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A088856 Primes p such that cyclotomic(p,p-1) is prime. 2
2, 3, 7, 127, 8599 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Some of the larger entries may only correspond to probable primes.

For p > 2, these are numbers p such that ((p-1)^p - 1)/(p-2) is prime. - Thomas Ordowski, Sep 02 2021

LINKS

Table of n, a(n) for n=1..5.

Eric Weisstein's World of Mathematics, Cyclotomic Polynomial

FORMULA

a(n) = A101753(n) + 1. - Thomas Ordowski, Sep 02 2021

MATHEMATICA

lst={}; Do[p=Prime[n]; If[PrimeQ[Cyclotomic[p, p-1]], AppendTo[lst, p]], {n, 400}]; lst

PROG

(PARI) isok(p) = isprime(p) && isprime(polcyclo(p, p-1)); \\ Michel Marcus, Sep 02 2021

CROSSREFS

Cf. A070519, A070525, A101753.

Sequence in context: A182514 A062935 A083436 * A173913 A007013 A103405

Adjacent sequences:  A088853 A088854 A088855 * A088857 A088858 A088859

KEYWORD

more,nonn

AUTHOR

T. D. Noe, Nov 23 2003

STATUS

approved

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Last modified May 22 02:18 EDT 2022. Contains 353933 sequences. (Running on oeis4.)