A271264 Septic artiads (A270800) congruent to 1 mod 98 and for which 7 is a 7th power residue.

876611, 1163653, 1471079, 1608769, 2367289, 2368759, 2538103, 2564857, 2621501, 2693629, 2774381, 3120713, 3495269, 3498797, 3636781, 3974881, 4240853, 4376681, 4571309, 4654217, 4702433, 4867171, 5047883, 5066993, 5629121, 5644213, 5760343, 5779649, 6262397

Offset

1,1

Comments

Septic hyperartiads (A270801) congruent to 1 mod 98.

Links

Eric M. Schmidt, Table of n, a(n) for n = 1..100

E. Lehmer, Artiads characterized, J. Math. Anal. Appl. 15 1966 118-131. See p. 128-129, Theorem 8.

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

Prog

(Sage)
def isa(n) :
    if not (n % 98 == 1 and is_prime(n)) : return False
    R.<t> = PolynomialRing(GF(n))
    return 7.powermod((n-1)//7, n) == 1 and all(r[0]^((n-1)//7) == 1 for r in (t^3 + t^2 - 2*t - 1).roots())

Crossrefs

Cf. A001583, A270800, A270801.

Sequence in context: A253523 A254421 A254428 * A224595 A254387 A254394

Adjacent sequences: A271261 A271262 A271263 * A271265 A271266 A271267

Keyword

nonn

Author

Eric M. Schmidt, Apr 03 2016

Status

approved