20070901, 21:27  #1 
Jul 2003
Behind BB
3·587 Posts 
fun with msieve
We have a handful of unfactored candidates in our dat file that our perfect candidates for msieve's QS. I thought that as a fun side project we could individually reserve these candidates and factor them. I'm taking the smallest...
Riesel Candidates: 136804*5^1371 = p39*p63 completed by masser 105782*5^1381 = p45*p57 completed by CedricVonck 45742*5^1431 = p36*p69 completed by Andi_HB 48394*5^1431 = p48*p58 completed by fivemack 326834*5^1461 = p34*p75 completed by jasonp 341552*5^1461 = p45*p63 completed by michaf 151026*5^1491 = p50*p61 completed by michaf 227968*5^1491 = p29*p81 completed by michaf 52922*5^1721 = p59*p67 completed by fivemack Sierpinski Candidates: 139606*5^138+1 = p48*p54 completed by CedricVonck 36412*5^142+1 = p36*p69 completed by masser 7528*5^144+1 = p53*p53 completed by tnerual 7528*5^204+1 = p30*p38*p80 completed by michaf Last fiddled with by michaf on 20071104 at 14:07 
20070901, 22:23  #2 
Mar 2004
Belgium
3×281 Posts 
105728*5^1381
Code:
303424 479306 002962 994430 118670 492165 586943 046841 795091 489446 534183 116455 096751 451492 309570 312499 999999 = 13 x 9253 236689 x 1266 808956 953719 x 1578 130914 108251 x 1 261709 691985 837549 804394 020647 407782 872228 080561 032039 040503 Number of divisors: 32 Sum of divisors: 326764 823903 317226 169656 635163 679627 792409 514426 309646 211060 937156 072427 317138 002815 464891 295543 321600 Euler's Totient: 280084 134713 733561 998143 409157 619978 601946 686908 631323 121643 102329 614804 914354 548261 823484 464618 432000 Moebius: 1 Sum of squares: a^2 + b^2 + c^2 + d^2 a = 509 578652 859514 110262 446571 387571 306621 285850 070151 b = 179 963123 989921 587242 259236 911799 112024 688349 874834 c = 106 352649 467370 338902 569982 215651 915717 946638 779769 d = 7 514240 543430 570079 959183 214566 466391 344730 749659 
20070901, 22:24  #3 
Mar 2004
Belgium
3·281 Posts 
I will try:
139606*5^138+1 Last fiddled with by ValerieVonck on 20070901 at 22:25 
20070901, 23:19  #4 
Jul 2003
Behind BB
3×587 Posts 
Thanks Cedric,
That should have been 105782, not 105728  fixed it. thanks again, masser 
20070901, 23:51  #5 
Oct 2006
7·37 Posts 
taking 7528*5^144+1

20070902, 00:03  #6  
"Robert Gerbicz"
Oct 2005
Hungary
2×3×11×23 Posts 
Quote:


20070902, 00:13  #7 
Sep 2006
11·17 Posts 

20070902, 03:13  #8 
Jul 2003
Behind BB
3·587 Posts 
I did not know that, but I did a little reading. Thanks for the tip.
If anyone wants to factor any of the numbers listed above, don't feel that you have to use msieve. Use whatever working software that you feel is best. If you have a working implementation of ggnfs, snfs, etc  feel free to use it. I only mentioned msieve because it is easy to get a working executable on most platforms and it is easy to use. 
20070902, 14:16  #9 
Mar 2004
Belgium
3×281 Posts 
Ok I will do 105782*5^1381 first.

20070903, 19:57  #10 
Oct 2006
7·37 Posts 
7528*5^144+1 has 2 factors ...
prp53 factor: 17625292660393933993715294243940883577607947975104903 prp53 factor: 19152430621509256665764579999340472696383438534215567 elapsed time 42:44:31 one core of a centrino duo 1600 it's submitted in the sieve import 
20070904, 13:42  #11 
Jul 2003
Behind BB
3·587 Posts 
Doh!
I was under the impression that all of these numbers had been heavily P1, P+1, and ECMed. I guess not:
136804*5^1371 = p39*p63 Taking 36412*5^142+1... Last fiddled with by masser on 20070904 at 13:44 
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