56] NOTE ON THE VALUE OF EULER'S CONSTANT, ETC. 465 



50 



In these calculations the value of log - - has been determined with less 



126 

 accuracy than that of log , and therefore the value of log 7 found by 



means of the latter quantity has been preferred. 



If now in the formula which gives Euler's constant we take n = 500, 

 we find the following results : 



-=o-ooi 



2n 



R m = -00000 03333 33200 00025 39671.87309 34479 09501 49853 06920 



81561 41982 03143 98353 10049 47690 35814 25947 82825 73530 



80967 33251 23444 83365 27221 32891 79715 39888 78668 70158 



11997 43277 84264 18919 84678 56672 58294 26067 37401 94207 



08483 64907 04495 03811 66583 11699 18899 16275 81704 82573 



08004 99446 91635 



S^ 679282 34299 90524 60298 92871 45367 97369 48198 13814 39677 



91166 43088 89685 43566 23790 55049 24576 49403 73586 56039 



17565 98584 37506 59282 23134 68847 97117 15030 24984 83148 



07266 84437 10123 70203 14772 22094 00570 47964 42959 21001 



09719 01932 14586 27077 01576 02007 28842 06850 09735 01135 

 74118 52998 6631 



Log, 500 = 



6-21460 80984 22191 74263 67422 42594 91605 47278 04331 52606 

 36739 79303 69340 93242 07062 36272 51021 28288 27237 62074 

 83901 87110 62880 60166 54305 61594 90289 71296 61913 55661 

 26910 65179 94054 14829 26073 41092 64585 48079 22114 05716 

 58115 31635 24264 74180 14925 98528 81625 94504 71489 68628 

 97329 77937 00975 



E= -57721 56649 01532 86060 65120 90082 40243 10421 59335 93992 



35988 05767 23488 48677 26777 66467 09369 47063 29174 67495 



14631 44724 98070 82480 96050 40144 86542 83622 41739 97644 



92353 62535 00333 74293 73377 37673 94279 25952 58247 09491 



60087 35203 94816 56708 53233 15177 66115 28621 19950 15079 



84793 74508 5697 



A. 59 



