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Search: id:A062288
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| A062288 |
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Numbers n such that p(n)+50 is also prime, where p(k) is k-th prime. |
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+0
2
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| 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
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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"Numerical evidence makes it plausible that there are infinitely many primes p such that p + 50 is also prime." - Burton, p. 52.
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REFERENCES
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D. M. Burton, Elementary Number Theory, Allyn and Bacon, Inc., Boston, MA, 1976, pp. 52.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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PROGRAM
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(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)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 04 2009]
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CROSSREFS
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Cf. A062284.
Sequence in context: A104428 A050114 A047482 this_sequence A077059 A007300 A007069
Adjacent sequences: A062285 A062286 A062287 this_sequence A062289 A062290 A062291
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KEYWORD
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easy,nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Jul 02 2001
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Jul 05 2001
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