sum of 1/A007504(n)

[Simon Plouffe]

Hello,

after the 13,000,000 'th term of the series,
I get this result :

            Sum                       partial sum of
                                      primes           term
=============================================================
1.0234763156913078266875152641878, 1494798343898571, 13000000
1.0234763156919767601887037517480, 1495035240843025, 13001000
1.0234763156926455876976112249582, 1495272157173129, 13002000
1.0234763156933143092391753253787, 1495509092642519, 13003000
1.0234763156939829248385627631235, 1495746046570985, 13004000
1.0234763156946514345210259442632, 1495983019405729, 13005000
1.0234763156953198383115055759115, 1496220011794915, 13006000
1.0234763156959881362348660517284, 1496457023469417, 13007000
1.0234763156966563283160304431163, 1496694054426137, 13008000
1.0234763156973244145798829253321, 1496931104598837, 13009000
1.0234763156979923950514955085246, 1497168173688099, 13010000
1.0234763156986602697557212025694, 1497405262559353, 13011000
1.0234763156993280387172890225002, 1497642370846765, 13012000
1.0234763156999957019610196312047, 1497879498478185, 13013000
1.0234763157006632595119235278463, 1498116644882275, 13014000
1.0234763157013307113950169716700, 1498353810466385, 13015000
1.0234763157019980576351558262367, 1498590995293161, 13016000
1.0234763157026652982572363720146, 1498828199372927, 13017000
1.0234763157033324332861101289621, 1499065422481005, 13018000
1.0234763157039994627468141401715, 1499302664519001, 13019000
1.0234763157046663866642171635136, 1499539926002907, 13020000
1.0234763157053332050630375408128, 1499777206920115, 13021000
1.0234763157059999179680014030424, 1500014507341641, 13022000
1.0234763157066665254038999223884, 1500251826980281, 13023000
1.0234763157073330273954879427228, 1500489166119813, 13024000
1.0234763157079994239675823928688, 1500726524105783, 13025000
1.0234763157086657151450463411387, 1500963901769479, 13026000
...
...
1/2+Pi/6 is 1.023598775598298873077107230546583814
I do not think it converges to that value, it is near
but not close enough.

simon plouffe