A253634 Decimal expansion of Sum_{n>=1} 1/A033286(n)^2.

2, 8, 4, 1, 7, 0, 7, 0, 5, 4, 7, 0, 8, 6, 8, 2, 5, 0, 1, 7, 7, 1, 4

Offset: 0

Author

Pierre CAMI, Jan 07 2015

Keywords

• nonn
• cons
• more

Comments

The convergence is very slow, need to use the first 100000000 primes to obtain the correct value of the coefficient of 10^(-23).

The constant is in the interval [0.28417070547086825017714, 0.28417070547086825017743]; these safe limits are computed by accumulating in parallel the partial sum of the lower estimate 1/n^4 = Zeta(4). - R. J. Mathar, Feb 06 2015

Examples

			0.284170705470...
		

Crossrefs

Cf. A033286 (n*prime(n)), A124012.