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 A062284 Primes p such that p + 50 is also prime. 5
 3, 11, 17, 23, 29, 47, 53, 59, 89, 101, 107, 113, 131, 149, 173, 179, 191, 227, 233, 257, 263, 281, 317, 347, 359, 383, 389, 449, 491, 521, 557, 563, 569, 593, 641, 659, 677, 683, 701, 719, 761, 773, 809, 827, 857, 887, 941, 947, 971, 983, 1013, 1019, 1103 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS "Numerical evidence makes it plausible that there are infinitely many primes p such that p + 50 is also prime", see Burton in References. REFERENCES D. M. Burton, Elementary Number Theory, Allyn and Bacon, Inc., Boston, MA, 1976, p. 52. LINKS Harry J. Smith, Table of n, a(n) for n = 1..1000 EXAMPLE a(3)=17 since 17+50= 67, a prime. MATHEMATICA Select[Range[2000], PrimeQ[#] && PrimeQ[# + 50] &] (* Vincenzo Librandi, Apr 22 2015 *) Select[Prime[Range[200]], PrimeQ[#+50]&] (* Harvey P. Dale, Jun 17 2020 *) PROG (PARI) for(n=1, 60, if(isprime(prime(n)+50), print(prime(n)))) (PARI) { n=0; forprime (p=2, 10^5, if (isprime(p + 50), write("b062284.txt", n++, " ", p); if (n==1000, break)) ) } \\ Harry J. Smith, Aug 04 2009 (MAGMA) [p: p in PrimesUpTo(2000) | IsPrime(p+50)]; // Vincenzo Librandi, Apr 22 2015 CROSSREFS Cf. A062288. Sequence in context: A075334 A056983 A175073 * A141339 A069348 A165561 Adjacent sequences:  A062281 A062282 A062283 * A062285 A062286 A062287 KEYWORD nonn,easy AUTHOR Jason Earls, Jul 02 2001 EXTENSIONS More terms from Larry Reeves (larryr(AT)acm.org), Jul 05 2001 STATUS approved

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Last modified September 19 20:55 EDT 2020. Contains 337182 sequences. (Running on oeis4.)