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Search: id:A102327
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| A102327 |
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Primes p such that the largest prime divisor of p^5+1 is less than p. |
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+0
1
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| 1753, 2357, 7103, 9749, 13441, 16453, 21467, 22739, 25153, 28409, 29059, 33247, 33347, 36781, 42853, 51427, 57751, 58453, 62347, 65777, 66593, 69119, 72923, 78643, 80407, 83591, 85619, 89909, 91411, 99409, 101209, 101363, 113171, 124337
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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Solutions to {A006530[1+p^5]<p} where p is prime number.
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EXAMPLE
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p = 1753, 1+p^5 = 16554252702583994 = 2.41.151.691.877.1361.1621, so the largest prime factor is 1621 < p = 1753.
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MATHEMATICA
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<<NumberTheory`NumberTheoryFunctions` Select[Prime[Range[15000]], Max[PrimeFactorList[1 + #^5]] < # &] (Ray Chandler, Jan 08 2005)
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CROSSREFS
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Cf. A000040, A065091, A073501.
Sequence in context: A107525 A090837 A038010 this_sequence A076809 A043436 A119406
Adjacent sequences: A102324 A102325 A102326 this_sequence A102328 A102329 A102330
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jan 05 2005
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 08 2005
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