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Old 2021-07-28, 20:02   #8
Alberico Lepore
 
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May 2017
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use m not 2*m here https://www.academia.edu/50318218/Cr...zation_example

15 digit 3194383
12 digit 63245
9 digit 3195


p= 9 digit

[2*(h-1)*((h-1)+1)]
<
[2500000062500000-1/2 (h - x) (-1 + h - x + 2 y)+2 (h - x) (1 + h + x)]
<=
[2*(h)*(h+1)]
,
2*(x)*(x+1)-y*(y-1)/2=2500000062500000
,
h=62500001

37500000<=x<37503195 -> 3195

p=12 digit

[2*(h-1)*((h-1)+1)]
<
[2500000000062500000000-1/2 (h - x) (-1 + h - x + 2 y)+2 (h - x) (1 + h + x)]
<=
[2*(h)*(h+1)]
,
2*(x)*(x+1)-y*(y-1)/2=2500000000062500000000
,
h=12500000000

37500000000<=<<37500063245 -> 63245

P=15 digit

[2*(h-1)*((h-1)+1)]
<
[2500000000000062500000000000-1/2 (h - x) (-1 + h - x + 2 y)+2 (h - x) (1 + h + x)]
<=
[2*(h)*(h+1)]
,
2*(x)*(x+1)-y*(y-1)/2=2500000000000062500000000000
,
h=62500000000001

37500000000000<=x<37500003194383 -> 3194383
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