carm10e22.gz is a compressed text file containing carmichael numbers up to 10^22. Below is the first and last 10 lines of the text file: C 561 3 11 17 C 1105 5 13 17 C 1729 7 13 19 C 2465 5 17 29 C 2821 7 13 31 C 6601 7 23 41 C 8911 7 19 67 C 10585 5 29 73 CS 15841 7 31 73 CS 29341 13 37 61 ... C 9999994188725658047701 43 47 67 101 211 461 811 1151 8053 C 9999995096829522133441 313 577 3361 7309 9829 229321 C 9999996322479194354401 13 17 89 101 127 191 601 7867 43891 C 9999996815931661566721 19 29 37 41 61 181 211 241 1153 18481 C 9999997233179083673401 61 103 181 397 521 1801 3301 7151 C 9999997290260049801961 37 47 89 199 373 1303 2521 264991 C 9999998256051933696001 41 137 379 401 409 541 2551 20753 C 9999998329596294277441 79 271 937 1297 2521 3361 45361 C 9999999606638779713361 31 43 71 463 1307 130411 1338877 C 9999999972168827821201 199 421 433 521 3571 8893 16661 C indicates a carmichael number, D would indicate a lucas-carmichael number and W a wieferich number. S indicates a strong pseudoprime to base 2. Here is a tally of the number of carmichael numbers up to 10^22: # tot 2 3 4 5 6 7 8 9 10 11 12 13 3 1 0 1 0 0 0 0 0 0 0 0 0 0 4 7 0 7 0 0 0 0 0 0 0 0 0 0 5 16 0 12 4 0 0 0 0 0 0 0 0 0 6 43 0 23 19 1 0 0 0 0 0 0 0 0 7 105 0 47 55 3 0 0 0 0 0 0 0 0 8 255 0 84 144 27 0 0 0 0 0 0 0 0 9 646 0 172 314 146 14 0 0 0 0 0 0 0 10 1547 0 335 619 492 99 2 0 0 0 0 0 0 11 3605 0 590 1179 1336 459 41 0 0 0 0 0 0 12 8241 0 1000 2102 3156 1714 262 7 0 0 0 0 0 13 19279 0 1858 3639 7082 5270 1340 89 1 0 0 0 0 14 44706 0 3284 6042 14938 14401 5359 655 27 0 0 0 0 15 105212 0 6083 9938 29282 36907 19210 3622 170 0 0 0 0 16 246683 0 10816 16202 55012 86696 60150 16348 1436 23 0 0 0 17 585355 0 19539 25758 100707 194306 172234 63635 8835 340 1 0 0 18 1401644 0 35586 40685 178063 414660 460553 223997 44993 3058 49 0 0 19 3381806 0 65309 63343 306310 849564 1159167 720406 196391 20738 576 2 0 20 8220777 0 120625 98253 514381 1681744 2774702 2148017 762963 114232 5804 56 0 21 20138200 0 224763 151566 846627 3230120 6363475 6015901 2714473 547528 42764 983 0 22 49679870 0 420658 232742 1370257 6034046 14056367 16005646 8939435 2347828 262818 10018 55 Claude Goutier (C) 2024.