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A027830
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Numbers k such that k + (k+1)^2 + (k+2)^3 + (k+3)^4 + (k+4)^5 is prime.
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0
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1, 7, 11, 25, 35, 43, 45, 47, 51, 53, 57, 63, 65, 81, 91, 103, 113, 117, 121, 143, 149, 169, 173, 191, 193, 199, 201, 211, 213, 225, 235, 247, 253, 255, 263, 269, 299, 331, 333, 355, 357, 359, 373, 385, 387, 395, 399, 403, 411, 445, 453, 495, 519, 537, 579, 599
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OFFSET
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1,2
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COMMENTS
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Numbers k such that A027622(k) is prime.
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LINKS
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EXAMPLE
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k=1: k + (k+1)^2 + (k+2)^3 + (k+3)^4 + (k+4)^5 = 3413 = A027886(1),
k=7: k + (k+1)^2 + (k+2)^3 + (k+3)^4 + (k+4)^5 = 171851 = A027886(2),
k=11: k + (k+1)^2 + (k+2)^3 + (k+3)^4 + (k+4)^5 = 800143 = A027886(3).
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MATHEMATICA
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With[{c=Total[Table[(#+i)^(i+1), {i, 0, 4}]]}, Select[Range[600], PrimeQ[c]&]] (* Harvey P. Dale, May 07 2012 *)
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PROG
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(Magma) [n: n in [0..1000] |IsPrime(n+(n+1)^2+(n+2)^3+(n+3)^4+(n+4)^5)]; // Vincenzo Librandi, Nov 20 2010
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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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EXTENSIONS
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STATUS
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approved
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