1881.] Reciprocals of the Prime Numbers and of their Powers. 9 



Table of the Napierian Logarithms of the Sums of the Powers of the 

 Reciprocals of the Natural Numbers, log e S (oc )"« to 15 Decimal 

 Figures. 



n. log e S(oc)-». 



1 log (log 00 ) 



2 0-49770 03024 70745 



3 0-18403 41753 91491 



4 0-07910 98730 67336 



5 0-03626 22596 49228 



6 0-01719 43876 02658 



7 0-00831 46149 69275 



8 0-00406 90663 07413 



9 0-00200 63787 01528 



10 0-00099 40808 65669 



11 0-00049 40665 33147 



12 0-00024 60562 78979 



13 0-00012 27058 18911 



14 0-00006 12462 59468 



15 0-00003 05877 68496 



16 0-00001 52821 42636 



17 0-00000 76371 68475 



18 0-00000 38172 85979 



19 0-00000 19082 10896 



20 -00000 09539 61579 



21 0-00000 04769 32873 



22 0-00000 02384 50474 



23 0-00000 01192 19919 



24 0-00000 00596 08187 



25 0-00000 00298 03503 



26 ........ 0-00000 00149 01555 



27 0-00000 00074 50712 



28 0-00000 00037 25334 



29 0-00000 00018 62660 



30 0-00000 00009 31327 



31 0-00000 00004 65663 



32 0-00000 00002 32831 



33 0-00000 00001 16416 



34 0-00000 00000 58208 



