is 2 2075833 - 1
has 624888 decimal digits
takes 0.136 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7199C4DC8422DBD2double-checked
PRP6958739FDAD00F0Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26957.512769.5652%40000002000000001.39948.1084%58.912172.0330%2.4678%
PrimeNet2580.018563.7931%90001600000.00162.6719%0.020164.7605%0.9674%
GPU722620.296066.1290%90001300000.00151.3672%0.297466.5921%0.4631%
Difference+7+57.2168+3.4362%+3991000+199870000+1.3979+6.7413%+58.6147+5.4409%+5.4409%

Known prime factors (1 factor, 71.7 bits, 0.00345590% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
207583339401677320163349423032271.739949057012779047
949057012779047
2021-10-051949057012779047373.284,929,6399,207,194

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.179%
2009-07-25T10:51:00harleeP4_260020000260000---0.003--0.751%
2010-12-28T02:15:00Jocelyn LaroucheManual testing3000030000---0.003--0.296%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.435%
2011-01-20T18:42:00James HeinrichQ66001350003071250---0.028--2.455%
2014-11-10T23:29:00Jocelyn LaroucheManual testing165920165920---0.016--0.925%
2015-01-29T22:02:00Jocelyn LaroucheManual testing207400207400---0.020--1.044%
2015-01-30T21:42:00Jocelyn LaroucheManual testing228140228140---0.022--1.098%
2015-01-31T14:55:00Jocelyn LaroucheManual testing250954250954---0.024--1.153%
2015-02-11T12:22:00Jocelyn LaroucheManual testing404160404160---0.039--1.456%
2015-02-14T12:30:00Jocelyn LaroucheManual testing537936537936---0.051--1.659%
2015-02-16T20:56:00Jocelyn LaroucheManual testing591729591729---0.056--1.730%
2015-02-25T03:47:00Jocelyn LaroucheManual testing650901650901---0.062--1.802%
2015-03-03T20:46:00Jocelyn LaroucheManual testing715991715991---0.068--1.877%
2015-03-12T10:39:00Jocelyn LaroucheManual testing787590787590---0.075--1.953%
2015-03-15T18:55:00Jocelyn LaroucheManual testing866349866349---0.083--2.031%
2015-04-08T16:59:00Jocelyn LaroucheManual testing10482811048281---0.100--2.192%
2015-05-01T17:21:00Jocelyn LaroucheManual testing12684191268419---0.121--2.360%
2015-05-07T16:19:00Jocelyn LaroucheManual testing13952601395260---0.133--2.446%
2015-05-22T00:29:00Jocelyn LaroucheManual testing15347861534786---0.146--2.535%
2015-05-26T18:17:00Jocelyn LaroucheManual testing16882641688264---0.161--2.624%
2015-06-08T13:43:00Jocelyn LaroucheManual testing18570901857090---0.177--2.716%
2015-06-25T21:15:00Jocelyn LaroucheManual testing20427992042799---0.195--2.809%
2015-07-07T18:13:00Jocelyn LaroucheManual testing22470782247078---0.214--2.905%
2016-07-07T00:37:33Jocelyn LaroucheManual testing224707844941566---0.226--3.626%
2016-09-24T23:31:24Jocelyn Larouchelow 4M224707889883126---0.249--4.354%
2018-02-23T11:35:54Jocelyn Larouchelow 4M225707845141566---0.227--3.631%
2018-09-28T10:10:34Jocelyn Larouchelow 4M22570782075833012---0.311--5.246%
2019-09-10T06:33:08mikrMSI400000020000000012---1.399--8.108%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:04Mark RoseManual testing258260--0.055--
2009-01-03T04:00:00Sturle Sundehomilius.ifi260261--0.074--
2012-03-16T19:47:00Sebastian HornbostelManual testing261262--0.148--
2013-09-01T20:21:00ramgeisManual testing262263--0.473--
2015-03-28T18:03:00VictordeHollanderManual testing263264--0.946--
2015-03-28T18:03:00VictordeHollanderManual testing264265--1.800--
2015-10-21T19:11:16omylistManual testing265266--3.600--
2016-09-10T20:44:41Gordon SpenceManual testing266267--7.200--
2019-03-29T01:44:37chuenkitManual testing267268--14.40--
2021-07-29T11:14:33TJAOIManual testing268269--28.80--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.069 GHz-days
Estimated T-Level:23.536
DigitsB1CurvesCompleteFacMiss
2011000198 / 1001.98013.670%
2550000198 / 2800.70749.243%

New Calculation Method

Total ECM effort:17.069 GHz-days
Estimated T-Level:23.536
DigitsB1CompleteFacMiss
20110006.4260.162%
25500000.58255.866%
302500000.03696.469%
3510000000.00299.835%


ECM Summary

B1B2factorcurvesGHz-days
50000500000018315.55
50000500000070.595
50000675000070.680
766202417689010.244


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computers7199C4DC8422DBD20.136
2017-05-31T01:25:33kkmrkkblmbrbkc4.large7199C4DC8422DBD20.136


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-07T21:30:15GANLMS-11
3940167732016334942303
6958739FDAD00F0Fno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 2257078, B2 = 20758330 (P-1 stage 2)
B1 = 2247078, B2 = 8988312 (P-1 stage 2)
B1 = 2257078, B2 = 4514156 (P-1 stage 2)
B1 = 2247078, B2 = 4494156 (P-1 stage 2)
B1 = 2257078 (P-1 stage 1)
B1 = 2247078 (P-1 stage 1)
B1 = 2042799 (P-1 stage 1)
B1 = 1857090 (P-1 stage 1)
B1 = 1688264 (P-1 stage 1)
B1 = 1534786 (P-1 stage 1)
B1 = 1395260 (P-1 stage 1)
B1 = 1268419 (P-1 stage 1)
B1 = 1048281 (P-1 stage 1)
B1 = 866349 (P-1 stage 1)
B1 = 787590 (P-1 stage 1)
B1 = 715991 (P-1 stage 1)
B1 = 650901 (P-1 stage 1)
B1 = 591729 (P-1 stage 1)
B1 = 537936 (P-1 stage 1)
B1 = 404160 (P-1 stage 1)
B1 = 135000, B2 = 3071250 (P-1 stage 2)
B1 = 250954 (P-1 stage 1)
B1 = 228140 (P-1 stage 1)
B1 = 207400 (P-1 stage 1)
B1 = 165920 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
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: 2021-10-07T21:30:15+00:00