is 2 2133277 - 1
has 642181 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L9F7A4D2B2AFB5DADdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271224.105169.0141%50000000250000000017.492811.4515%241.597972.5624%3.5484%
PrimeNet2580.018062.0690%90001700000.00172.7297%0.019763.1044%1.0354%
GPU722620.288064.5161%100001500000.00171.4866%0.289765.0436%0.5275%
Difference+9+223.8171+4.4980%+49990000+2499850000+17.4911+9.9649%+241.3082+7.5188%+7.5188%

Known prime factors:
No known factors for M2,133,277

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-01-12T23:59:00Jocelyn LaroucheManual testing5000050000---0.005--0.319%
2011-01-23T20:49:00James Heinrichi7-9201400003045000---0.028--1.958%
2016-06-30T03:31:21Jocelyn LaroucheManual testing210000609000012---0.051--2.492%
2017-08-30T00:32:09Jocelyn Larouche low 4MManual testing42000042000006---0.060--2.560%
2017-09-13T23:12:00Jocelyn Larouche low 4MManual testing50400050400006---0.072--2.742%
2017-09-30T13:25:36mikrMSI250000012500000012---0.875--6.160%
2021-05-13T19:13:15ViliamFManual testing500000002500000000---17.49--11.452%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-14T20:05:52ViliamF350000000615000000027--38.30
2021-05-18T12:07:47ViliamF350000000605000000065--37.79


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers?258--0.018--
2016-02-23T16:29:06Mark RoseManual testing258260--0.054--
2009-01-05T03:15:00Sturle Sundedietrich.ifi260261--0.072--
2012-04-15T08:48:00Sebastian HornbostelManual testing261262--0.144--
2013-09-07T11:35:00ramgeisManual testing262263--0.460--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.920--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.751--
2015-12-27T16:49:13ramgeisManual testing265266--3.503--
2016-10-29T15:24:09Gordon SpenceManual testing266267--7.006--
2019-04-29T13:20:34TJAOIManual testing267268--14.01--
2021-05-13T15:39:10ViliamFManual testing268269--28.02--
2021-05-13T15:39:10ViliamFManual testing269270--56.05--
2021-05-13T15:39:10ViliamFManual testing270271--112.1--


ECM factoring results:

Old Calculation Method

Total ECM effort:15.096 GHz-days
Estimated T-Level:23.054
DigitsB1CurvesCompleteFacMiss
2011000171 / 1001.71017.932%
2550000171 / 2800.61154.237%

New Calculation Method

Total ECM effort:15.096 GHz-days
Estimated T-Level:23.054
DigitsB1CompleteFacMiss
20110005.5740.380%
25500000.50460.420%
302500000.03196.940%
3510000000.00199.857%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.355
50000500000017014.50
766202417689010.246


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computers9F7A4D2B2AFB5DAD0.140
2018-04-06T02:59:52kkmrkkblmbrbkold9F7A4D2B2AFB5DAD0.140


PRP results:
Exponent "2133277" not found


P-1 factor-bounds graph:
B1 = 50000000, B2 = 2500000000 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 504000, B2 = 5040000 (P-1 stage 2)
B1 = 420000, B2 = 4200000 (P-1 stage 2)
B1 = 210000, B2 = 6090000 (P-1 stage 2)
B1 = 504000 (P-1 stage 1)
B1 = 420000 (P-1 stage 1)
B1 = 140000, B2 = 3045000 (P-1 stage 2)
B1 = 210000 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
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1010
TF factor-bounds graph:
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Last modified: 2021-05-18T12:07:47+00:00