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A188717 Primes p such that all prime factors of p-1 have exponent 4. 1
17, 1297, 1336337, 4477457, 29986577, 45212177, 126247697, 193877777, 406586897, 562448657, 916636177, 1416468497, 1944810001, 3208542737, 4162314257, 5006411537, 5972816657, 12444741137, 19565295377, 34188010001, 38167092497 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..21.

EXAMPLE

17-1=2^4, 1297-1=2^4*3^4, 1336337-1=2^4*17^4, 4477457-1=2^4*23^4,...

MATHEMATICA

Select[Table[Prime[n], {n, 600000}], Length[Union[Last/@FactorInteger[#-1]]]==1&&Union[Last/@FactorInteger[#-1]]=={4}&]

CROSSREFS

Cf. A089195 (exponent 2), A037896 (primes n^4+1).

Sequence in context: A022012 A022546 A268067 * A266866 A289945 A128542

Adjacent sequences:  A188714 A188715 A188716 * A188718 A188719 A188720

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Apr 09 2011

EXTENSIONS

a(11)-a(21) from Donovan Johnson, Apr 10 2011

STATUS

approved

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Last modified February 25 02:54 EST 2020. Contains 332217 sequences. (Running on oeis4.)