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Search: id:A111296
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| A111296 |
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Smallest prime of the form n*k +1, where each k may be used in the sequence only once. |
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+0
2
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| 2, 5, 13, 13, 31, 31, 71, 73, 73, 71, 199, 157, 157, 197, 241, 241, 409, 199, 419, 401, 547, 419, 691, 409, 701, 547, 919, 701, 929, 691, 1117, 929, 1321, 919, 1471, 1117, 1777, 1483, 1483, 1321, 2297, 1471, 1979, 2069, 2251, 1979, 2069, 1777, 2549, 2251
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(10) = 10*13 +1 = 131 though 10*10 +1 = 101 is also prime but k=10 has aready been used by n=7.
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MATHEMATICA
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l = {}; Do[k = 1; While[MemberQ[l, k] || !PrimeQ[n*k + 1], k++ ]; Print[n*k+1]; AppendTo[l, k], {n, 30}] - Ryan Propper (rpropper(AT)stanford.edu), Jun 15 2006
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CROSSREFS
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Cf. A087559.
Sequence in context: A166134 A067365 A112838 this_sequence A089728 A127987 A049476
Adjacent sequences: A111293 A111294 A111295 this_sequence A111297 A111298 A111299
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 11 2005
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EXTENSIONS
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Corrected and extended by Ryan Propper (rpropper(AT)stanford.edu), Jun 15 2006
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 20 2007
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