mersenneforum.org  

Go Back   mersenneforum.org > Extra Stuff > Blogorrhea > Alberico Lepore

Reply
 
Thread Tools
Old 2021-05-09, 09:14   #1
Alberico Lepore
 
Alberico Lepore's Avatar
 
May 2017
ITALY

23·32·7 Posts
Default Lepore Factorization nr.88

I've tried again

Lepore Factorization nr.88

https://www.academia.edu/48848013/Le...rization_nr_88
Alberico Lepore is offline   Reply With Quote
Old 2021-05-11, 17:36   #2
Alberico Lepore
 
Alberico Lepore's Avatar
 
May 2017
ITALY

23×32×7 Posts
Default

free copy



@CRGreathouse your number
https://mersenneforum.org/showthread.php?t=25929


390644893234047643

sqrt(390644893234047643/2)=441692991 -> 441692991 ; 441692989 ;441692987 ; 441692985
sqrt(390644893234047643) =625015914 -> 625015913 ; 625015911 ;625015909 ; 625015907


(390644893234047643-3)/8-Q-[4-(441692985-7)*(441692985-5)/8]=441692985*X

(390644893234047643-3)/8-P-[4-(625015907-7)*(625015907-5)/8]=625015907*X

Q=441692985*x+152029391

P=625015907*y+60099037

p*(q-625015907)/8=625015907*y+60099037 ,p*q=390644893234047643

p=625015921-8*y

q*(p-441692985)/8=441692985*x+152029391,p*q=390644893234047643

q=884426299- 8*x





Use LLL alghorithm to find one solution of

m*(a1)*(a3)+n*(b1)*(b3) = N*t +T

m*(a1)*(a4)-n*(b1)*(b4) = N*s + S

m*(a2)*(a3)-n*(b2)*(b3) = N*w + W

64 < T <= 64 *j where j is integer > 1

0<S <= sqrt(N)

0<W <= sqrt(N)

a1=441692985 , a2=152029391 ,a3=625015907 ,a4=60099037

b1=8 , b2=884426299 , b3=8 , b4=625015921
Attached Files
File Type: pdf Lepore_Factorization_nr_88.pdf (58.8 KB, 75 views)

Last fiddled with by Alberico Lepore on 2021-05-18 at 10:27
Alberico Lepore is offline   Reply With Quote
Old 2021-07-10, 14:22   #3
Alberico Lepore
 
Alberico Lepore's Avatar
 
May 2017
ITALY

50410 Posts
Default

Quote:
Originally Posted by Alberico Lepore View Post
I've tried again

Lepore Factorization nr.88

https://www.academia.edu/48848013/Le...rization_nr_88
How to bypass the difficulty of factoring an RSA number

I've tried again

Lepore Factorization nr.88
Attached Thumbnails
Click image for larger version

Name:	bypassRSA.PNG
Views:	57
Size:	19.5 KB
ID:	25254  
Alberico Lepore is offline   Reply With Quote
Old 2021-07-13, 14:43   #4
Alberico Lepore
 
Alberico Lepore's Avatar
 
May 2017
ITALY

1111110002 Posts
Default

Quote:
Originally Posted by Alberico Lepore View Post
I've tried again

Lepore Factorization nr.88

https://www.academia.edu/48848013/Le...rization_nr_88
I've tried again

Lepore Factorization nr.88

another photo for my net-friends
Attached Thumbnails
Click image for larger version

Name:	RSA-GAMEOVER.PNG
Views:	42
Size:	31.2 KB
ID:	25266  
Alberico Lepore is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Last factorization of Lepore in O(1) Alberico Lepore Alberico Lepore 2 2019-12-02 08:37
20th Test of primality and factorization of Lepore with Pythagorean triples Alberico Lepore Alberico Lepore 43 2018-01-17 15:55
18th Test of primality and factorization of Lepore in 5 * log_25 (N) (New Year's algorithm) Alberico Lepore Alberico Lepore 2 2018-01-01 21:31
14° Primality test and factorization of Lepore ( conjecture ) Alberico Lepore Alberico Lepore 48 2017-12-30 09:43
Lepore Factorization in O(k) Conjecture Alberico Lepore Alberico Lepore 61 2017-09-23 21:52

All times are UTC. The time now is 06:33.


Wed Oct 20 06:33:12 UTC 2021 up 89 days, 1:02, 0 users, load averages: 0.90, 1.15, 1.09

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.