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A345974
Decimal expansion of Sum_{k>=0} Product_{i=1..k} 1/(prime(i)-1)
1
2, 6, 4, 8, 1, 0, 1, 7, 5, 9, 7, 0, 1, 4, 7, 1, 0, 2, 3, 3, 7, 0, 8, 8, 4, 1, 4, 5, 3, 6, 0, 6, 4, 7, 1, 4, 9, 2, 7, 2, 5, 8, 7, 0, 0, 2, 1, 4, 0, 3, 3, 9, 3, 2, 0, 7, 6, 7, 4, 4, 5, 4, 7, 9, 2, 5, 2, 7, 4, 0, 4, 6, 1, 6, 2, 6, 4, 2, 4, 7, 5, 8, 9, 3, 8, 1, 7, 0, 0, 7, 6, 8, 2, 8, 7, 3, 2, 0, 8, 1, 0, 9, 5
OFFSET
1,1
LINKS
Peter Cameron, A new constant?, Blog Post, May 23 2021.
Peter Cameron, A new constant?, local copy of Blog Post, with permission.
EXAMPLE
2.64810175970147102337088414536064714927258700214033932076744547925274...
MAPLE
c:= sum(product(1/(ithprime(i)-1), i=1..k), k=0..infinity):
evalf(c, 140); # Alois P. Heinz, Jun 30 2021
PROG
(PARI) suminf(k=0, prod(i=1, k, 1/(prime(i)-1)))
CROSSREFS
Cf. A345965.
Sequence in context: A296348 A088438 A259284 * A204906 A097265 A352768
KEYWORD
nonn,cons
AUTHOR
Hugo Pfoertner, Jun 30 2021
STATUS
approved