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A271264 Septic artiads (A270800) congruent to 1 mod 98 and for which 7 is a 7th power residue. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Septic hyperartiads (A270801) congruent to 1 mod 98.
LINKS
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
Sequence in context: A253523 A254421 A254428 * A224595 A254387 A254394
KEYWORD
nonn
AUTHOR
Eric M. Schmidt, Apr 03 2016
STATUS
approved

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Last modified May 20 23:09 EDT 2024. Contains 372720 sequences. (Running on oeis4.)