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A339203
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Decimal expansion of the generating constant for the exponents of the Mersenne primes.
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1
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2, 9, 3, 0, 0, 9, 4, 4, 4, 7, 2, 6, 8, 7, 9, 5, 7, 3, 6, 6, 7, 7, 9, 5, 2, 1, 8, 6, 9, 9, 0, 4, 3, 5, 7, 8, 5, 0, 5, 7, 6, 0, 1, 1, 6, 7, 1, 7, 9, 9, 9, 6, 4, 4, 3, 2, 3, 5, 0, 4, 4, 8, 1, 8, 2, 6, 8, 7, 4, 4, 4, 1, 7, 8, 3, 5, 9, 9, 4, 1, 0, 7, 8, 3, 2, 5, 8, 7
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OFFSET
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1,1
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COMMENTS
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Inspired by the prime generating constant A249270, but here for the exponents of the Mersenne primes, A000043(n).
The producing function is given by f' = floor(f)*(f-floor(f)+1), starting with this constant, f' denoting the next f, and floor(f) being the next term of the sequence being produced by this constant.
Note that this constant is useless in trying to predict the next Mersenne prime exponent. A new known next Mersenne prime exponent will only enable us to calculate this constant more precisely.
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LINKS
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FORMULA
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EXAMPLE
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2.93009444726879573667795218699043578505760116717999...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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