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A101315 Primes p such that p+2, p^2 - 2p + 2, and p^2 - 2p + 4 are all prime. 3
3, 5, 11, 431, 1877, 2081, 3851, 9437, 10427, 11351, 12821, 14561, 20147, 26861, 30137, 30851, 37571, 38711, 38921, 40637, 46817, 59357, 73361, 116687, 120941, 125507, 127817, 138371, 144407, 153521, 173021, 177011, 178091, 178817, 185567 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

FORMULA

a(n) >> n log^4 n. - Charles R Greathouse IV, Jan 14 2017

EXAMPLE

a(3)=11: 11+2=13, (11-1)^2+1=101 and (11-1)^2+1+2=103 are primes.

PROG

(PARI) is(n)=isprime(n) && isprime(n+2) && isprime(n^2-2*n+2) && isprime(n^2-2*n+4) \\ Charles R Greathouse IV, Jan 14 2017

CROSSREFS

Sequence in context: A280876 A079037 A281087 * A320433 A066541 A279728

Adjacent sequences:  A101312 A101313 A101314 * A101316 A101317 A101318

KEYWORD

nonn

AUTHOR

Ray G. Opao, Dec 23 2004

EXTENSIONS

New name from Charles R Greathouse IV, Jan 14 2017

STATUS

approved

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Last modified January 29 11:16 EST 2020. Contains 331337 sequences. (Running on oeis4.)