is 2 691697 - 1
has 208222 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-LA13317291156C9F7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26742.958070.1493 %131072131072000.02433.5183 %42.982371.1995 %
Target2440.000054.5455 %1200022500000.003916.4776 %0.003962.0353 %
Difference+23+42.9580+15.6038 %+119072+10857200+0.0204-12.9593 %+42.9784+9.1642 %

Known prime factors (1 factor, 78.4 bits, 0.01133209% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6916973943298009736375303141192478.384285045186673960947
32 × 13 × 23 × 105925375947217
2008-04-212310592537594721788,502167,130312,152

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.658%
2002-01-28ANONYMOUSv4_computers4096409600--0.00114.556%
2002-03-16ANONYMOUSv4_computers8192819200--0.00217.336%
2002-05-05ANONYMOUSv4_computers163841638400--0.00320.083%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.787%
2002-10-26ANONYMOUSv4_computers65536655360012--0.01225.443%
2003-06-30ANONYMOUSv4_computers1310721310720012--0.02428.043%


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_computers212580.056


ECM factoring results:
Total ECM effort:11.270 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.038
5000050000002796.275
25000025000000444.957


Lucas-Lehmer results:
No L-L results for M691697


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-0
394329800973637530314119
6B4D0DFEBF241588
2017-10-13Oliver KruseThreadripper-PC
394329800973637530314119
6B4D0DFEBF241588
2017-12-15ATHec2-1xh
394329800973637530314119
6B4D0DFEBF241588
2020-04-20Oliver KruseAddPrpType5
394329800973637530314119
42ABD33037241053


CERT results:
No CERT results for M691697


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)
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106
100
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1010
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TF factor-bounds graph:
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-02-09T03:30:02+00:00