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A062288 Numbers k such that prime(k)+50 is also prime. 2

%I #18 Jul 01 2018 17:54:39

%S 2,5,7,9,10,15,16,17,24,26,28,30,32,35,40,41,43,49,51,55,56,60,66,69,

%T 72,76,77,87,94,98,102,103,104,108,116,120,123,124,126,128,135,137,

%U 140,144,148,154,160,161,164,166,170,171,185,190,192,194,195,201,206,220

%N Numbers k such that prime(k)+50 is also prime.

%C "Numerical evidence makes it plausible that there are infinitely many primes p such that p + 50 is also prime." - Burton, p. 52.

%D D. M. Burton, Elementary Number Theory, Allyn and Bacon, Inc., Boston, MA, 1976, pp. 52.

%H Harry J. Smith, <a href="/A062288/b062288.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Range[400],PrimeQ[Prime[#]+50]&] (* _Harvey P. Dale_, Mar 01 2011 *)

%o (PARI) for(n=1,65, if(isprime(prime(n)+50),print(n)))

%o (PARI) { n=m=0; forprime (p=2, 10^5, m++; if (isprime(p + 50), write("b062288.txt", n++, " ", m); if (n==1000, break)) ) } \\ _Harry J. Smith_, Aug 04 2009

%Y Cf. A062284.

%K easy,nonn

%O 1,1

%A _Jason Earls_, Jul 02 2001

%E More terms from Larry Reeves (larryr(AT)acm.org), Jul 05 2001

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Last modified April 24 14:23 EDT 2024. Contains 371960 sequences. (Running on oeis4.)