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A113152
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a(1) = 2; a(n) is the smallest prime > a(n-1) such that a(n) + a(n-1) is a fourth power.
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0
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2, 79, 1217, 2879, 7121, 152879, 178897, 12781103, 24233953, 25553183, 29147633, 70852367, 1800921329, 3205490207, 6270364129, 30533756207, 39265770209, 52240479791, 68933130209, 73192853807, 74570506193, 78996293183
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Cf. similar sequences A062064, A062066.
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EXAMPLE
| 2+79=3^4, 79+1217=6^4, etc.
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MATHEMATICA
| a=2; s={a}; Do[p=n^4-a; If[p>a&&PrimeQ[p], AppendTo[s, p]; a=p], {n, 2, 3000}]; s
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PROG
| (PARI) print1(s=a=2); for(n=1, 99, until(isprime(s++^4-a), ); print1(", "a=s^4-a)) [M. F. Hasler, Oct 03 2010]
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CROSSREFS
| Cf. A062064, A062066.
Sequence in context: A197101 A166052 A045484 * A060051 A100421 A195000
Adjacent sequences: A113149 A113150 A113151 * A113153 A113154 A113155
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KEYWORD
| nonn
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AUTHOR
| Zak Seidov (zakseidov(AT)yahoo.com), Jan 04 2006
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EXTENSIONS
| Edited by Zak Seidov (zakseidov(AT)yahoo.com), Sep 28 2010, Oct 03 2010
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