Let both the series a 1 , a 2 , a 3 , … a_1, a_2, a_3, \dots a 1 , a 2 , a 3 , … and b 1 , b 2 , b 3 , … b_1, b_2, b_3, \dots b 1 , b 2 , b ...
Question
Let both the series
and
be in arithmetic progression such that the common differences of both the series are prime numbers. If
,
, and
, then
equals