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

2, 5, 7, 9, 10, 15, 16, 17, 24, 26, 28, 30, 32, 35, 40, 41, 43, 49, 51, 55, 56, 60, 66, 69, 72, 76, 77, 87, 94, 98, 102, 103, 104, 108, 116, 120, 123, 124, 126, 128, 135, 137, 140, 144, 148, 154, 160, 161, 164, 166, 170, 171, 185, 190, 192, 194, 195, 201, 206, 220

Offset: 1

Author

Jason Earls, Jul 02 2001

Keywords

• easy
• nonn

Comments

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

References

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

Links

• Harry J. Smith, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A062284.

Programs

Mathematica

Select[Range[400],PrimeQ[Prime[#]+50]&]  (* Harvey P. Dale, Mar 01 2011 *)

PARI

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

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

Extensions

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