A136368 Numerator of Sum_{k=1..n} (-1)^(k+1)/prime(k)^2.

1, 5, 161, 6989, 889769, 145034861, 42816875729, 15196271678069, 8132911703794601, 6790008314246422541, 6567054920481119894801, 8950073675937467308565669, 15100141203716305943432625689

Offset: 1

Author

Alexander Adamchuk, Dec 27 2007

Keywords

• nonn
• frac

Crossrefs

Cf. A136369, A136365, A136366, A024530, A136370, A136371.

Programs

Magma

[Numerator(&+[(-1)^(k+1)/NthPrime(k)^2:k in [1..n]]): n in [1..13]]; // Marius A. Burtea, Aug 26 2019

Mathematica

Table[Numerator[Sum[(-1)^(k+1)/Prime[k]^2, {k, 1, n}]], {n, 1, 20}]