is 2 3649363 - 1
has 1098568 decimal digits
takes 0.383 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB16627F4F0E0F04Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26932.714468.1159 %300000006000000009.298111.0923 %42.012571.6526 %
Target2640.975365.6250 %2200020000000.01982.0361 %0.995166.3249 %
Difference+5+31.7391+2.4909 %+29978000+598000000+9.2783+9.0562%+41.0174+5.3277 %

Known prime factors (1 factor, 69.5 bits, 0.00190312% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
36493638073004436384391870072169.452110608405307781
3 × 19 × 1940498338733
2021-08-0819194049833873332.71416,10130,072

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-07Carsten Kossendeymother20000250000--0.0051.742%
2012-01-28Squeeky_SquirrelP4_26009000016425006--0.0273.824%
2016-06-12JossManual testing10800032850006--0.0434.561%
2016-12-29JossManual testing129600129600---1.748%
2017-01-29JossManual testing167520167520---1.973%
2017-03-02JossManual testing24122824122806--0.0554.726%
2020-09-03axnManual testing3000000060000000012--9.29815.256%
2022-03-04JossManual testing9000090000--0.0141.454%
2022-03-22JossManual testing100000100000--0.0151.536%
2022-05-25JossManual testing100000130364850--1.3028.091%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-03-10S485122USB-A2602610.042
2011-05-13markrManual testing212620.084
2012-06-05GrunwalderGIMPManual testing212630.437
2016-02-23Mark RoseManual testing2622630.269
2015-01-22VictordeHollanderManual testing2632640.538
2015-01-22VictordeHollanderManual testing2642651.024
2015-10-20ramgeisManual testing2652662.048
2016-12-28Gordon SpenceManual testing2662674.095
2018-06-25TJAOIManual testing2672688.191
2020-11-07axnManual testing26826916.38


ECM factoring results:
Total ECM effort:3.421 GHz-days
Estimated T-Level:4.615
DigitsB1CompleteFacMiss
20110000.92339.729%
25500000.08591.814%
302500000.00599.463%


ECM Summary

B1B2factorcurvesGHz-days
500005000000192.677
50000500000050.743


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-22ANONYMOUSv4_computersB16627F4F0E0F04D0.383


PRP results:
dateuseridcompidcofactorsres64
2021-08-09SRJ2877LTOS
807300443638439187007
878921C4D2BA4CCC


CERT results:
dateuseridcompid
2021-08-09curtiscgrn016--00l


P-1 factor-bounds graph:
B1 = 30000000, B2 = 600000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 241228, B2 = 2412280 (P-1 stage 2)
B1 = 108000, B2 = 3285000 (P-1 stage 2)
B1 = 241228 (P-1 stage 1)
B1 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 167520 (P-1 stage 1)
B1 = 129600 (P-1 stage 1)
B1 = 108000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 250000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=4.62 ~= -1-bit
250
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Last modified: 2024-02-29T14:28:04+00:00