14 REPOKT 1877. 



No. No. 



52 2009 64548 C2756 60448 34656 19672 71536 31868 67270 82253 28766 24346 13019 52 



89213 56500 97796 98883-05220 12578 6163 



53 5 66571 70050 S0594 14457 19346 03051 93569 61419 46828 75104 20621 38756 53 



44521 52460 86197 22777 98400-15732 08722 74143 30218 06853 58255 45 J 7' 

 33956 38629 28348 9096 



54 1658 45m 54136 21691 58237 13374 31991 23014 94962 61472 54647 27402 46681 54 



55898 78137 71265 07431 49939-34194 64710 14554 06621 99281 22390 70085 

 52107 53810 46409 53506 23597 84716 13430 57045 61619 57851 96268 05479 

 05077 11801 7726 



55 5 °3 6 88 59950 49237 74192 89421 91518 01548 12442 37426 49032 14141 52565 55 



13225 28310 97674 29893 27917 85387-03227 93148 88010 54018 445 



56 1586 146S2 37658 18636 93634 01572 96643 87827 40978 41277 89638 80472 86451 56 



42973 11365 09885 00683 12009 45121 -13548 91788 87911 58819 34098 02126 

 52653 37138 82257 20559 81379 43001 43005 02013 43888 18084 45°74 70366 

 84676 92234 04955 51287 344 



57 5 '75 6 7 43617 54562 69840 73240 68250 71225 61240 84923 59305 50859 06216 57 



69403 18108 29579 66515 49771 87766 32444-02380 95 



58 1748 S9218 40217 11733 96900 25877 61815 91451 41476 16182 65448 72627 34721 5S 



58762 12289 52384 00153 32666 64382 79521 -05028 24858 75706 21468 92655 

 36723 16384 18079 09604 51977 40112 9943 



59 6 11605 19994 95218 52558 24525 26426 41677 80767 72684 67832 00716 84324 59 



01127 35747 50763 44103 14895 29605 90861 82633-16 



60 2212 27769 12707 83494 22883 2 3456 71293 24455 73185 05498 77801 50566 60 



55269 30277 36635 00257 26591 02528 03139 11549 56836 41706 43950 64162 

 89896 44622 10131 68427 75098 18261 25962 01999 15049 7 



61 8 27227 76798 77096 98542 21062 45998 45957 31204 65051 84335 66283 84S85 61 



29885 84472 02350 07188 81721 85613 01633 96614 27405 -16 



62 3195 89251 11415 70958 35916 34369 18081 48735 26276 67109 91122 73184 50424 62 



31195 31118 14531 48045 43981 20342 28242 29698 20300-03 



On the Calculation of the Sum of the Reciprocals of the First Thousand In- 

 tegers, and on the Value of Eulers Constant to 260 Places of Decimals. 

 Bxj Professor J. C. Adams, M.A., F.B.S. 



If S tt denote the sum of the harmonic series 



n being an integer, and if R n denote the value, defined in the usual way, of the 

 semi-convergent series 



where B„ B 2 , B^, &c. are the numbers of Bernoulli, then the value of Euler's con- 

 stant E is given approximately by 



E=S> -log c n-i-+R„. 



oe 



in 



