is 2 5551831 - 1
has 1671268 decimal digits
takes 0.877 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-LD96AD1E01216CB56double-checked
PRP272E2C257E5467CB

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2751,378.267569.3333%50000004050000006.13516.2551%1,384.402671.2515%1.9182%
PrimeNet2620.110762.9032%240005500000.01213.1662%0.122764.0778%1.1746%
GPU722662.660165.1515%340007000000.01612.1570%2.676265.9032%0.7517%
Difference+9+1,375.6074+4.1818%+4966000+404300000+6.1190+4.0980%+1,381.7264+5.3483%+5.3483%

Known prime factors (1 factor, 89.7 bits, 0.00161576% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
555183110084837136581134356886569932889.70490824424740064443216
24 × 317 × 3541 × 506963 × 9975191
2021-10-30506963997519138,106,0010.23420.2363

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-06-06T07:41:00Carsten Kossendeyleela25000356250---0.010--0.437%
2010-11-25T04:41:00Squeeky_SquirrelP4_2600650001121250---0.028--0.870%
2013-05-19T13:54:00Squeeky_SquirrelP4_26001750003937500---0.087--1.574%
2021-10-30T23:22:52Architects Cubedburrow50000004050000002889.7046.1351.75312.276.255%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:39:10Mark RoseManual testing21262--0.111--
2009-02-11T05:10:00GrunwalderGIMPManual testing262263--0.177--
2012-06-27T11:26:00dbaughManual testing263264--0.354--
2012-07-07T12:36:00dbaughManual testing264265--0.673--
2012-07-11T04:38:00dbaughManual testing265266--1.346--
2012-07-11T04:38:00dbaughManual testing266267--2.692--
2012-08-12T07:06:00dbaughManual testing267268--5.384--
2012-08-15T08:42:00dbaughManual testing268269--10.77--
2012-09-26T12:11:00dbaughManual testing269270--21.54--
2012-11-27T09:10:00dbaughManual testing270271--43.07--
2013-03-16T09:36:00dbaughManual testing271272--86.14--
2013-05-06T06:53:00dbaughManual testing272273--172.3--
2013-09-09T04:53:00dbaughManual testing273274--344.6--
2013-10-17T08:30:00dbaughManual testing274275--689.1--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.122 GHz-days
Estimated T-Level:0.650
DigitsB1CurvesCompleteFacMiss
201100013 / 1000.13087.752%
255000013 / 2800.04695.455%

New Calculation Method

Total ECM effort:3.122 GHz-days
Estimated T-Level:0.650
DigitsB1CompleteFacMiss
20110000.41965.747%
25500000.03896.281%
302500000.00299.767%


ECM Summary

B1B2factorcurvesGHz-days
500005000000133.122


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-01-21T00:00:00ANONYMOUSv4_computersD96AD1E01216CB560.877
2001-02-11T00:00:00ANONYMOUSv4_computersD96AD1E01216CB560.877
2001-03-11T00:00:00ANONYMOUSv4_computersD96AD1E01216CB560.877


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-05T12:52:57LaurVZero818
1008483713658113435688656993
272E2C257E5467CBno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 405000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 175000, B2 = 3937500 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 65000, B2 = 1121250 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
B1 = 25000, B2 = 356250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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TF factor-bounds graph:
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272
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Last modified: 2021-11-05T12:52:57+00:00