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Search: Posts Made By: Alberico Lepore
Forum: Alberico Lepore 2020-11-12, 09:59
Replies: 6
Views: 1,934
Posted By Alberico Lepore
this is the best logarithmic implementation I...

this is the best logarithmic implementation I could think of.
I leave the implementation to you expert programmers


pure logarithm

N=507


3*(((2*190-3*y+1)/24)+3*x*(x+1)/2)+1=A
Forum: Alberico Lepore 2020-11-11, 15:26
Replies: 6
Views: 1,934
Posted By Alberico Lepore
another type of implementation based on the same...

another type of implementation based on the same principle
is this [if I have not made mistakes]



3*(((2*190-3*y+1)/24)+3*x*(x+1)/2)+1=A
,
y=2*[(-1)^((y+1)/2-1)]*a+(-1)^[(-1)^((y+1)/2)]
,...
Forum: Alberico Lepore 2020-11-11, 11:08
Replies: 6
Views: 1,934
Posted By Alberico Lepore
then not to test at any level of log y log y...

then
not to test at any level of log y
log y must be overcome

example

3*(((2*250-3*(1-y)+1)/24)+3*x*(x+1)/2)+1=A
,
sqrt((1-y)^2)=sqrt((2*a-1)^2)
,
Forum: Alberico Lepore 2020-11-08, 15:49
Replies: 6
Views: 1,934
Posted By Alberico Lepore
if I am not wrong this is the demonstration ...

if I am not wrong this is the demonstration

((2*(3*N-1)/8-3*y+1)/24)=x*(x+1)/2-(y+1)/2*(y-1)/2/2
,
p*q=N
,
q=2*(3*x+1-(x-y+1))+1
,
p=2*(3*x+1-(x-y+1))+1-(4*y-2)
,
Forum: Alberico Lepore 2020-11-08, 06:00
Replies: 6
Views: 1,934
Posted By Alberico Lepore
I fixed the bug it should now be correct ...

I fixed the bug

it should now be correct

Example

N=507


3*(((2*190-3*y+1)/24)+3*x*(x+1)/2)+1=A
Forum: Alberico Lepore 2020-11-07, 14:59
Replies: 6
Views: 1,934
Posted By Alberico Lepore
there is a small mistake that makes it all in...

there is a small mistake that makes it all in vain

red - correction
Forum: Alberico Lepore 2020-11-07, 14:19
Replies: 6
Views: 1,934
Posted By Alberico Lepore
the sound of silence

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
Forum: Alberico Lepore 2020-11-05, 08:29
Replies: 6
Views: 1,446
Posted By Alberico Lepore
oʇᴉuᴉℲ oɔoᴉפ - ɹǝʌO ǝɯɐפ

civil disobedience or noncooperation
Forum: Alberico Lepore 2020-11-03, 18:52
Replies: 7
Views: 1,044
Posted By Alberico Lepore
I lowered to O(72 *[Lenstra elliptic-curve...

I lowered to O(72 *[Lenstra elliptic-curve factorization])

case: x odd

N=377

solve (1152 h^2 + 64 h + 6)=x*(x+1)/2
,
2/3*[9*(1152 h^2 + 64 h + 6)+1+sqrt[8*[9*(1152 h^2 + 64 h +...
Forum: Alberico Lepore 2020-11-03, 11:51
Replies: 7
Views: 1,044
Posted By Alberico Lepore
WTF factorization. Do you think it is a good method?

case:

N=p*q
&
q-p=n
&
n mod 8 = 0
&
p+n/2=3*(2*x+1)
Forum: Alberico Lepore 2020-09-20, 21:00
Replies: 22
Views: 4,709
Posted By Alberico Lepore
I believe that global cooperation in every sector...

I believe that global cooperation in every sector is the future.
Forum: Alberico Lepore 2020-09-20, 09:11
Replies: 22
Views: 4,709
Posted By Alberico Lepore
Infinite equations of this type can be generated.

Infinite equations of this type can be generated.
Forum: Alberico Lepore 2020-09-18, 19:28
Replies: 22
Views: 4,709
Posted By Alberico Lepore
What kind of information about the factors?

What kind of information about the factors?
Forum: Alberico Lepore 2020-09-18, 17:51
Replies: 22
Views: 4,709
Posted By Alberico Lepore
I have found other equations where, perhaps, the...

I have found other equations where, perhaps, the Coppersmith method is applicable

I don't know with what efficiency

solve (N*F-1)/8=(X^2-1)/8-2*((b-a)/8)^2 ,a*b=(N*F) ,...
Forum: Alberico Lepore 2020-09-10, 16:48
Replies: 22
Views: 4,709
Posted By Alberico Lepore
If we solve F as a function of a and N solve...

If we solve F as a function of a and N

solve 2*(N*9*F)+2*a^2+((b-a)/2)^2=((3*a+b)/2)^2 , a*b=(N*9*F) , 2*(N*9*F)+2*1^2+((a+b)/2+1)^2-((3*a+b)/2)^2=0 ,F,b

->

9*N*F=2*a^2-3*a

multiplying by...
Forum: Alberico Lepore 2020-09-10, 12:20
Replies: 22
Views: 4,709
Posted By Alberico Lepore
Bruteforce could be attempted for a multiple of 9...

Bruteforce could be attempted for a multiple of 9 :
9*F

N=161
,
2*(N*9*F)+2*a^2+((b-a)/2)^2=((3*a+b)/2)^2
,
a*b=(N*9*F)
,
2*(N*9*F)+2*1^2+((a+b)/2+1)^2-((3*a+b)/2)^2=0
Forum: Alberico Lepore 2020-09-10, 11:38
Replies: 22
Views: 4,709
Posted By Alberico Lepore
So maybe I found when it's true: (a + b) mod 3...

So maybe I found when it's true:
(a + b) mod 3 = 0
in two cases

M=[(a+b)/2-((a+b)/6-1)/2]*[2*[(a+b)/2-((a+b)/6-1)/2]-3]
and
M=[(a+b)/2-((a+b)/6+1)/2]*[2*[(a+b)/2-((a+b)/6+1)/2]+3]
Forum: Alberico Lepore 2020-09-10, 09:21
Replies: 22
Views: 4,709
Posted By Alberico Lepore
before understanding this I have to...

before understanding this



I have to understand this



would you give me a little clue
Forum: Alberico Lepore 2020-09-10, 08:32
Replies: 22
Views: 4,709
Posted By Alberico Lepore
I have not abandoned CRGreathouse number ...

I have not abandoned CRGreathouse number

390644893234047643=4*K+3

390644893234047643*3=1171934679702142929=4*H+1


Now I need to understand what k values this system returns integer values
...
Forum: Alberico Lepore 2020-09-10, 07:19
Replies: 22
Views: 4,709
Posted By Alberico Lepore
What characteristic must N have for that equality...

What characteristic must N have for that equality to be true

for example for N = 121

this

2 * 121 + 2 * 1 ^ 2 + y ^ 2- (22) ^ 2 = 0

it's not true
Forum: Alberico Lepore 2020-09-09, 20:13
Replies: 22
Views: 4,709
Posted By Alberico Lepore
When is this true?

When is this true?
Forum: Alberico Lepore 2020-09-09, 15:59
Replies: 22
Views: 4,709
Posted By Alberico Lepore
"New" same approach that isn't factorization

a * b = N

if N mod 4 = 1

then 2 * N + 2 * a ^ 2 + ((b-a) / 2) ^ 2 = ((3 * a + b) / 2) ^ 2

now i found that in some cases (i don't know which ones)

this is also true
Forum: Alberico Lepore 2020-09-08, 14:05
Replies: 15
Views: 3,339
Posted By Alberico Lepore
I don't know if 75 is always valid for 75 - 1 =...

I don't know if 75 is always valid for 75 - 1 = 74
bad that goes is 75 * 75 * log
I just found these things and immediately shared them with you
Forum: Alberico Lepore 2020-09-08, 13:50
Replies: 15
Views: 3,339
Posted By Alberico Lepore
I still don't formalize it I post the...

I still don't formalize it

I post the example proposed by CRGreathouse N=390644893234047643

M1=478539994211708362675 -> A=26585555233983797927

I found a solution in 75 log


n_min=0
Forum: Alberico Lepore 2020-09-07, 17:31
Replies: 15
Views: 3,339
Posted By Alberico Lepore
N=505928201*772135043=390644893234047643

N=505928201*772135043=390644893234047643
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