20161218, 12:08  #1 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
41·71 Posts 
Factor a 108digit number
Can you factor this 108digit number?
358067153075280091687606962140031769213545967330874843089105902372932716917748288458270854167173891502700629 This number is a cofactor of Pell(361). 
20161218, 13:19  #2 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
3×17×97 Posts 
Use Yafu.

20161218, 16:07  #3 
"Robert Gerbicz"
Oct 2005
Hungary
2716_{8} Posts 
It is a cofactor of Pell(361)=((1+sqrt(2))^361(1sqrt(2))^361)/(2*sqrt(2)) (see https://en.wikipedia.org/wiki/Pell_number), what has been already in factordb. Factorization should be easy with snfs.

20161218, 18:31  #4 
"Curtis"
Feb 2005
Riverside, CA
2^{2}×1,217 Posts 

20161219, 11:06  #5 
Dec 2011
After milion nines:)
10110101011_{2} Posts 

20161219, 20:06  #6 
"Sam"
Nov 2016
144_{16} Posts 
358067153075280091687606962140031769213545967330874843089105902372932716917748288458270854167173891502700629 = 9104172185158168919441107361 * 39330006703850505769586059189807082280648538137945488453980734279873751592065589
Sweety439, my next challenge for you is to use yafu, msieve, or gmpecm like pinhodecarlos and I am suggesting and factor: 434500110637200403708423583711016906094707753940581510237433729028636147420998147897873135988368249681558787 (It's another 108 digit number just like your thread title says) Last fiddled with by carpetpool on 20161219 at 20:07 
20161221, 17:33  #7 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2911_{10} Posts 
Thanks for find the factor 9104172185158168919441107361

20161221, 18:52  #8  
Dec 2011
After milion nines:)
1,451 Posts 
Quote:
Dont do work for this guy: I think he is bored in ghis life, and has no other work except to post many, many messages on this forum. Some of them are interesting, but bigger part of them is totally useless. And also I doubt that he wont to learn: he rather say same thing again and again. Many members here do work, and once in the month report results, no unnecessary topics, no unnecessary posts, there is no need to prove something and selfpraise of Sweety439 is on high ranking ( in his own eyes). Rest thinks completely different. 

20161221, 21:16  #9 
"Sam"
Nov 2016
2^{2}·3^{4} Posts 
Okay, I have to agree with you there just from reading most of his posts. I was actually trying to educate him on some of these concepts, but now I think he should just wiki them or read about them on another source.

20161221, 21:22  #10 
"Sam"
Nov 2016
2^{2}·3^{4} Posts 
In order to factor my challenge number, you will need to become more resourceful and download factorization programs such as gmpecm or yafu. FYI You could have search the factor yourself on factordb.com. It won't work with the number I am asking you to factor, if you can.

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