A265825 Continued fraction expansion of the prime zeta function at 4.

0, 12, 1, 83, 1, 1, 7, 3, 9, 1, 23, 1, 4, 1, 1, 5, 1, 2, 17, 1, 1, 3, 1, 16, 3, 2, 1, 10, 5, 89, 1, 1, 1, 4, 3, 2, 3, 1, 2, 2, 3, 3, 3, 13, 1, 3, 1, 5, 1, 56, 1, 2, 8, 1, 19, 1, 22, 5, 5, 3, 72, 1, 2, 1, 1, 11, 2, 8, 1, 2, 2, 1, 7, 2, 6, 3, 3, 3, 6, 2, 3, 7, 1

Offset: 0

Author

Ilya Gutkovskiy, Dec 16 2015

Keywords

• nonn
• cofr

Comments

Continued fraction of Sum_{n>=1} 1/prime(n)^4 = 0.0769931397642468449426...

Examples

			1/2^4 + 1/3^4 + 1/5^4 +1/7^4 + 1/11^4 + 1/13^4 +... = 1/(12 + 1/(1 + 1/(83 + 1/(1 + 1/(1 + 1/(7 + 1/(3 + 1/(9 + 1/...)))))))).
		

Links

• Eric Weisstein's World of Mathematics, Prime Zeta Function
• Wikipedia, Prime Zeta Function
• Index entries for continued fractions for constants
• Index entries for zeta function

Crossrefs

Cf. A085964, A013680.

Programs

Mathematica

ContinuedFraction[PrimeZetaP[4], 82]