20060213, 19:44  #1 
Jan 2003
Altitude>12,500 MSL
101 Posts 
v5 PrimeNet factor validation  test it now!
Can anyone break this v5 factor validation test for any exponent n and factor f ? Post any n, f that you find breaks the test.
http: //v5.mersenne.org/v5server/gimps/mpftest.php ? n=<exponent> & f=<factor> Examples: http://v5.mersenne.org/v5server/gimp...39203503481761 1745801539203503481761 IS FACTOR of M(25196683) http://v5.mersenne.org/v5server/gimp...39203503481763 1745801539203503481763 is NOT factor of M(25196683) 
20060213, 20:11  #2 
Aug 2002
223 Posts 
http://v5.mersenne.org/v5server/gimp...?n=2&f=klingon
klingon is NOT factor of M(2) True, but not true. :D Last fiddled with by Paulie on 20060213 at 20:11 
20060213, 20:19  #3 
Jul 2004
Potsdam, Germany
3×277 Posts 

20060213, 20:20  #4 
Aug 2002
223 Posts 
Found one
http://v5.mersenne.org/v5server/gimp...82412157958831
8092687948661261082412157958831 is NOT factor of M(23292847) 23292847 F 103 8092687948661261082412157958831 14Feb04 01:24 PJMBorg01 EDIT: Scott saw this already. Maybe pull a dump from v4 for all factors found and script them all through the new code? Last fiddled with by Paulie on 20060213 at 20:27 
20060213, 20:31  #5 
6809 > 6502
"""""""""""""""""""
Aug 2003
101Γ103 Posts
2×7×677 Posts 
http://v5.mersenne.org/v5server/gimp....php?n=127&f=1
1 is NOT factor of M(127) http://v5.mersenne.org/v5server/gimp....php?n=128&f=3 3 is NOT factor of M(128) However: M(128)=340282366920938463463374607431768211455 = 3 x 5 x 17 x 257 x 641 x 65537 x 274177 x 6700417 x 67280421310721 Last fiddled with by Uncwilly on 20060213 at 20:39 
20060213, 21:03  #6 
Jan 2003
Altitude>12,500 MSL
101 Posts 
Hmm, the notes in the code I'm using cites these restrictions:
(a) 79999999 >= odd exponent >= 727so let's stay within those. For Paulie's 8092687948661261082412157958831 of M(23292847), I'm wondering if that's an invalid factor report. The GNU Multiple Precision Arithmetic Library (GMP) try it site http://www.swox.com/gmp/#TRY when given: (2^232928471) mod 8092687948661261082412157958831Responds: The result of executing (2^232928471) mod 8092687948661261082412157958831 is:instead of the expected 0 result. As a check: The result of executing (2^251966831) mod 1745801539203503481761 is:as expected. 
20060213, 21:28  #7  
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
10100110010000_{2} Posts 
Quote:
Nobody else seems to have tested that Mn is a factor of Mn Paul 

20060213, 21:31  #8 
Aug 2002
223 Posts 
If that's the case, I want to LL test that canidate! I sent a note to George.
Last fiddled with by Paulie on 20060213 at 21:36 
20060213, 22:33  #9 
Jan 2005
Caught in a sieve
5·79 Posts 
You really ought to parse out nondigits from those arguments. Otherwise, one can put anything they want in there!
I don't know the exact codes, but someone could probably compromise your server this way. Last fiddled with by Ken_g6 on 20060213 at 22:34 
20060213, 22:49  #10 
Nov 2005
South Carolina
77_{10} Posts 
4440772988630248159 IS FACTOR of M(62069197)
Just found that, so, works for me. 
20060213, 23:17  #11 
Sep 2003
349 Posts 
According to the Factors file, the factor of 23292847 is actually:
18092687948661261082412157958831, which passes the test OK. 
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