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A183076
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Composite numbers of the form 2^k - 1 for which each prime divisor has the form 4j + 3.
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7
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63, 1023, 16383, 32767, 67108863, 1073741823, 17179869183, 274877906943, 8796093022207, 2251799813685247, 4611686018427387903, 36893488147419103231
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OFFSET
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1,1
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COMMENTS
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Needed factorizations are in the Cunningham Project.
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LINKS
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Table of n, a(n) for n=1..12.
S. S. Wagstaff, Jr., The Cunningham Project.
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FORMULA
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a(n) = 2^A183072(n) - 1
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EXAMPLE
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63 = 2^6 - 1 = 3^2 * 7, and 3 and 7 have the form 4j + 3.
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CROSSREFS
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Cf. A000668, A136005, A183075, A183077, A183078
Cf. A000043, A136003, A183071, A183072, A183073, A183074
Sequence in context: A201886 A091027 A112494 * A132465 A202983 A107319
Adjacent sequences: A183073 A183074 A183075 * A183077 A183078 A183079
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KEYWORD
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nonn,hard
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AUTHOR
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Stuart Clary, Dec 23, 2010
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STATUS
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approved
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