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A183075
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Numbers of the form 2^k - 1 for which each prime divisor has the form 4j + 3.
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8
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1, 3, 7, 31, 63, 127, 1023, 8191, 16383, 32767, 131071, 524287, 67108863, 1073741823, 2147483647, 17179869183, 274877906943, 8796093022207, 2251799813685247, 2305843009213693951
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OFFSET
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1,2
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COMMENTS
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The Mersenne primes (A000668) are contained in this sequence.
Needed factorizations are in the Cunningham Project.
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LINKS
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FORMULA
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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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KEYWORD
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nonn,hard
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AUTHOR
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STATUS
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approved
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