20121106, 21:49  #1 
"Åke Tilander"
Apr 2011
Sandviken, Sweden
2·283 Posts 
Factors of Ms close to yummy M&Ms
The double mersenne MM89 =
M618970019642690137449562111 In Will Edgingtons list of Mersenne factors I find that M618970019642690137449562201 has three known factors for k=244143 k=13152 k=3284020 I didn't know that before. Does anybody know when and by whom those three factors were found? And maybe which program was used? Anyway I think its very impressive! Should have googled first, but now I have done it and found this post. And in this post we find a lot more of them! Last fiddled with by aketilander on 20121106 at 22:01 
20121107, 02:24  #2 
Romulan Interpreter
"name field"
Jun 2011
Thailand
10027_{10} Posts 
Code:
gp > a=1<<891000 %1 = 618970019642690137449561112 gp > while(1, if(isprime(a) && a%4==3 && isprime(b=a<<1+1),print(b" is a factor of M"a));a+=2) 1237940039285380274899124183 is a factor of M618970019642690137449562091 1237940039285380274899126343 is a factor of M618970019642690137449563171 1237940039285380274899134719 is a factor of M618970019642690137449567359 1237940039285380274899142519 is a factor of M618970019642690137449571259 1237940039285380274899142639 is a factor of M618970019642690137449571319 1237940039285380274899143119 is a factor of M618970019642690137449571559 1237940039285380274899152047 is a factor of M618970019642690137449576023 1237940039285380274899154999 is a factor of M618970019642690137449577499 1237940039285380274899155119 is a factor of M618970019642690137449577559 1237940039285380274899162967 is a factor of M618970019642690137449581483 1237940039285380274899180127 is a factor of M618970019642690137449590063 1237940039285380274899187423 is a factor of M618970019642690137449593711 1237940039285380274899194743 is a factor of M618970019642690137449597371 1237940039285380274899227959 is a factor of M618970019642690137449613979 1237940039285380274899250519 is a factor of M618970019642690137449625259 1237940039285380274899260047 is a factor of M618970019642690137449630023 1237940039285380274899293599 is a factor of M618970019642690137449646799 1237940039285380274899315823 is a factor of M618970019642690137449657911 1237940039285380274899343999 is a factor of M618970019642690137449671999 1237940039285380274899344119 is a factor of M618970019642690137449672059 1237940039285380274899349783 is a factor of M618970019642690137449674891 1237940039285380274899352399 is a factor of M618970019642690137449676199 1237940039285380274899356503 is a factor of M618970019642690137449678251 1237940039285380274899361639 is a factor of M618970019642690137449680819 1237940039285380274899386623 is a factor of M618970019642690137449693311 1237940039285380274899391927 is a factor of M618970019642690137449695963 1237940039285380274899394519 is a factor of M618970019642690137449697259 1237940039285380274899400783 is a factor of M618970019642690137449700391 1237940039285380274899402583 is a factor of M618970019642690137449701291 1237940039285380274899434143 is a factor of M618970019642690137449717071 1237940039285380274899437983 is a factor of M618970019642690137449718991 1237940039285380274899445087 is a factor of M618970019642690137449722543 1237940039285380274899461863 is a factor of M618970019642690137449730931 1237940039285380274899500503 is a factor of M618970019642690137449750251 1237940039285380274899506719 is a factor of M618970019642690137449753359 1237940039285380274899512287 is a factor of M618970019642690137449756143 1237940039285380274899541183 is a factor of M618970019642690137449770591 1237940039285380274899563983 is a factor of M618970019642690137449781991 1237940039285380274899571687 is a factor of M618970019642690137449785843 1237940039285380274899580639 is a factor of M618970019642690137449790319 1237940039285380274899599767 is a factor of M618970019642690137449799883 1237940039285380274899603343 is a factor of M618970019642690137449801671 1237940039285380274899625903 is a factor of M618970019642690137449812951 1237940039285380274899646519 is a factor of M618970019642690137449823259 1237940039285380274899660127 is a factor of M618970019642690137449830063 1237940039285380274899682423 is a factor of M618970019642690137449841211 1237940039285380274899683119 is a factor of M618970019642690137449841559 1237940039285380274899683263 is a factor of M618970019642690137449841631 1237940039285380274899687343 is a factor of M618970019642690137449843671 1237940039285380274899704263 is a factor of M618970019642690137449852131 1237940039285380274899722599 is a factor of M618970019642690137449861299 1237940039285380274899757543 is a factor of M618970019642690137449878771 1237940039285380274899780367 is a factor of M618970019642690137449890183 1237940039285380274899828847 is a factor of M618970019642690137449914423 1237940039285380274899845143 is a factor of M618970019642690137449922571 1237940039285380274899850303 is a factor of M618970019642690137449925151 1237940039285380274899850567 is a factor of M618970019642690137449925283 1237940039285380274899866263 is a factor of M618970019642690137449933131 1237940039285380274899870967 is a factor of M618970019642690137449935483 1237940039285380274899897223 is a factor of M618970019642690137449948611 1237940039285380274899917623 is a factor of M618970019642690137449958811 1237940039285380274899938599 is a factor of M618970019642690137449969299 1237940039285380274899958999 is a factor of M618970019642690137449979499 1237940039285380274899975247 is a factor of M618970019642690137449987623 1237940039285380274899979543 is a factor of M618970019642690137449989771 1237940039285380274899988183 is a factor of M618970019642690137449994091 1237940039285380274900018519 is a factor of M618970019642690137450009259 1237940039285380274900024663 is a factor of M618970019642690137450012331 1237940039285380274900034527 is a factor of M618970019642690137450017263 1237940039285380274900047127 is a factor of M618970019642690137450023563 1237940039285380274900053199 is a factor of M618970019642690137450026599 1237940039285380274900058239 is a factor of M618970019642690137450029119 *** at toplevel: while(1,if(isprime(a)&&a%4==3&& *** ^ *** isprime: user interrupt after 46,921 ms. *** Break loop: type <Return> to continue; 'break' to go back to GP break> 
20121107, 02:50  #3 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
2×5,323 Posts 
Just waiting for the thread title to morph.

20121107, 02:59  #4 
"Vincent"
Apr 2010
Over the rainbow
5435_{8} Posts 
M&M's; you can't explain that!

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