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

Author

Amiram Eldar, May 28 2021

Keywords

• nonn
• cons
• more

Comments

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

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

Examples

			0.7007640115...
		

References

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

Links

• 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.

Crossrefs

Cf. A102742.

Formula

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