is 2 150107 - 1
has 45187 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LAFFF70822C51B729double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267197.951673.1343%5000000000842410437228360212,613.531934.3572%212,811.483482.3646%
Target2440.000059.0909%26002500000.00017.1404%0.000162.0120%
Difference+23+197.9516+14.0434%+4999997400+842410436978360+212,613.5318+27.2167%+212,811.4834+20.3526%

Known prime factors (1 factor, 141.5 bits, 0.09425313% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
150107388943044709437306430346083031151770099768743141.48112955526548043639085130809456959094849
3 × 37 × 41 × 347 × 1097 × 10663 × 66037 × 325343 × 32644041333217
2023-05-18325343326440413332171.212e+128,238.115,386

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29ANONYMOUSv4_computers10000010000000---0.003--2.509%
2002-06-02ANONYMOUSv4_computers327683276800---0.001--1.415%
2002-07-20ANONYMOUSv4_computers655366553600---0.002--2.055%
2003-02-09ANONYMOUSv4_computers13107213107200---0.004--2.824%
2003-09-29ANONYMOUSv4_computers26214426214400---0.008--3.709%
2009-01-08axnManual testing5000000200000000---0.072--7.500%
2011-03-02Jocelyn LaroucheManual testing1000000010000000---0.046--4.118%
2013-05-16alpertronManual testing1000000002000000000---0.943--12.077%
2022-11-03Kevin_9611PI2500000102947494650---25.99--13.839%
2022-11-04Kevin_9611PI5000000152514712350---38.51--15.254%
2023-02-24Jocelyn LaroucheManual testing10001000250218308340---63.19--16.762%
2023-05-18mikrNitron500000000084241043722836043141.481212,6140.001425,22734.357%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-02-13masserManual testing40000000136000000027--0.629
2023-02-20masserManual testing40000000132000000016347--0.619
2023-03-04masserManual testing40000000136000000065--0.629


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21ANONYMOUSv4_computers252253--0.004--
2000-05-05ANONYMOUSv4_computers21254--0.016--
2022-03-07LordJuliusManual testing254255--0.016--
2001-01-08ANONYMOUSv4_computers21256--0.064--
2002-06-29ANONYMOUSv4_computers21257--0.128--
2016-02-23Mark RoseManual testing257258--0.128--
2009-01-01Sturle Sundegiovanni.ifi258259--0.256--
2009-01-24Sturle Sundegouffy.ifi259260--0.512--
2013-10-28lycornasteroid260261--1.023--
2015-08-14NRManual testing261262--2.046--
2016-02-06Gordon SpenceManual testing262263--6.540--
2016-02-06Gordon SpenceManual testing263264--13.08--
2017-04-09ConductorManual testing264265--24.89--
2019-12-22YxinityManual testing265266--49.78--
2022-05-11404_factor_not_foundManual testing266267--99.6--


ECM factoring results:
Total ECM effort:128.253 GHz-days
Estimated T-Level:35.609
DigitsB1CompleteFacMiss
2011000329.1970.000%
255000063.4010.000%
302500009.5580.007%
3510000001.18130.697%
4030000000.12288.526%
45110000000.01198.930%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002760.927
250000250000005859.83
10000001000000001,488100.0
30000003000000008717.53


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Brian J. BeesleysamsonAFFF70822C51B7290.000
2001-01-14ANONYMOUSv4_computersAFFF70822C51B7290.000


PRP results:
dateuseridcompidcofactorsres64PRP
2023-05-18mikrNitron
3889430447094373064303460830311517700997687
2E64B5F04713C89Ano


P-1 factor-bounds graph:
B1 = 5000000000, B2 = 842410437228360 (P-1 stage 2)
B1 = 10001000, B2 = 250218308340 (P-1 stage 2)
B1 = 5000000, B2 = 152514712350 (P-1 stage 2)
B1 = 2500000, B2 = 102947494650 (P-1 stage 2)
B1 = 5000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 10001000 (P-1 stage 1)
B1 = 10000000 (P-1 stage 1)
B1 = 5000000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
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109
1010
103
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109
1010
1011
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1014
1015
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=35.61 ~= 102-bit
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Last modified: 2023-09-25T11:53:03+00:00