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A346173
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Decimal expansion of Sum_{k>=1} prime(k)/2^prime(k).
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2
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1, 0, 9, 3, 0, 6, 4, 2, 5, 7, 7, 0, 2, 5, 0, 7, 1, 6, 5, 4, 0, 2, 5, 8, 5, 9, 5, 2, 6, 9, 6, 7, 6, 3, 6, 8, 2, 9, 5, 5, 4, 7, 5, 9, 6, 5, 4, 0, 1, 2, 1, 5, 0, 6, 4, 0, 2, 7, 7, 2, 0, 3, 3, 5, 3, 0, 1, 2, 2, 4, 7, 5, 8, 8, 1, 4, 8, 9, 0, 0, 5, 8, 2, 5, 4, 0, 1, 1, 1, 2, 9, 8, 3, 4, 5, 7, 5, 4, 7, 6
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OFFSET
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1,3
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COMMENTS
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This constant is irrational (Hančl and Tijdeman, 2004).
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LINKS
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FORMULA
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1.09306425770250716540258595269676368295547596540121...
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MATHEMATICA
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RealDigits[Sum[Prime[n]/2^Prime[n], {n, 1, 100}], 10, 100][[1]]
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PROG
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(PARI) suminf(k=1, prime(k)/2^prime(k)) \\ Michel Marcus, Jul 09 2021
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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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