20070617, 20:47  #1 
Dec 2002
829 Posts 
found this factor
[Sun Jun 17 07:24:58 2007]
P1 found a factor in stage #2, B1=420000, B2=11970000. UID: Tha/test25, M33604049 has a factor: 136310731051936404841226250672413144328777911 45 digits, but not checked if it is composite. 
20070617, 21:22  #2 
Aug 2002
20252_{8} Posts 
294119824093630492221527 × 463453055134913541793

20070618, 17:18  #3 
∂^{2}ω=0
Sep 2002
República de California
2D9C_{16} Posts 
463453055134913541793 = 1+2*p*k, with k = 2^{4}*3*17*17387*486037,
294119824093630492221527 = 1+2*p*k, with k = 44683*179057*546977, that's why the composite factor was found in stage 2, but neither of the prime factors popped out after stage 1  each has a largest factor of k slightly above the stage 1 primes bound. Apparently Prime95 only does 2 GCDs, one at the end of each stage  a GCD done when stage 2 reached any prime >= 486037 would have revealed the smaller factor, and one done at any p >= 546977 (much smaller than the stage 2 upper bound that was used) would have revealed both. But stage 2 primes are cheap and GCDs expensive... Last fiddled with by ewmayer on 20070618 at 17:22 
20070618, 19:44  #4  
Bamboozled!
"𒉺𒌌𒇷𒆷𒀭"
May 2003
Down not across
11×17×59 Posts 
Quote:
Paul 

20070618, 19:56  #5 
∂^{2}ω=0
Sep 2002
República de California
11676_{10} Posts 

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