A344785 Decimal expansion of the sum of the reciprocals of the elite primes (A102742).

7, 0, 0, 7, 6, 4, 0, 1, 1, 5

Offset

0,1

Comments

Křížek et al. (2002) proved that this series is convergent.

The first 10 terms were given by Finch (2018).

References

Steven R. Finch, Mathematical Constants II, Cambridge University Press, 2018, Section 1.37, p. 247.

Links

Table of n, a(n) for n=0..9.

Steven R. Finch, Fermat Numbers and Elite Primes, preprint, 2013.

Michal Křížek, Florian Luca and Lawrence Somer, On the convergence of series of reciprocals of primes related to the Fermat numbers, J. Number Theory, Vol. 97, No. 1 (2002), pp. 95-112.

Formula

Equals Sum_{k>=1} 1/A102742(k).

Example

0.7007640115...

Crossrefs

Cf. A102742.

Sequence in context: A249119 A154102 A388254 * A390281 A240984 A235363

Adjacent sequences: A344782 A344783 A344784 * A344786 A344787 A344788

Keyword

nonn,cons,more

Author

Amiram Eldar, May 28 2021

Status

approved