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

Author

N. J. A. Sloane, Mar 31 2016

Keywords

• nonn
• easy

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]

Crossrefs

Cf. A001583.

Programs

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

Extensions

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