Template:Sequence of the Day for January 27

Intended for: January 27, 2013

Timetable

• First draft entered by Alonso del Arte on January 8, 2012 ✓
• Draft reviewed by Daniel Forgues on January 26, 2016 ✓
• Draft to be approved by December 27, 2011

Yesterday's SOTD * Tomorrow's SOTD

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A078437: Decimal expansion of the sum of the alternating series of reciprocals of the primes.

0.26960635...

Is the number

∞ ∑   i  = 1   ( −1 ) i  +1 1  pi   =  1 2 − 1 3 + 1 5 − 1 7 + 1 11 − 1 13 + 1 17 − 1 19 + ⋯

irrational? Transcendental?