is 2 1821821 - 1
has 548423 decimal digits
takes 0.099 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCB31EB82C84359A2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.310068.6567%2780000917600000.60008.1257%16.910071.2036%2.5469%
PrimeNet2570.010563.1579%80001500000.00122.8767%0.011864.2177%1.0598%
GPU722610.168665.5738%90001300000.00121.5582%0.169866.1102%0.5364%
Difference+6+16.1414+3.0829%+2771000+91630000+0.5988+6.5675%+16.7402+5.0934%+5.0934%

Known prime factors (2 factors, 146.5 bits, 0.00803903% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
182182129536209209937535901032271.323810623250306631
810623250306631
2021-04-091810623250306631380.103,474,1296,488,705
1821821414505308952035277655832375.13411376126110963571
3 × 3792042036987857
2016-08-27337920420369878574,301.116,251,74430,353,732

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
182182112242915523837108115501062897627874805282504945146.457
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-10-02T06:40:00harleeP4_26001000001675000---0.015--2.490%
2014-05-19T21:00:00Jocelyn LaroucheManual testing135231135231---0.011--1.060%
2014-09-22T21:00:00Jocelyn LaroucheManual testing170462170462---0.013--1.200%
2015-06-02T21:26:00mikrMSI278000091760000---0.600--8.126%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:28:53Mark RoseManual testing21260--0.084--
2010-04-10T15:57:00Architects CubedManual testing260261--0.084--
2016-02-23T16:28:53Mark RoseManual testing261262--0.169--
2011-03-08T05:14:00GrunwalderGIMPManual testing21263--0.876--
2016-02-23T16:28:53Mark RoseManual testing262263--0.539--
2015-04-25T06:39:00snme2pm1Manual testing263264--1.078--
2015-04-25T06:39:00snme2pm1Manual testing264265--2.051--
2015-09-03T11:06:00ramgeisManual testing265266--4.102--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.216 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:19.216 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5750.019%
25500000.77745.986%
302500000.04895.308%
3510000000.00299.779%


ECM Summary

B1B2factorcurvesGHz-days
500005000000332.278
50000500000030.207
5000066000001027.937
5000066000001138.793


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10T00:00:00ANONYMOUSv4_computersCB31EB82C84359A20.099
2015-07-04T19:28:00MadPooManual testingCB31EB82C84359A20.099


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T23:33:07Oliver KruseGTX-1
41450530895203527765583
A8FC3796932FAF__no
2017-11-06T01:04:26ATHec2-1xf
41450530895203527765583
A8FC3796932FAF__no
2021-04-10T12:06:23XZTN4640G1
2953620920993753590103
41450530895203527765583
D9B294CCE60D1FA2no


P-1 factor-bounds graph:
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 100000, B2 = 1675000 (P-1 stage 2)
B1 = 170462 (P-1 stage 1)
B1 = 135231 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-04-10T12:06:23+00:00