4,200,000 
4,300,000 
4,400,000 
4,500,000 
4,600,000 
4,700,000 
4,800,000 
4,900,000 
5,000,000 
5,100,000 
5,200,000 
5,300,000 
5,400,000 
5,500,000 
5,600,000 
5,700,000 
5,800,000 
5,900,000 
6,000,000 
6,100,000 
6,200,000 
6,300,000 
6,400,000 
6,500,000 
6,600,000 
6,700,000 
6,800,000 
6,900,000 
7,000,000 
7,100,000 
7,200,000 
7,300,000 
7,400,000 
7,500,000 
7,600,000 
7,700,000 
7,800,000 
7,900,000 
8,000,000 
8,100,000 
8,200,000 
8,300,000 
8,400,000 
8,500,000 
8,600,000 
8,700,000 
8,800,000 
8,900,000 
9,000,000 
ON MATHEMATICAL TABLES. 
TABLE I. (continued). 
121 
Number of Primes 
Calculated by 
Counted 
Riemann’s Tchebycheft’s Legendre’s 
formula formula formula 
296,314 296,311 296,487 296,465 
302,824 302,861 303,039 303,020 
309,335 309,402 309,582 309,566 
315,948 315,933 316,114 316,102 
322,441 322,454 322,637 322,628 
328,964 328,965 329,150 329,145 
335,439 335,469 335,655 335,653 
341,993 341,963 342,151 342,153 
348,515 348,449 348,638 348,644 
354,973 354,926 355,117 355,126 
361,409 361,395 361,588 361,601 
367,902 367,856 368,050 368,067 
374,364 374,310 374,505 374,525 
380,802 380,755 380,952 380,976 
387,204 387,193 387,391 387,419 
393,608 393,624 393,823 393,855 
399,995 400,047 400,248 400,284 
406,431 406,463 406,666 406,706 
412,851 412.873 413,077 413,121 
419,248 419,275 419,480 419,528 
425,650 425,671 425,878 425,930 
432,075 432,060 432,268 432,324 
438,412 438,443 438,652 438,712 
444,759 444 819 445,030 445,094 
451,161 451,190 451,401 451,470 
457,499 457,554 457,767 457,839 
463,874 463,912 464,126 464,203 
470,285 470,263 470,479 470,560 
476,650 476,610 476,827 476,912 
483,019 482,950 483,169 483,258 
489,325 489,285 489,505 489,598 
495,673 495,615 495,835 495,933 
501,972 501,938 502,160 502,263 
508,273 508,257 508,480 508,587 
514,578 514,570 514,794 514,905 
520,925 520,878 521,103 521,219 
527,170 527,180 527,407 527,527 
533,534 533,478 533,706 533,830 
539,808 539,771 540,000 540,128 
546,058 546.058 546,289 546,422 
552,359 552,341 552,573 552,710 
558,642 558,619 558,852 558,994 
564,927 564,892 565,126 565,273 
571,172 571,161 571,396 571,547 
577,498 577,425 577,661 577,817 
583,779 583,684 583,921 584,082 
590,078 589,939 590,178 590,342 
596,298 596,190 596,429 596,599 
602,568 602,436 602,676 602,850 
