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Old 2021-07-29, 19:25   #9
Alberico Lepore
 
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May 2017
ITALY

23·32·7 Posts
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@CRGreathouse I know you don't talk to me anymore but I have achieved an extraordinary result with your number

N=390644893234047643

sqrt(390644893234047643/(15/10))=a
,
(15/10*a+a-4)/8=x
,
2*x*(x+1)-y*(y-1)/2=(390644893234047643-3)/8

->

y=63790420,........




[2*(h)*(h-1)]
<
[(390644893234047643-3)/8+k*(k-1)/2]
<=
[2*(h)*(h+1)]
,
2*(x)*(x+1)-y*(y-1)/2=(390644893234047643-3)/8
,
x-(sqrt(32*x+1)+1)/2 <h<x+(sqrt(32*x+1)+1)/2
,
k=63790420+j*100000

for j=25

see please range h here

https://www.wolframalpha.com/input/?...00000%2Cj%3D25

total cost for factorize N=390644893234047643 is 25*10=250 step
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