466 NOTE ON THE VALUE OF EULER'S CONSTANT, ETC. [56 

 Again, if in the same formula we take n = 1000, we find the following: 



- = 0-0005 



2n 



#1000= '00000 00833 33325 00000 39682 49801 59487 73237 84632 11743 



88611 32124 18782 98862 06644 51967 06850 04241 14869 65631 



43736 78499 44114 24665 37423 82138 50259 70190 89962 61572 



33894 07843 88131 36054 55889 69002 08034 44545 27898 47738 



31546 74821 27649 54293 18527 10448 88349 55931 43201 82238 

 86978 52223 81562 



1000 = 7-48547 08605 50344 91265 65182 04333 90017 65216 79169 70880 



36657 73626 74995 76993 49165 20244 09599 34437 41184 50813 



96798 01438 22544 03715 81484 21958 84703 40431 40398 43368 



92966 39178 33827 35905 57913 00071 54692 68403 25933 79804 



87809 56515 86955 67800 24804 71415 08712 32350 00711 42865 

 21027 95267 06455 



Log, 1000 = 



6-90775 52789 82137 05205 39743 64053 09262 28033 04465 88631 



89280 99983 70290 27178 29032 05744 07079 91615 26879 48950 



25903 35212 68587 45900 22857 63952 48420 26999 88621 07296 



34506 84487 21624 97666 40425 31399 68447 86995 95585 18051 



59268 96133 19788 65384 90098 66686 30946 59660 23963 10024 

 23212 72982 31056 



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 56961 



It will be seen that the two values found for E agree to 263 places 



of decimals, which supplies another independent verification of the value 

 obtained for log, 2. 



