is 2 140929 - 1
has 42424 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA90BE4968A7F14F9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267210.843273.1343 %100000000001178350201108080297,413.561935.3389 %297,624.405082.6284 %
Target2440.000059.0909 %24002250000.00016.7677 %0.000161.8595 %
Difference+23+210.8432+14.0434 %+9999997600+1178350200883080+297,413.5618+28.5712%+297,624.4050+20.7688 %

Known prime factors:
No known factors for M140929

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-11-25ANONYMOUSv4_computers100000025000000--0.01128.030%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00119.611%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00222.209%
2003-02-09ANONYMOUSv4_computers1310721310720030--0.00424.766%
2003-09-29ANONYMOUSv4_computers2621442621440012--0.00827.276%
2013-04-08alpertronManual testing100000000200000000012--0.94341.410%
2023-01-17JossManual testing1000000109206107010--28.5248.062%
2023-02-17JossManual testing1000000417553095960--109.050.588%
2023-09-23JossJoss1000000909642063330--331.451.988%
2023-10-25JossJoss8717658109206107010--28.5651.163%
2023-10-28Oliver Kruse5950X100000000001178350201108080--307,75874.123%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-04-18masserManual testing50000000405000000027--1.388
2023-04-20masserManual testing50000000305000000012959--1.132
2023-05-09masserManual testing50000000250000000065--0.991


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-07ANONYMOUSv4_computers2522530.004
2000-04-27ANONYMOUSv4_computers212540.017
2022-03-07LordJuliusManual testing254255
2000-12-31ANONYMOUSv4_computers212560.068
2002-06-29ANONYMOUSv4_computers212570.136
2016-02-23Mark RoseManual testing2572580.136
2008-12-30Sturle Sundeginglo.ifi2582590.272
2009-01-25Sturle Sundegraun.ifi2592600.545
2013-09-16lycornasteroid2602611.090
2015-08-14NRManual testing2612622.180
2016-02-13Gordon SpenceManual testing26226420.90
2018-04-16BloodERazorManual testing26426526.51
2018-04-28Gordon SpenceManual testing264265
2019-08-09YxinityManual testing26526653.02
2022-02-19LordJuliusManual testing266267106.1


ECM factoring results:
Total ECM effort:136.228 GHz-days
Estimated T-Level:35.643
DigitsB1CompleteFacMiss
2011000340.2740.000%
255000065.8510.000%
302500009.9760.005%
3510000001.23928.973%
4030000000.12987.941%
45110000000.01198.865%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002650.804
250000250000005859.66
10000001000000001,539104.8
300000030000000010220.95


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-11-15ANONYMOUSv4_computersA90BE4968A7F14F90.000


PRP results:
No PRP results for M140929


CERT results:
No CERT results for M140929


P-1 factor-bounds graph:
B1 = 10000000000, B2 = 1178350201108080 (P-1 stage 2)
B1 = 1000000, B2 = 909642063330 (P-1 stage 2)
B1 = 1000000, B2 = 417553095960 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 8717658, B2 = 109206107010 (P-1 stage 2)
B1 = 1000000, B2 = 109206107010 (P-1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 8717658 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (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 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=35.64 ~= 102-bit
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Last modified: 2024-03-13T02:15:48+00:00