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A331374
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Decimal expansion of Sum_{p prime} 1/(2^(p^2) - 1).
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0
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6, 8, 6, 2, 3, 6, 4, 3, 6, 3, 1, 4, 1, 8, 3, 3, 3, 3, 7, 8, 6, 7, 3, 7, 3, 8, 7, 8, 2, 8, 5, 6, 8, 4, 7, 6, 2, 0, 6, 5, 3, 5, 9, 5, 7, 3, 5, 0, 4, 5, 7, 0, 4, 6, 8, 5, 9, 4, 4, 2, 9, 5, 0, 4, 8, 5, 0, 2, 0, 5, 7, 1, 0, 4, 7, 0, 2, 4, 8, 9, 9, 0, 5, 8, 4, 4, 9
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OFFSET
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-1,1
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COMMENTS
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This constant is irrational. Its irrationality is a consequence of a more general theorem proved by Erdős (1969).
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LINKS
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EXAMPLE
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0.06862364363141833337867373878285684762065359573504...
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MATHEMATICA
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RealDigits[Sum[1/(2^(Prime[k]^2) - 1), {k, 1, 100}], 10, 100][[1]]
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PROG
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(PARI) suminf(k=1, 1/(2^prime(k)^2-1)) \\ Michel Marcus, May 03 2020
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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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