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A357969
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Decimal expansion of the constant Sum_{j>=0} j!/prime(j)#, where prime(j)# indicates the j-th primorial number.
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1
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2, 2, 4, 0, 0, 5, 3, 6, 5, 2, 6, 8, 9, 0, 5, 0, 1, 1, 0, 2, 5, 7, 2, 0, 6, 4, 2, 7, 6, 2, 5, 8, 0, 9, 4, 4, 3, 9, 1, 8, 3, 9, 3, 1, 4, 3, 0, 1, 5, 9, 5, 5, 4, 6, 6, 8, 3, 6, 4, 6, 9, 9, 5, 9, 2, 3, 3, 9, 8, 6, 1, 3, 6, 6, 8, 6, 6, 7, 4, 6, 0, 1, 9, 4, 6, 5, 7
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OFFSET
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1,1
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LINKS
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FORMULA
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EXAMPLE
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2.240053652689050110257...
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MATHEMATICA
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primorial[n_?Positive] := Product[Prime[i], {i, 1, n}];
1+Sum[i!/primorial[i], {i, 1, 1000}]
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PROG
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(PARI) suminf(k=0, k!/prod(j=1, k, prime(j))) \\ Michel Marcus, Oct 24 2022
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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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