is 2 2944709 - 1
has 886446 decimal digits
takes 0.251 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3E941E4ACFD1385Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26940.542868.1159%15000000104505841440704.424417.5759%744.967273.7199%5.6039%
PrimeNet2590.026162.7119%130002600000.00333.0726%0.029363.8576%1.1457%
GPU722630.542065.0794%170003000000.00401.9470%0.546065.7593%0.6799%
Difference+6+40.0008+3.0366%+14983000+104505541440+704.4204+15.6290%+744.4212+7.9606%+4.9240%

Known prime factors (2 factors, 231.0 bits, 0.00784411% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29447099774218371514639680963233832789.659165962381537779109599
557303 × 1135411 × 262280003
2022-11-06113541126228000373,161,2641.89603.2938
2944709349736297055958092646122375649825976619940943141.327593838469363115494003180578539044056
23 × 3 × 1289 × 4957 × 645083 × 4130977 × 8969647 × 162009889
2022-11-1289696471620098896.273e+102.13602.2528

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
294470934183989398698469804859903737867311341759283529235
28380688028127480647
70230.986
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.199%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.120%
2010-11-05T10:50:00markrtiny1050002310000---0.028--2.303%
2015-04-29T15:00:00VictordeHollanderManual testing100000020000000---0.251--5.055%
2022-11-06T00:20:04Jocelyn LaroucheManual testing120000033722188502789.65922.810.50145.6310.507%
2022-11-12T12:37:11riccardo ubertiXeon20C1500000010450584144043141.327704.40.5011,40917.576%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-11-14T16:09:19riccardo ubertiColab_noGPU14500000010000000027--1.564
2022-11-15T10:36:57riccardo ubertiColab_noGPU14575000012000000065--1.831


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:25Mark RoseManual testing21260--0.052--
2009-02-13T03:33:00Sturle Sundewright.ifi260261--0.052--
2011-12-24T02:39:00markroldgamer261262--0.104--
2013-01-07T13:49:00dbaughManual testing262263--0.333--
2015-04-27T09:54:00VictordeHollanderManual testing263264--0.667--
2015-04-27T09:54:00VictordeHollanderManual testing264265--1.269--
2016-02-24T09:33:38ramgeisManual testing265266--2.538--
2017-11-28T10:01:34Gordon SpenceManual testing266267--5.075--
2018-12-24T00:53:30chuenkitManual testing267268--10.15--
2021-05-19T10:49:31TJAOIManual testing268269--20.30--


ECM factoring results:
Total ECM effort:16.872 GHz-days
Estimated T-Level:22.473
DigitsB1CompleteFacMiss
20110005.3210.489%
25500000.49560.981%
302500000.03196.915%
3510000000.00199.853%


ECM Summary

B1B2factorcurvesGHz-days
5000050000009511.00
500006750000141.869
50000690000070.945
50000700000070.952
5000014400000102.109


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers3E941E4ACFD1385D0.251
2018-10-11T10:08:24kkmrkkblmbrbkold3E941E4ACFD1385D0.251


PRP results:
dateuseridcompidcofactorsres64PRP
2022-11-11T23:21:16riccardo ubertiColab_noGPU11
977421837151463968096323383
704FF202FC92C4__no
2022-11-12T16:17:58riccardo ubertiColab_noGPU11
977421837151463968096323383
3497362970559580926461223756498259766199409
704FF202FC92C4E3no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 104505841440 (P-1 stage 2)
B1 = 1200000, B2 = 3372218850 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2310000 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-11-15T10:36:57+00:00