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A172192
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Numbers n such that n^6-(n+1)^5 is prime.
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0
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4, 9, 10, 12, 14, 19, 29, 46, 57, 59, 66, 71, 72, 84, 85, 90, 95, 96, 97, 114, 119, 122, 155, 157, 190, 191, 204, 207, 212, 221, 222, 244, 251, 256, 276, 285, 286, 289, 294, 300, 301, 307, 319, 320, 337, 344, 355, 359, 380, 382, 392, 400, 411, 422, 426, 441, 451
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OFFSET
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1,1
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COMMENTS
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Corresponding primes are in A171771. Negative values of primes are obtained for 1 and 2.
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LINKS
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EXAMPLE
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4^6-(4+1)^5 = 971 is prime, so 4 is in the sequence.
5^6-(5+1)^5 = 7849 = 47*167 is composite, so 5 is not in the sequence.
9^6-(9+1)^5 = 431441 is prime, so 9 is in the sequence.
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MATHEMATICA
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Select[Range[3, 500], PrimeQ[#^6-(#+1)^5]&] (* Harvey P. Dale, Apr 25 2011 *)
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PROG
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(Magma) [ n: n in [1..460] | IsPrime(p) and p gt 0 where p is n^6-(n+1)^5 ];
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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Ulrich Krug (leuchtfeuer37(AT)gmx.de), Jan 29 2010
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EXTENSIONS
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Edited, extended, non-specific references removed and MAGMA program added by Associate Editors OEIS, Mar 05 2010
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STATUS
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approved
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