sum of 1/A007504(n)

[Simon Plouffe]

Hello, here are the latest results.

1.0234763205449071151695629254011 after reaching
the 30244000'th prime.

Here is a trace of the last computation

  Sum                                  term             index
=============================================================
1.0234763205433771485177329655746, 8493160443506957, 30231000
1.0234763205434948863081814357548, 8493738372115593, 30232000
1.0234763205436126160876758199314, 8494316321695723, 30233000
1.0234763205437303378570190511747, 8494894291396737, 30234000
1.0234763205438480516170236077605, 8495472281427875, 30235000
1.0234763205439657573684938130720, 8496050292177521, 30236000
1.0234763205440834551122280724106, 8496628324121853, 30237000
1.0234763205442011448490288997553, 8497206376389379, 30238000
1.0234763205443188265797046941143, 8497784448902379, 30239000
1.0234763205444365003050644095177, 8498362541614343, 30240000
1.0234763205445541660259204510602, 8498940654066589, 30241000
1.0234763205446718237430861024454, 8499518786938911, 30242000
1.0234763205447894734573634207349, 8500096940380361, 30243000
1.0234763205449071151695629254011, 8500675113418419, 30244000

again : close to 1/2+Pi/6 but considering that the last
term is of the order of 1/8500675113418419 and the
diff. with the supposed value is ony 1/8166 approx.

I don't see where all this would converge to it.

Simon Plouffe