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A336943
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Least prime factor of 44745755^4 + 2^(4n+2).
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2
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797, 37, 13, 113, 29, 13, 73, 2593, 13, 41, 37, 13, 509, 57881, 13, 73, 293, 13, 29, 37, 13, 7555049, 53, 13, 41, 29, 13, 677, 37, 13, 8557781, 113, 13, 73, 41, 13, 397, 37, 13, 29, 1217, 13, 73, 9820301, 13, 113, 29, 13, 53, 41, 13, 73, 113, 13, 41, 37, 13
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OFFSET
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0,1
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COMMENTS
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k = 44745755^4 has the property that k + 2^m is composite for all m. However, it is conjectured that this sequence is unbounded. This is the case if and only if A336347 is unbounded; because a full covering set for k*2^m + 1 would also be a full covering for k + 2^m, and vice versa.
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LINKS
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PROG
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(PARI) a(n) = vecmin(factor(44745755^4+2^(4*n+2))[, 1]); \\ Michel Marcus, Aug 08 2020
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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