A342714 Decimal expansion of infinite sum of reciprocals of lesser twin primes, Sum_{n>=1} 1/A001359(n).

1, 0, 5, 9, 0, 6, 4, 2, 6

Offset

1,3

Comments

Alternative definition: infinite sum of reciprocals of primes whose distance to the next prime is equal to 2.

R. J. Mathar gave an estimate of 1.059064 for this constant in a comment at A209328. Dimitris Valianatos estimated the constant as 1.059064266555685... in a comment at A306539.

Links

Table of n, a(n) for n=1..9.

Formula

Equals 1/3 + 1/5 + 1/11 + 1/17 + 1/29 + 1/41 + 1/59 + ...

Equals (A065421 + A306539)/2.

Example

Equals 1.05906426...

Crossrefs

Cf. A006512, A065421, A077800, A160910, A209328, A209329, A306539.

Sequence in context: A193017 A277651 A096789 * A261623 A298515 A306778

Adjacent sequences: A342711 A342712 A342713 * A342715 A342716 A342717

Keyword

nonn,cons,more

Author

Artur Jasinski, Mar 19 2021

Status

approved