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A062284 Primes such that p + 50 is also prime. +0
2
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; listen)
OFFSET

1,1

COMMENT

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

REFERENCES

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

EXAMPLE

a(3)=17 since 17+50= 67, a prime.

PROGRAM

(PARI) for(n=1, 60, if(isprime(prime(n)+50), print(prime(n))))

CROSSREFS

Cf. A062288.

Sequence in context: A057179 A075334 A056983 this_sequence A141339 A069348 A038960

Adjacent sequences: A062281 A062282 A062283 this_sequence A062285 A062286 A062287

KEYWORD

easy,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jul 02 2001

EXTENSIONS

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

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.


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