is 2 5078387 - 1
has 1528747 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-L-unknown--unknown-
PRP72C13DE4C2A5F03Dverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272188.314468.0556%30500095312500.16232.9670%188.476869.0033%0.9478%
PrimeNet2610.060562.2951%220005000000.00973.4071%0.070163.5797%1.2846%
GPU722651.436664.6154%340007000000.01412.4223%1.450765.4725%0.8571%
Difference+7+186.8778+3.4402%+271000+8831250+0.1482+0.5446%+187.0260+3.5308%+3.5308%

Known prime factors (1 factor, 78.9 bits, 0.00155325% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
50783875561717071392935165088792478.88054758696721940797
3 × 8761 × 402331 × 5178389
2021-11-06402331517838922,2220.13320.1646

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-17T06:43:00harleeP4_260055000907500---0.020--1.155%
2017-03-09T18:19:38Squeeky_Squirreli5-5250U_1600305000953125012---0.162--2.967%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-06T09:50:45ATH5960X25000009250000027P-12478.8801.730


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:39:08Mark RoseManual testing21261--0.060--
2008-12-29T06:38:00Sturle Sundebruch.ifi261262--0.060--
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--
2014-09-15T01:26:00monstManual testing264265--0.736--
2015-08-02T21:34:00snme2pm1Manual testing265266--1.471--
2016-05-23T19:05:19Gordon SpenceManual testing266267--2.943--
2018-06-11T12:29:33ramgeisManual testing267268--5.886--
2021-01-11T11:09:10TJAOIManual testing268269--11.77--
2021-04-01T00:00:05-Anonymous-Manual testing269270--23.54--
2021-04-01T00:00:05-Anonymous-Manual testing270271--47.09--
2021-04-02T16:27:56-Anonymous-Manual testing271272--94.17--


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)
2000-05-17T00:00:00Stephenv4_computers4E6673E1264970__0.704


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-06T10:57:16Tucker KaoOld_Timer_2013
556171707139293516508879
72C13DE4C2A5F03Dno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 92500000 (P-1 stage 2)
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
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2021-11-06T10:57:16+00:00