is 2 1837529 - 1
has 553152 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L53BE32159809A9A6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.437569.1176%18375291837529000.92428.0202%33.361771.5945%2.4768%
PrimeNet2570.010463.1579%80001500000.00122.8813%0.011764.2194%1.0615%
GPU722610.167265.5738%90001400000.00131.5959%0.168466.1232%0.5494%
Difference+7+32.2703+3.5439%+1828529+183612900+0.9229+6.4242%+33.1933+5.4713%+5.4713%

Known prime factors (2 factors, 152.5 bits, 0.00829853% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1837529148888690253520940719192373.6574051328992726671
32 × 31 × 383 × 37913557303
2020-02-25383379135573031,796.1162.49303.48
18375295377558699212280168039912478.831146325818509865155
5 × 7 × 53 × 103 × 557 × 1374942791
2021-04-30557137494279146,6915.892711.006

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1837529800657671487144166329403036249215714768022872946152.488
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-08T15:59:00Carsten Kossendeyleela1000001675000---0.015--2.211%
2014-05-19T21:00:00Jocelyn LaroucheManual testing134930134930---0.011--0.925%
2014-09-22T21:00:00Jocelyn LaroucheManual testing169860169860---0.013--1.050%
2015-07-02T21:01:00mikrMSI278000091760000---0.600--7.493%
2018-08-13T11:55:02Jocelyn Larouchelow 4M183752918375290012---0.924--8.020%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:54Mark RoseManual testing258260--0.063--
2010-04-16T12:29:00Architects Cubeda3_lm260261--0.084--
2016-02-23T16:28:54Mark RoseManual testing261262--0.167--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.869--
2016-02-23T16:28:54Mark RoseManual testing262263--0.534--
2015-04-26T21:13:00snme2pm1Manual testing263264--1.068--
2015-04-26T21:13:00snme2pm1Manual testing264265--2.033--
2015-09-05T13:49:00ramgeisManual testing265266--4.067--
2018-01-22T18:13:16TJAOIManual testing266267--8.133--
2019-06-17T12:14:59TJAOIManual testing267268--16.27--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.639 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.639 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.4240.022%
25500000.76346.646%
302500000.04795.398%
3510000000.00299.784%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001027.048
50000500000020.138
500006600000957.401
500006600000524.051


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00ANONYMOUSv4_computers53BE32159809A9A60.100
2015-07-10T01:00:00MadPooManual testing53BE32159809A9A60.100


PRP results:
dateuseridcompidcofactorsres64PRP
2020-02-26T07:38:55Christoph ZengerManual testing
14888869025352094071919
A211B5155A259976no
2020-02-29T02:42:43Luigi Morelli9800X
14888869025352094071919
A211B5155A259976no
2021-05-01T02:58:18LOBESGoogleCloud
14888869025352094071919
537755869921228016803991
A211B5155A259976no


P-1 factor-bounds graph:
B1 = 1837529, B2 = 183752900 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1837529 (P-1 stage 1)
B1 = 100000, B2 = 1675000 (P-1 stage 2)
B1 = 169860 (P-1 stage 1)
B1 = 134930 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-05-01T02:58:18+00:00