Tuesday, December 4, 2012

PRIME NUMBERS by the HUNDRED (to 2000)

This is a list of Primes under 2000.  The decreasing frequency of primes as numbers get larger is there to see, for example 25 primes from 0 to 100, but only 8 from 1500 to 1600

I wonder what is the first interval of 100 with no primes?
Are there any primes between 1811 and 1867? 


row 1 2 101 211 307 401 503 601 701 809 907
2 3 103 223 311 409 509 607 709 811 911
3 5 107 227 313 419 521 613 719 821 919
4 7 109 229 317 421 523 617 727 823 929
5 11 113 233 331 431 541 619 733 827 937
6 13 127 239 337 433 547 631 739 829 941
7 17 131 241 347 439 557 641 743 839 947
8 19 137 251 349 443 563 643 751 853 953
9 23 139 257 353 449 569 647 757 857 967
10 29 149 263 359 457 571 653 761 859 971
11 31 151 269 367 461 577 659 769 863 977
12 37 157 271 373 463 587 661 773 877 983
13 41 163 277 379 467 593 673 787 881 991
14 43 167 281 383 479 599 677 797 883 997
15 47 173 283 389 487 683 887
16 53 179 293 397 491 691
17 59 181 499
18 61 191
19 67 193
20 71 197
21 73 199
22 79
23 83
24 89
25 97























row 1 1009 1103 1201 1301 1427 1511 1601 1709 1801 1901
2 1013 1109 1213 1303 1429 1553 1607 1721 1811 1907
3 1019 1117 1217 1307 1433 1559 1609 1723 1867 1913
4 1021 1123 1223 1319 1439 1567 1613 1733 1871 1931
5 1031 1129 1229 1321 1447 1571 1619 1741 1873 1933
6 1033 1151 1231 1327 1451 1579 1621 1747 1877 1949
7 1039 1153 1237 1361 1453 1583 1627 1753 1879 1951
8 1049 1163 1249 1367 1459 1597 1637 1759 1889 1973
9 1051 1171 1259 1373 1471 1657 1777 1979
10 1061 1181 1277 1481 1697 1783 1987
11 1063 1187 1279 1483 1699 1787
12 1069 1193 1283 1487 1789
13 1087 1289 1489
14 1091 1291 1493
15 1093 1297 1499
16 1097
17
18