is 2 42433 - 1
has 12774 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-LC56727625F37DD56double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267700.254976.1194%500000000050028619899258028,219.645632.0110%28,919.900683.7638%
Target2440.000163.6364%500500000.00001.9457%0.000164.3439%
Difference+23+700.2549+12.4830%+4999999500+500286198942580+28,219.6456+30.0653%+28,919.9005+19.4199%

Known prime factors:
No known factors for M42433

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29ANONYMOUSv4_computers10000010000000---0.001--2.061%
2001-08-18Alex Kruppav4_computers1000000100000000---0.007--4.948%
2002-04-28ANONYMOUSv4_computers163841638400---0.000--0.701%
2002-06-09ANONYMOUSv4_computers327683276800---0.000--1.120%
2002-07-20ANONYMOUSv4_computers655366553600---0.000--1.666%
2003-02-02ANONYMOUSv4_computers13107213107200---0.001--2.338%
2003-03-27ANONYMOUSv4_computers26214426214400---0.002--3.127%
2003-04-03ANONYMOUSv4_computers52428852428800---0.003--4.024%
2003-04-27ANONYMOUSv4_computers1048576104857600---0.007--5.019%
2003-05-26ANONYMOUSv4_computers2097152209715200---0.014--6.106%
2003-07-21ANONYMOUSv4_computers4194304419430400---0.028--7.278%
2003-10-08ANONYMOUSv4_computers8388608838860800---0.056--8.527%
2003-10-14ANONYMOUSv4_computers167772161677721600---0.111--9.833%
2011-07-19Jocelyn LaroucheManual testing1998707919987079---0.021--4.358%
2012-02-17Jocelyn LaroucheManual testing2498384824983848---0.026--4.629%
2012-05-15Jocelyn LaroucheManual testing5996123759961237---0.062--5.769%
2012-06-16alpertronManual testing1000000002000000000---0.211--10.998%
2016-05-16Jocelyn LaroucheManual testing200000000360000000012---0.399--12.118%
2019-03-26alexManual testing10000000005000000000012---3.799--16.864%
2022-07-06ATHManual testing5000000000500286198992580---28,220--32.011%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-09-25masserManual testing25000007250000013741--0.008
2022-09-25masserManual testing500000020500000065--0.019
2022-09-25masserManual testing1000000048000000027--0.042
2023-08-06masserManual testing160000000286400000009437--1.826


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21ANONYMOUSv4_computers252253--0.014--
2000-03-22ANONYMOUSv4_computers21254--0.057--
2000-10-28ANONYMOUSv4_computers21256--0.226--
2002-11-16ANONYMOUSv4_computers21257--0.452--
2016-02-23LaurVManual testing257258--0.452--
2009-01-10Sturle Sundeherrick.ifi258259--0.905--
2009-02-09Sturle Sundegibsy.ifi259260--1.810--
2013-11-28LaurVManual testing260261--3.620--
2014-07-16Sid & AndyMrs_Potato_Head261262--7.239--
2016-09-24Sid & AndyBullseye262263--23.13--
2018-06-12YxinityElena263264--46.27--
2018-06-17YxinityManual testing263264--46.27--
2019-09-30YxinityYGSMainFrame264265--88.05--
2019-09-30YxinityManual testing264265--88.05--
2021-06-06Ruslan BorisovManual testing265266--176.1--


ECM factoring results:
Total ECM effort:11,690.964 GHz-days
Estimated T-Level:45.869
DigitsB1CompleteFacMiss
20110003,594.1670.000%
25500001,017.5570.000%
30250000258.9560.000%
35100000052.5680.000%
4030000009.0010.012%
45110000001.33426.355%
50440000000.17484.039%
551100000000.02097.980%
602600000000.00299.791%


ECM Summary

B1B2factorcurvesGHz-days
100000010000000010.015
30000003000000004,180186.8
11000000315186771905,1168,378
200000001571344074304003,126


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01George WoltmanC56727625F37DD563.02924e-5
2015-04-11MadPooManual testingC56727625F37DD563.02924e-5


PRP results:
No PRP results for M42433


P-1 factor-bounds graph:
B1 = 5000000000, B2 = 500286198992580 (P-1 stage 2)
B1 = 5000000000 (P-1 stage 1)
B1 = 1000000000, B2 = 50000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 200000000, B2 = 3600000000 (P-1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 59961237 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 24983848 (P-1 stage 1)
B1 = 19987079 (P-1 stage 1)
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: 67.9
ECM T-Level=45.87 ~= 136-bit
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Last modified: 2023-10-02T12:12:48+00:00