is 2 2131373 - 1
has 641608 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L32129BAB39E581D4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.941267.1642%500000150000000.12305.1624%14.064268.8593%1.6951%
PrimeNet2580.018062.0690%90001700000.00172.7293%0.019763.1042%1.0352%
GPU722620.288264.5161%100001500000.00171.4863%0.289965.0435%0.5274%
Difference+5+13.6530+2.6481%+490000+14850000+0.1213+3.6761%+13.7743+3.8158%+3.8158%

Known prime factors (1 factor, 86.7 bits, 0.00406783% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21313731257394209074118944616309292786.70129497282011973477768
23 × 11 × 103 × 503 × 2281 × 2836408859
2015-08-112281283640885910,643,99314.73327.517

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-01-12T23:59:00Jocelyn LaroucheManual testing5000050000---0.005--0.598%
2011-01-22T08:38:00James Heinrichi7-9201400003045000---0.028--3.113%
2016-03-19T15:01:45alpertronManual testing5000001500000012---0.123--5.162%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-12T00:00:00ANONYMOUSv4_computers21257--0.009--
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T10:02:00LordJuliusManual testing21260--0.072--
2009-01-05T05:33:00Sturle Sundecelair.ifi260261--0.072--
2012-04-14T21:49:00Sebastian HornbostelManual testing261262--0.144--
2013-09-07T11:35:00ramgeisManual testing262263--0.461--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.921--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.753--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.535 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.535 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.279
50000500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-12T00:00:00ANONYMOUSv4_computers32129BAB39E581D40.140
1999-02-21T00:00:00ANONYMOUSv4_computers32129BAB39E581D40.140


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T15:24:53Oliver KruseGTX-1
125739420907411894461630929
B5CAE4CC6DAEB8__no
2017-11-18T01:40:38kkmrkkblmbrbkc4.xlarge
125739420907411894461630929
B5CAE4CC6DAEB8__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 140000, B2 = 3045000 (P-1 stage 2)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
265
264
263
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-03-09T10:02:00+00:00