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Old 2020-11-07, 14:19   #1
Alberico Lepore
 
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May 2017
ITALY

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hey @CRGreathouse here is your log y

if N=p*q & p+q-4 mod 8 = 0 & (q-p+2)/4=y is odd [but ...]


M=(3*N-1)/8

special formula

Z=(2*M-3*y+1)/24



Example

N=507


3*(((2*190-3*y+1)/24)+3*x*(x+1)/2)+1=A
,
sqrt(y^2)=2*sqrt(a^2)+1
,
3*(((2*A-3*a+1)/24)+3*x*(x+1)/2)+1=B
,
sqrt(a^2)=2*sqrt(b^2)+1
,
3*(((2*B-3*b+1)/24)+3*x*(x+1)/2)+1=12*x*(x+1)/2+1
,
b=1 || b=-1



q=2*(3*x+1-(x-y+1))+1


https://www.youtube.com/watch?v=8FB9GYkIT3E
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