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A109216
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Smallest factor of 2^(2n+1)+(2n+1)^2.
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2
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3, 17, 3, 3, 593, 3, 3, 32993, 3, 3, 2097593, 3, 3, 73, 3, 3, 8589935681, 3, 3, 17, 3, 3, 11, 3, 3, 83, 3, 3, 11, 3, 3, 17, 3, 3, 857, 3, 3, 71329, 3, 3, 59, 3, 3, 19, 3, 3, 11, 3, 3, 17, 3, 3, 4561633, 3, 3, 2940725100673, 3, 3, 193, 3, 3, 1867, 3, 3, 17, 3, 3, 44449, 3, 3, 19, 3, 3
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OFFSET
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0,1
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COMMENTS
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For n={0, 1, 4, 7, 10, 16, 1003, 1063, 1879, 14677, 17326, 28642, 49534} we have the only primes of the form 2^(2n+1)+(2n+1)^2: A064539. Cases 2n+1 == 1, 2 (mod 3) are trivial and may be omitted.
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LINKS
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MATHEMATICA
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Table[ With[ {k=2}, FactorInteger[ n^k + k^n]] [[1, 1]], {n, 1, 145, 2}]
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CROSSREFS
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KEYWORD
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base,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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