A392411 - OEIS

%I #20 Jan 23 2026 14:20:27

%S 6,1,4,1,9,6,8,7,0,3,7,1,0,1,9,5,8,2,5,8,4,7,0,0,7,3,3,4,5,3,5,1,5,8,

%T 5,9,7,6,6,5,9,9,0,2,0,8,6,1,4,3,4,7,5,4,4,8,0,2,6,2,7,7,1,5,2,2,7,4,

%U 5,2,0,9,3,0,4,0,6,9,9,2,6,6,0,7,3,4,6,3,3,1,3,2,3,5,7,7,5,0,5,6

%N Decimal expansion of Sum_{p prime} gamma^p, where gamma is the Euler-Mascheroni constant.

%C This can be seen as the evaluation of the prime generating function P(x) = Sum x^p at x = gamma.

%C Compare with the geometric series Sum_{n>=1} gamma^n = gamma/(1-gamma) = A346525.

%e 0.61419687...

%o (PARI) suminf(k=1, Euler^prime(k)) \\ _Michel Marcus_, Jan 17 2026

%Y Cf. A000040, A001620, A346525.

%Y Cf. A051006, A132800, A132806, A132797.

%K cons,nonn

%O 0,1

%A _Thaddanai Ratudom_, Jan 10 2026