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A050217
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Super-Poulet numbers: Poulet numbers whose divisors d all satisfy d|2^d-2.
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6
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341, 1387, 2047, 2701, 3277, 4033, 4369, 4681, 5461, 7957, 8321, 10261, 13747, 14491, 15709, 18721, 19951, 23377, 31417, 31609, 31621, 35333, 42799, 49141, 49981, 60701, 60787, 65077, 65281, 80581, 83333, 85489, 88357, 90751
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OFFSET
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1,1
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COMMENTS
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Every semiprime in A001567 is in this sequence (see Sierpinski). a(61)=294409 is the first term having more than two prime factors. See A178997 for super-Poulet numbers having more than two prime factors. [T. D. Noe, Jan 11, 2011]
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REFERENCES
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W. Sierpinski, Elementary Theory of Numbers, Warszawa, 1964, p. 231.
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..1000
Eric Weisstein's World of Mathematics, Super-Poulet Numbers
Wikipedia, Super-Poulet number
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MATHEMATICA
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Select[Range[1, 110000, 2], !PrimeQ[#] && Union[PowerMod[2, Rest[Divisors[#]], #]] == {2} & ]
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CROSSREFS
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A214305 is a subsequence.
Cf. A001567.
Sequence in context: A083876 A068216 A038473 * A214305 A086837 A020230
Adjacent sequences: A050214 A050215 A050216 * A050218 A050219 A050220
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KEYWORD
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nonn
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AUTHOR
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Eric W. Weisstein
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STATUS
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approved
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