A258356 Numbers n such that cyclotomic polynomial value Phi(10,n!) is prime.

2, 36, 101, 107, 267, 316

Offset

1,1

Comments

All values except 2 are probable primes.

a(7) > 7560.

That is, numbers n such that n! belongs to A246392. - Michel Marcus, May 30 2015

Links

Table of n, a(n) for n=1..6.

Example

2 is in the sequence because Phi(10,2!) = 1 - 2 + 2^2 - 2^3 + 2^4 = 11 is prime.

Mathematica

Select[Range[0, 7560], PrimeQ[Cyclotomic[10, #!]] &]

Crossrefs

Cf. A002981, A002982, A046029, A200906.

Sequence in context: A187298 A069067 A278930 * A145450 A196558 A187509

Adjacent sequences: A258353 A258354 A258355 * A258357 A258358 A258359

Keyword

nonn,more

Author

Robert Price, May 27 2015

Status

approved