is 2 2129837 - 1
has 641145 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-LA2BED087A5013BC7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26956.054468.1159%25000001250000000.87467.2840%56.929170.4384%2.3224%
PrimeNet2580.018062.0690%90001600000.00162.6849%0.019763.0874%1.0184%
GPU722620.288564.5161%100001500000.00171.4861%0.290165.0435%0.5273%
Difference+7+55.7660+3.5998%+2490000+124850000+0.8730+5.7979%+56.6389+5.3949%+5.3949%

Known prime factors:
No known factors for M2129837

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.181%
2009-08-16T00:00:00harleev4_computers20000265000---0.003--0.759%
2010-10-25T20:56:00Oscar Östlin7501175011---0.007--0.576%
2010-11-25T04:56:00Oscar Östlin800001500000---0.015--1.855%
2013-11-13T18:49:00c10ck3rManual testing50000010000000---0.097--3.919%
2017-09-21T07:57:46mikrMSI250000012500000012---0.875--7.284%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
1999-04-23T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:06Mark RoseManual testing258260--0.054--
2009-01-04T19:43:00Sturle Sundecelair.ifi260261--0.072--
2012-04-13T22:14:00Sebastian HornbostelManual testing261262--0.144--
2013-02-21T00:57:00dbaughManual testing262263--0.461--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.922--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.754--
2015-12-27T16:49:11ramgeisManual testing265266--3.509--
2016-10-29T15:24:08Gordon SpenceManual testing266267--7.017--
2019-04-29T13:20:35TJAOIManual testing267268--14.03--
2021-08-05T09:27:30TJAOIManual testing268269--28.07--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.505 GHz-days
Estimated T-Level:23.732
DigitsB1CurvesCompleteFacMiss
2011000212 / 1002.12011.876%
2550000209 / 2800.74647.342%

New Calculation Method

Total ECM effort:18.505 GHz-days
Estimated T-Level:23.732
DigitsB1CompleteFacMiss
20110008.2170.027%
25500000.76046.754%
302500000.04895.313%
3510000000.00299.775%


ECM Summary

B1B2factorcurvesGHz-days
40000600000030.246
50000500000018715.94
50000675000070.682
500007000000141.389
766202417689010.246


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computersA2BED087A5013BC70.140
1999-04-23T00:00:00ANONYMOUSv4_computersA2BED087A5013BC70.140
2018-04-05T16:51:23kkmrkkblmbrbkoldA2BED087A5013BC70.140


PRP results:
No PRP results for M2129837


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 80000, B2 = 1500000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000, B2 = 265000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-08T04:21:40+00:00