 A270797 * A270799 A270800 A270801

Keyword

nonn,easy

Author

N. J. A. Sloane, Mar 31 2016

Extensions

Extended and corrected by Eric M. Schmidt, Apr 01 2016

Status

approved