login
A342714
Decimal expansion of infinite sum of reciprocals of lesser twin primes, Sum_{n>=1} 1/A001359(n).
3
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.
FORMULA
Equals 1/3 + 1/5 + 1/11 + 1/17 + 1/29 + 1/41 + 1/59 + ...
Equals (A065421 + A306539)/2.
EXAMPLE
Equals 1.05906426...
KEYWORD
nonn,cons,more
AUTHOR
Artur Jasinski, Mar 19 2021
STATUS
approved