56] NOTE ON THE VALUE OF EULER'S CONSTANT, ETC. 461 



may be taken from Gauss' Table, in the second volume of his collected 

 works, or calculated independently. 



Thus I have found that : 



= 249 2 3 120 3 86^ 205 58 J_ _3_ 21 30 11 



600 256 81 5 343 121 169 289 361 23 29 31 37 41 



,15 ,26 ,2 24 33 27 67 28 38 73 72 33 61 



' j o ' t Yj T j- -, r -. .-, I /> i I .- ^ t ^7 -i 1 ^ (- I f-y f-> I ,-> ;- I f-i ,--. 1 .-, __ I 



43 47 53 59 61 67 71 73 79 83 89 97 101 

 Jl5_ .11 , 102 , _68_ j23_ Ul H6 j25_ 126 27_ 28 



103 107 109 113 127 131 137 139 149 151 157 



29 j^5_ _8_8_ _91_ _92_ 97_ 98_ 100 101 107 113 

 h T63 + 167 + l73 + 179 + "181 + 191 + 193 + 197 + 199 + 211 + 223 



U5 U6 1J_8 121 122 

 227 229 233 239 241 



+ (the sum of the reciprocals of the primes from 251 to 499) 19. 



Similarly I have found that : 



249 3JO 181 75_ 62_ 35_ 220 JJ_ 300 726 J32_ 34 

 ~5l^ + 7 r 29 + 625 + 343 + 121 169 289 361 529 841 961 37 



21 10 40 48 28 56 7 31 40 . 45 . 25 49 44 



69 82 90 104 12_ QT_ 84_ 12_1 _85_ 14_4 



__ 



101 H)3 107 109 113 127 131 137 139 149 151 



26 141 JB3_ _3 _53_ 132 171 102 196 125 90 



h 157 + 163 + 167 + 173 + 179 + 181 191 193 197 + 199 211 



95 _21_ 212 138 22_ 223 211 216 221 226 47 



f 223 + 227 + 2^9 + 233 + 239 241 251 257 263 269 271 



48 236 _49_ 246 _53_ 261 54 266 57 170 175 



+ 277 + 281 + 283 + 293 + 307 311 313 317 331 337 347 



176 178 181 185 188 191 193 , 196 200 202 206 



+ 349 + 353 + 359 + 367 + 3^3 + 379 383 389 397 401 409 



211 212 217 218 221 223 226 230 232 233 235 



467 



241 245 247 251 

 f 479 + 487 491 499 



+ (the sum of the reciprocals of the primes from 503 to 997). -43. 



