is 2 40841 - 1
has 12295 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-LE4B84FEAB09258D3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267727.551276.1194 %173552189885687645480366850320,784.392436.4414 %321,511.943584.8218 %
Target2440.000163.6364 %500500000.00001.9243 %0.000164.3361 %
Difference+23+727.5511+12.4830 %+17355218488+5687645480316850+320,784.3924+34.5171%+321,511.9435+20.4857 %

Known prime factors:
No known factors for M40841

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00121.386%
2001-08-18Alex Kruppav4_computers1000000100000000--0.00729.501%
2002-04-28ANONYMOUSv4_computers163841638400--0.00014.748%
2002-06-09ANONYMOUSv4_computers327683276800--0.00017.309%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00019.850%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00122.363%
2003-03-27ANONYMOUSv4_computers2621442621440030--0.00224.841%
2003-04-03ANONYMOUSv4_computers5242885242880048--0.00327.276%
2003-04-27ANONYMOUSv4_computers104857610485760048--0.00729.663%
2003-05-26ANONYMOUSv4_computers209715220971520012--0.01431.998%
2003-07-21ANONYMOUSv4_computers419430441943040012--0.02834.277%
2003-10-08ANONYMOUSv4_computers838860883886080012--0.05636.498%
2003-10-14ANONYMOUSv4_computers16777216167772160012--0.11138.659%
2012-05-29JossManual testing6300916163009161--0.06527.492%
2012-06-14alpertronManual testing100000000200000000012--0.21139.122%
2013-06-10BloodIceURM220000000005000000000012--4.77747.477%
2021-12-21Lisander ViaeneManual testing10000000001000000000--1.03534.663%
2022-05-16ATHManual testing5000000000500286198992580--38,98070.432%
2023-09-27One ManRyzen2600173552189885687645480366850--443,10775.309%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-03ATHcolab-Pp150000000010550000000027--6.590
2023-07-05masserManual testing170000000680000000015219--0.634
2023-08-17masserManual testing1700000003043000000065--1.940


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-21ANONYMOUSv4_computers2522530.015
2000-03-22ANONYMOUSv4_computers2532540.029
2000-08-31ANONYMOUSv4_computers212560.235
2002-11-16ANONYMOUSv4_computers212570.470
2016-02-23LaurVManual testing2572580.470
2009-01-04Sturle Sundeherrick.ifi2582590.940
2009-01-12Sturle Sundefizir.ifi2592601.880
2013-09-30Richard B. WoodsPuttputt2602613.761
2014-06-17Sid & AndyMrs_Potato_Head2612627.521
2016-08-23Sid & AndyBullseye26226324.04
2018-07-30YxinityYGSMainFrame26326448.07
2018-08-01YxinityManual testing263264
2019-10-09YxinityYGSMainFrame26426591.49
2019-10-09YxinityManual testing264265
2021-05-28Ruslan BorisovManual testing265266183.0


ECM factoring results:
Total ECM effort:10,382.622 GHz-days
Estimated T-Level:45.963
DigitsB1CompleteFacMiss
20110004,084.1670.000%
25500001,144.7630.000%
30250000290.3290.000%
35100000058.6860.000%
40300000010.0190.004%
45110000001.48022.753%
50440000000.19382.480%
551100000000.02397.768%
602600000000.00299.770%


ECM Summary

B1B2factorcurvesGHz-days
100000010000000010.014
30000003000000004,905219.1
11000000315186771906,20610,163


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11MadPooManual testingE4B84FEAB09258D32.91559e-5


PRP results:
No PRP results for M40841


CERT results:
No CERT results for M40841


P-1 factor-bounds graph:
B1 = 17355218988, B2 = 5687645480366850 (P-1 stage 2)
B1 = 5000000000, B2 = 500286198992580 (P-1 stage 2)
B1 = 17355218988 (P-1 stage 1)
B1 = 5000000000 (P-1 stage 1)
B1 = 2000000000, B2 = 50000000000 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 63009161 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 524288, B2 = 52428800 (P-1 stage 2)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 524288 (P-1 stage 1)
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 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (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=45.96 ~= 136-bit
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Last modified: 2024-03-13T02:15:48+00:00