is 2 692641 - 1
has 208506 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBA5BF5CCF9613529double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26742.899470.1493 %131072131072000.02433.5190 %42.923771.1997 %
Target2440.000054.5455 %1200022500000.003916.4801 %0.003962.0364 %
Difference+23+42.8994+15.6038 %+119072+10857200+0.0204-12.9612 %+42.9198+9.1633 %

Known prime factors (2 factors, 162.4 bits, 0.02344075% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
692641160544517552072024298812373.76511589302218037340
22 × 3 × 5 × 273901 × 705200189
2015-10-092739017052001892,761.71.12022.0782
6926414674116516958090079834401912788.595337412636341054751295
32 × 5 × 7 × 13 × 29 × 107 × 2011 × 13204245517
2008-04-2420111320424551790,502,70620.83438.912

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.661%
2002-01-28ANONYMOUSv4_computers4096409600--0.00114.559%
2002-03-16ANONYMOUSv4_computers8192819200--0.00217.339%
2002-05-05ANONYMOUSv4_computers163841638400--0.00320.085%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.790%
2002-10-26ANONYMOUSv4_computers65536655360012--0.01225.446%
2003-06-30ANONYMOUSv4_computers1310721310720012--0.02428.046%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-02-16ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-08ANONYMOUSv4_computers212560.014
2001-12-22ANONYMOUSv4_computers212570.028
2003-10-08ANONYMOUSv4_computers212580.055


ECM factoring results:
Total ECM effort:11.268 GHz-days
Estimated T-Level:25.654
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.057
5000050000002495.600
500005000000290.653
25000025000000444.957


Lucas-Lehmer results:
No L-L results for M692641


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-1
467411651695809007983440191
16054451755207202429881
31348BFBC5FF9485
2017-09-28Oliver KruseManual testing
467411651695809007983440191
16054451755207202429881
31348BFBC5FF9485
2017-09-30alpertronManual testing
16054451755207202429881
467411651695809007983440191
31348BFBC5FF9485
2017-12-08ATHxps
16054451755207202429881
467411651695809007983440191
31348BFBC5FF9485
2020-04-20Oliver KruseAddPrpType5
16054451755207202429881
467411651695809007983440191
062C447A2826F172


CERT results:
No CERT results for M692641


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
280
290
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Last modified: 2024-02-09T03:30:02+00:00