A345974 Decimal expansion of Sum_{k>=0} Product_{i=1..k} 1/(prime(i)-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

Table of n, a(n) for n=1..103.

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

Adjacent sequences: A345971 A345972 A345973 * A345975 A345976 A345977

Keyword

nonn,cons

Author

Hugo Pfoertner, Jun 30 2021

Status

approved