A392411 Decimal expansion of Sum_{p prime} gamma^p, where gamma is the Euler-Mascheroni constant.

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, 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, 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

Offset

0,1

Comments

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

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

Links

Table of n, a(n) for n=0..99.

Example

0.61419687...

Prog

(PARI) suminf(k=1, Euler^prime(k)) \\ Michel Marcus, Jan 17 2026

Crossrefs

Cf. A000040, A001620, A346525.

Cf. A051006, A132800, A132806, A132797.

Sequence in context: A354857 A371348 A358981 * A160199 A178646 A144540

Adjacent sequences: A392408 A392409 A392410 * A392412 A392413 A392414

Keyword

cons,nonn

Author

Thaddanai Ratudom, Jan 10 2026

Status

approved