1871.] Numerical Value of Euler's Constant. 33 



For S 5C0 the sum of the — Bernoulli terms is 



— ■ooooo ooooo 00133 33333 33344 occoo 00008 63960 92825 14227 

 06303 41363 50645 63522 06215 12108 84946 96404 61971 02278 

 38712 72302 



For S 1000 the sum of the + Bernoulli terms is 



+•00000 00833 33333 33333 73015 87301 59487 73448 77428 21067 

 82137 32.165 00876 22580 99464 52882 37182 41954 63931 48991 

 92230 67302 



For S 1000 the sum of the — Bernoulli terms is 



—•ooooo ooooo 00008 33333 33333 37500 ooooo 00210 92796 09323 

 93526 00040 82093 23718 92820 00915 30332 37713 49061 83360 

 48493 88803 



For S 2000 the sum of the -f Bernoulli terms is 



+•00000 00208 33333 33333 33953 37301 58730 89855 02344 88243 

 11403 65711 84320 18015 80288 93393 93977 27188 21088 95868 

 23862 44594 



For S 2000 the sum of the — Bernoulli terms is 



—•ooooo ooooo ooooo 52083 33333 33349 60937 50000 05149 60842 

 10995 59700 64404 23526 83197 86039 81846 60506 95079 95161 

 64799 80365 



For S 5000 the sum of the + Bernoulli terms is 



+•00000 00033 33333 33333 33335 87301 58730 15880 77344 87734 



48909 98210 67821 14787 86482 16512 65337 39 12.5 53345 19304 



37661 22499 



For S 5000 the sum of the — Bernoulli terms is 



—•ooooo ooooo ooooo 01333 33333 33333 344°° ooooo oooco 08639 

 60927 96095 70104 02470 73465 66314 96500 75868 11665 04160 

 31880 36102 



For S 10)000 the sum of the + Bernoulli terms is 



+•00000 00008 33333 33333 33333 37301 58730 15873 02344 87734 

 48773 45710 67821 06782 13732 16500 84808 26100 49665 77626 

 52262 19358 



For S 10>000 the sum of the — Bernoulli terms is 



—•ooooo ooooo ooooo 00083 33333 33333 33337 500C0 oooco cocci 

 10927 96092 79613 71220 73188 24992 34000 15344 13659 87023 

 61119 37034 



Suppose ?i, in the harmonic series, 1 followed by 1 000 ciphers ; then, 

 YOL. xx. n 



