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Search: id:A064545
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| A064545 |
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Lesser of two consecutive primes such that n*p + q is a perfect square, p<q. |
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+0
2
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| 17, 7, 2, 23, 23, 17, 449, 13, 773, 7, 2, 1201, 41, 19, 66821, 13, 8191, 2477, 7, 66191, 113, 19, 2, 331, 8209, 27583, 89, 47, 433, 17, 1534751, 37, 2081, 113, 7, 7057, 263, 43, 2, 37, 41737, 4441, 13, 318023, 17, 43, 43801, 71, 23, 7, 11941, 23, 4231, 293
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,62
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EXAMPLE
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a(1)=17 because 1*17+19=36, a square. a(2)=7 because 2*7+11=25 a square.
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MATHEMATICA
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Do[k = 1; While[ !IntegerQ[ Sqrt[ n*Prime[k] + Prime[k + 1]]], k++ ]; Print[ Prime[k]], {n, 1, 100} ]
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PROGRAM
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(PARI) ps(n, k) = k*prime(n)+prime(n+1) k=1; for(n=1, 10^6, if(issquare(ps(n, k)), print1(prime(n), " "); k++; n=0))
(PARI) ps(m, n)= { n*prime(m) + prime(m + 1) } { n=0; default(primelimit, 4294965247); for (n=1, 100, m=1; while (!issquare(ps(m, n)), m++); write("b064545.txt", n, " ", prime(m)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 18 2009]
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CROSSREFS
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Cf. A064543.
Sequence in context: A040276 A166211 A086763 this_sequence A114032 A107807 A075710
Adjacent sequences: A064542 A064543 A064544 this_sequence A064546 A064547 A064548
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KEYWORD
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nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Oct 08 2001
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 09 2001
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