is 2 2929711 - 1
has 881931 decimal digits
takes 0.249 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD5D28748AD5A8A1Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26940.750468.1159 %1000000200000000.25125.0516 %41.001569.7266 %
Target2630.544865.0794 %1700015000000.01211.9451 %0.556865.7586 %
Difference+6+40.2056+3.0366 %+983000+18500000+0.2391+3.1065%+40.4447+3.9680 %

Known prime factors (1 factor, 70.6 bits, 0.00241147% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
292971118512559188214089490492270.649315945142510884
22 × 3 × 234197 × 112421431
2022-03-2423419711242143181.5610.78321.4118

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-13ANONYMOUSv4_computers2048204800--0.0020.690%
2003-12-23Team Prime Ribv4_computers1000010000--0.0010.375%
2010-11-10markrtiny10500022837506--0.0284.559%
2015-04-27VictordeHollanderManual testing10000002000000012--0.2518.648%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.052
2009-02-14Sturle Sundehummel.ifi2602610.052
2012-01-03markroldgamer2612620.105
2013-01-07dbaughManual testing2622630.335
2015-04-25VictordeHollanderManual testing2632640.670
2015-04-25VictordeHollanderManual testing2642651.275
2016-02-23ramgeisManual testing2652662.551
2017-11-23Gordon SpenceManual testing2662675.101
2018-12-20chuenkitManual testing26726810.20
2021-05-24TJAOIManual testing26826920.41


ECM factoring results:
Total ECM effort:11.545 GHz-days
Estimated T-Level:21.950
DigitsB1CompleteFacMiss
20110004.2151.478%
25500000.39067.712%
302500000.02597.569%
3510000000.00199.885%


ECM Summary

B1B2factorcurvesGHz-days
500005000000959.96
50000500000070.735
50000675000070.847


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-30ANONYMOUSv4_computersD5D28748AD5A8A1F0.249
2018-10-07kkmrkkblmbrbkoldD5D28748AD5A8A1F0.226


PRP results:
dateuseridcompidcofactorsres64
2022-03-30Poaooffice-CN2
1851255918821408949049
A4C7468C3DCE4637


CERT results:
dateuseridcompid
2022-03-30lajo321ln056


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.95 ~= 56-bit
250
260
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Last modified: 2024-02-29T14:28:04+00:00