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A242800
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Numbers n such that (n^n+3)/(n+3) is an integer.
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4
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1, 3, 4, 5, 9, 13, 17, 21, 25, 37, 41, 45, 49, 57, 65, 73, 77, 89, 109, 113, 117, 121, 145, 151, 161, 169, 185, 205, 209, 233, 237, 241, 261, 265, 277, 281, 289, 313, 329, 337, 353, 361, 385, 401, 409, 425, 433, 449, 481, 489, 505, 517, 521, 545, 553, 586, 593
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OFFSET
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1,2
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LINKS
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EXAMPLE
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(4^4+3)/(4+3) = 259/7 = 37 is an integer. Thus 4 is a member of this sequence.
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PROG
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(PARI) for(n=1, 10^3, s=(n^n+3)/(n+3); if(floor(s)==s, print1(n, ", ")))
(Python)
A242800_list = [n for n in range(10**6) if pow(n, n, n+3) == n] # Chai Wah Wu, Jan 19 2015
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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