Template:Sequence of the Day for September 24

Intended for: September 24, 2012

Timetable

• First draft entered by Daniel Forgues on September 23, 2012 ✓
• Draft to be reviewed by July 24, 2012
• Draft to be approved by August 24, 2012

Yesterday's SOTD * Tomorrow's SOTD

The line below marks the end of the <noinclude> ... </noinclude> section.

---

A077761: Decimal expansion of Mertens’ constant (also known as the Hadamard–de la Vallée-Poussin constant), or prime reciprocal constant.*

B1  =  n → ∞limn → ∞     π (n) ∑   i   = 1    1 pi   − log  log n ,

where

π (n)

is the prime counting function and

pi

is the

i

-th prime number.

0.2614972128476427837554...

Today’s SOTD is about the harmonic series of the primes (sum of the reciprocals of the primes), September 26’s SOTD will be about the sum of alternating series of reciprocals of primes.

_______________
* Weisstein, Eric W., Mertens Constant, from MathWorld—A Wolfram Web Resource.