Quote:
Originally Posted by Alberico Lepore
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UPDATE:
I tried to solve in x and I noticed that the first valid value is our x = 159757905
if
it would always happen
the cost of factoring 390644893234047643 would be 7454 * 10 = 74540
Tomorrow morning I will continue with other tests
https://www.wolframalpha.com/input/?...%2F8+%2Ch+%2Cy

unfortunately this is not true.
But x is very close to min_range_x
I tested on a number of 30 digits with p and q of 15 digits and the result is 37
N=188723059539473758658629052963
N=188723059539473758658629052963
,
sqrt(N/(18/10))=a
,
(18/10*a+a4)/8=x
,
2*x*(x+1)b*(b1)/2=(N3)/8
b=64759908643727
h=x(64759908643726)/288973930
,
[2*(h1)*(h1+1)]
<
(1887230595394737586586290529633)/8(64759908643726)/2*(4*x+12*(y1))
<=
[2*h*(h+1)]
,
2*(x)*(x+1)y*(y1)/2=(1887230595394737586586290529633)/8
range x 113364197263548<=x<=113364197263741
size_range 193
distance x 37
x=113364197263585
I need to be able to quantify distance x or size_range_x
total cost [10*my_quantify *88973930] about N ^ (1/3)
It's still a very heavy bruteforce, but I'm happy