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A106068 Primes p such that 3p + 4 and 4p + 3 are primes. 2

%I #17 Sep 08 2022 08:45:17

%S 5,11,19,31,41,59,89,109,151,179,181,229,241,331,349,389,439,509,521,

%T 599,661,719,769,839,881,929,1019,1039,1129,1229,1291,1409,1451,1481,

%U 1549,1669,1741,1759,1801,1811,2111,2131,2539,2621,2671,2699,2819,2879

%N Primes p such that 3p + 4 and 4p + 3 are primes.

%C Prime terms in A124855.

%H Marius A. Burtea, <a href="/A106068/b106068.txt">Table of n, a(n) for n = 1..534</a>

%t Select[Prime[Range[450]], PrimeQ[4#+3]&&PrimeQ[3#+4]&]

%o (Magma) [p: p in PrimesUpTo(5000)|IsPrime(3*p+4) and IsPrime(4*p+3)] // _Vincenzo Librandi_, Jan 30 2011

%o (PARI) isok(p) = isprime(p) && isprime(3*p+4) && isprime(4*p+3); \\ _Michel Marcus_, Oct 12 2018

%Y Cf. A034936, A095278, A124855.

%K nonn

%O 1,1

%A _Zak Seidov_, May 07 2005

%E Extended by _Ray Chandler_, Mar 14 2007

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)