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A101315 Primes p such that p+2, p^2 - 2p + 2, and p^2 - 2p + 4 are all prime. 3

%I

%S 3,5,11,431,1877,2081,3851,9437,10427,11351,12821,14561,20147,26861,

%T 30137,30851,37571,38711,38921,40637,46817,59357,73361,116687,120941,

%U 125507,127817,138371,144407,153521,173021,177011,178091,178817,185567

%N Primes p such that p+2, p^2 - 2p + 2, and p^2 - 2p + 4 are all prime.

%H Charles R Greathouse IV, <a href="/A101315/b101315.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) >> n log^4 n. - _Charles R Greathouse IV_, Jan 14 2017

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

%o (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

%K nonn

%O 1,1

%A _Ray G. Opao_, Dec 23 2004

%E New name from _Charles R Greathouse IV_, Jan 14 2017

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Last modified February 21 05:23 EST 2020. Contains 332086 sequences. (Running on oeis4.)