A343480 Decimal expansion of 9 * Product_{p prime >= 5} (1-3/p)/(1-1/p)^3.

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

Offset: 1

Author

Amiram Eldar, Apr 16 2021

Keywords

• nonn
• cons

Comments

This constant appears in the conjectured asymptotic formulas for A343478 and A343479.

Examples

			5.71649719143844086486026932145270175607859118599135...
		

Links

• Carlos Esparza and Lukas Gehring, Estimating the density of a set of primes with applications to group theory, arXiv:1810.08679 [math.NT], 2018.

Crossrefs

Cf. A271886, A343478, A343479.

Programs

PARI

9 * prodeulerrat((1-3/p)/(1-1/p)^3, 1, 5)

Formula

Equals 2*A271886. - Hugo Pfoertner, Feb 11 2025