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

1,1

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

Mathematica

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

Prog

(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

Crossrefs

Cf. A062284.

Sequence in context: A047482 A367491 A174272 * A077059 A260166 A007300

Adjacent sequences: A062285 A062286 A062287 * A062289 A062290 A062291

Keyword

easy,nonn

Author

Jason Earls, Jul 02 2001

Extensions

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

Status

approved