is 2 5076443 - 1
has 1528162 decimal digits
takes 0.704 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L100E8F5B7C4BD431double-checked
PRP02D3C106E3A3FA63verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272188.386668.0556%30500095312500.16232.9668%188.548969.0033%0.9477%
PrimeNet2610.060562.2951%220005000000.00973.4069%0.070263.5796%1.2846%
GPU722651.437264.6154%340007000000.01412.4222%1.451365.4725%0.8571%
Difference+7+186.9494+3.4402%+271000+8831250+0.1482+0.5446%+187.0976+3.5308%+3.5308%

Known prime factors (1 factor, 79.9 bits, 0.00157388% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
507644311255913619766088149335672579.897110864178123994381
2207 × 19853 × 2530246111
2021-11-0419853253024611146,67527.71151.749

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-16T15:21:00harleeP4_260055000907500---0.020--1.155%
2017-03-09T00:42:33Squeeky_Squirreli5-5250U_1600305000953125012---0.162--2.967%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-04T23:06:36ATH5960X2500000250000027P+12579.8970.764


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-06-01T00:00:00ANONYMOUSv4_computers21261--0.061--
2008-12-29T10:25:00Sturle Sundebakeng.ifi261262--0.061--
2009-08-08T04:06:00GrunwalderGIMPManual testing21263--0.314--
2016-02-23T16:39:08Mark RoseManual testing262263--0.193--
2014-09-01T13:55:00krackerManual testing263264--0.387--
2014-09-15T10:35:00monstManual testing264265--0.736--
2015-08-02T21:34:00snme2pm1Manual testing265266--1.472--
2016-05-23T19:05:19Gordon SpenceManual testing266267--2.944--
2018-06-11T12:29:33ramgeisManual testing267268--5.888--
2021-01-11T11:09:10TJAOIManual testing268269--11.78--
2021-04-01T17:32:03-Anonymous-Manual testing269270--23.55--
2021-04-01T17:32:03-Anonymous-Manual testing270271--47.11--
2021-04-03T17:56:45-Anonymous-Manual testing271272--94.21--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.897 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.897 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.897


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27T00:00:00ANONYMOUSv4_computers100E8F5B7C4BD4310.704
2000-05-05T00:00:00ANONYMOUSv4_computers100E8F5B7C4BD4310.704


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-05T03:51:32ATHec2-PRPCFDC
1125591361976608814933567
02D3C106E3A3FA63no


P-1 factor-bounds graph:
B1 = 2500000 (P+1 stage 1)
B1 = 305000, B2 = 9531250 (P-1 stage 2)
B1 = 305000 (P-1 stage 1)
B1 = 55000, B2 = 907500 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2021-11-05T03:51:32+00:00