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A270801 Septic hyperartiads: septic artiads (A270800) for which 7 is a 7th power residue. 2
665897, 741413, 794207, 859601, 876611, 892627, 980911, 1102249, 1116977, 1123879, 1129213, 1163653, 1228543, 1237139, 1393771, 1434553, 1453019, 1471079, 1513163, 1570577, 1588133, 1608769, 1638211, 1638743, 1645253, 1670887, 1702933, 1704137, 1785337 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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.

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

PROG

(Sage) def is_septic_hyperartiad(n) :

....if not (n % 14 == 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())

end # Eric M. Schmidt, Apr 02 2016

CROSSREFS

Cf. A001583, A270800.

Sequence in context: A038816 A144132 A069373 * A162840 A233817 A204887

Adjacent sequences:  A270798 A270799 A270800 * A270802 A270803 A270804

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Apr 01 2016, typo corrected Apr 02 2016

EXTENSIONS

Definition corrected by and more terms from Eric M. Schmidt, Apr 02 2016

STATUS

approved

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Last modified February 24 00:38 EST 2020. Contains 332195 sequences. (Running on oeis4.)