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A062737 Primes p such that 4p-1 is also prime. 10

%I #19 Feb 04 2024 01:14:09

%S 2,3,5,11,17,41,53,71,83,131,137,173,197,227,263,281,293,383,431,467,

%T 503,521,563,587,593,617,677,683,701,743,797,827,887,911,977,983,1013,

%U 1061,1091,1151,1163,1181,1277,1307,1361,1481,1511,1523,1553,1607,1613

%N Primes p such that 4p-1 is also prime.

%C For n>1, 4*a(n) is a solution to the equation phi(x-1) - phi(x) = x/2. - _Farideh Firoozbakht_, Dec 17 2014

%H Harry J. Smith, <a href="/A062737/b062737.txt">Table of n, a(n) for n = 1..1000</a>

%p select(n -> isprime(n) and isprime(4*n-1), [2,seq(2*k+1,k=1..1000)]); # _Robert Israel_, Dec 17 2014

%o (PARI) { n=0; forprime (p=2, 10^5, if (isprime(4*p - 1), write("b062737.txt", n++, " ", p); if (n==1000, break)) ) } \\ _Harry J. Smith_, Aug 10 2009

%Y Cf. A005384, A007700, A005382.

%K nonn,easy

%O 1,1

%A _Reiner Martin_, Jul 12 2001

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)