A114907 - OEIS

A114907

Decimal expansion of twice the twin primes constant defined in A005597.

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

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OFFSET

1,2

REFERENCES

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 2.1, p. 85.

LINKS

Table of n, a(n) for n=1..102.

Alexei Kourbatov, On the distribution of maximal gaps between primes in residue classes, arXiv:1610.03340 [math.NT], 2016-2018.

Eric Weisstein's World of Mathematics, Twin Primes Constant.

Eric Weisstein's World of Mathematics, Prime Constellation.

FORMULA

Equals 2*A005597 (in the sense of the corresponding decimal numbers).

EXAMPLE

1.320323631693739147855624220...

PROG

(PARI) 2 * prodeulerrat(1-1/(p-1)^2, 1, 3) \\ Amiram Eldar, Mar 16 2021

CROSSREFS