mersenneforum.org palindromic prime 111010111
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 2018-12-10, 12:48 #1 enzocreti   Mar 2018 10338 Posts palindromic prime 111010111 A mathexchange user found that 111010111 divides ((2^3343663-1)*10^1006543+2^3343662-1), the concatenation of two consecutive Mersenne numbers!
 2018-12-10, 12:50 #2 enzocreti   Mar 2018 72·11 Posts other factors Somebody can find other factors of this number? Besides 691 and naturally 111010111 Last fiddled with by enzocreti on 2018-12-10 at 12:51
2018-12-10, 13:33   #3
ET_
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"Luigi"
Aug 2002
Team Italia

3·1,619 Posts

Quote:
 Originally Posted by enzocreti Somebody can find other factors of this number? Besides 691 and naturally 111010111
Why?

 2018-12-10, 15:00 #4 enzocreti   Mar 2018 72×11 Posts factor it just for fun and because i guess that the next factor is a 666666666...7 prime!
2018-12-10, 15:27   #5
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"Luigi"
Aug 2002
Team Italia

10010111110012 Posts

Quote:
 Originally Posted by enzocreti just for fun and because i guess that the next factor is a 666666666...7 prime!
Now that's becoming interesting...

What makes you think that the next factor is "a 666666666...7 prime" ?

2018-12-10, 23:15   #6
CRGreathouse

Aug 2006

5,987 Posts

Quote:
 Originally Posted by enzocreti just for fun and because i guess that the next factor is a 666666666...7 prime!
If that is the case, it has more than 80,000 digits.

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