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A070519 Cyclotomic[n,n] (i.e. the value of n-th cyclotomic polynomial at n) is a prime number. +0
6
2, 3, 4, 6, 10, 12, 14, 19, 31, 46, 74, 75, 98, 102, 126, 180, 236, 310, 368, 1770, 1858, 3512, 4878, 5730, 7547, 7990, 8636, 9378 (list; graph; listen)
OFFSET

1,1

COMMENT

These are probable primes for n > 1770. When n is prime, then the solutions are given in A088790.

LINKS

Eric Weisstein's World of Mathematics, Cyclotomic Polynomial

MATHEMATICA

Do[s=Cyclotomic[n, n]; If[PrimeQ[s], Print[n]], {n, 2, 256}]

CROSSREFS

Cf. A070518, A070520.

Cf. A088790 ((n^n-1)/(n-1) is prime).

Cf. A088817 (cyclotomic(2n, n) is prime), A088875 (cyclotomic(n, -n) is prime).

Sequence in context: A005457 A005453 A122907 this_sequence A098392 A076850 A068482

Adjacent sequences: A070516 A070517 A070518 this_sequence A070520 A070521 A070522

KEYWORD

more,nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), May 02 2002

EXTENSIONS

More terms from T. D. Noe (noe(AT)sspectra.com), Oct 17 2003

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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