is 2 3238133 - 1
has 974776 decimal digits
takes 0.276 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-
PRP5726502E20EE1395verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26936.869068.1159%40000001500000001.47538.1078%38.344370.7010%2.5851%
PrimeNet2600.047463.3333%140002600000.00342.7690%0.050864.3486%1.0153%
GPU722641.099265.6250%160002800000.00371.6537%1.102966.1935%0.5685%
Difference+5+35.7698+2.4909%+3984000+149720000+1.4716+6.4541%+37.2414+4.5076%+4.5076%

Known prime factors (1 factor, 70.7 bits, 0.00218269% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
323813318893836166765836897432270.678291739656258187
291739656258187
2021-03-23129173965625818788.2901,961,5933,663,709

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:39:00Carsten Kossendeydurandal15000191250---0.003--0.669%
2011-09-30T16:47:00markrtiny2000004500000---0.054--3.061%
2018-07-24T12:57:28Jocelyn Larouchelow 4M4000001042383---0.054--2.259%
2018-07-25T17:21:13Jocelyn Larouchelow 4M4000002161483---0.061--2.810%
2018-07-27T18:51:09Jocelyn Larouchelow 4M40000040000006---0.074--3.286%
2020-05-16T23:53:07mikrMSI400000015000000012---1.475--8.108%
2022-03-12T19:47:52Jocelyn LaroucheManual testing1000000134343300---1.020--7.007%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-06-03T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-05T22:53:00S485122USB-A260261--0.047--
2011-07-25T11:39:00Carsten KossendeyManual testing261263--0.398--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.606--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.154--
2015-06-24T21:57:00ThaManual testing265266--2.308--
2017-03-26T03:14:47Gordon SpenceManual testing266267--4.615--
2018-11-19T15:52:52TJAOIManual testing267268--9.231--
2021-02-02T07:19:20ViliamFManual testing268269--18.46--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.342 GHz-days
Estimated T-Level:1.400
DigitsB1CurvesCompleteFacMiss
201100028 / 1000.28075.472%
255000028 / 2800.10090.468%

New Calculation Method

Total ECM effort:3.342 GHz-days
Estimated T-Level:1.400
DigitsB1CompleteFacMiss
20110000.91040.256%
25500000.08292.103%
302500000.00599.494%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.590
50000500000030.353
50000645000030.399


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computersFC9FE78D283D7D__0.276


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-25T11:53:54Kiri
1889383616676583689743
5726502E20EE1395no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000, B2 = 2161483 (P-1 stage 2)
B1 = 400000, B2 = 1042383 (P-1 stage 2)
B1 = 200000, B2 = 4500000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-12T19:47:52+00:00