is 2 1441259 - 1
has 433863 decimal digits
takes 0.055 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA6953E9AF2DA2B41double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26841.356169.1176 %16300000108150020550327.062217.8949 %368.418474.6440 %
Target2600.106665.0000 %60004500000.00171.3554 %0.108265.4744 %
Difference+8+41.2496+4.1176 %+16294000+108149570550+327.0606+16.5395%+368.3101+9.1696 %

Known prime factors:
No known factors for M1441259

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-29Team Prime Ribv4_computers15000243750--0.0022.392%
2010-05-17Rob_Deetwopc100000200000--0.0072.974%
2010-05-18Rob_Deetwopc20000010000006--0.0165.072%
2010-05-19Rob_Deetwopc20000020000006--0.0195.976%
2010-05-20Rob_Deetwopc20000030000006--0.0236.509%
2010-05-21Rob_Deetwopc20000040000006--0.0266.890%
2010-05-22Rob_Deetwopc20000050000006--0.0307.187%
2014-11-14JossManual testing244533244533--0.0163.268%
2015-01-27JossManual testing325472325472--0.0213.643%
2015-01-30JossManual testing358019358019--0.0233.773%
2015-02-13JossManual testing393820393820--0.0263.905%
2015-02-25JossManual testing476522476522--0.0314.176%
2015-03-03JossManual testing524174524174--0.0344.315%
2015-03-10JossManual testing576591576591--0.0374.456%
2015-04-08JossManual testing767442767442--0.0504.893%
2015-05-01JossManual testing928604928604--0.0605.194%
2015-05-03alpertronManual testing20000006000000012--0.33412.622%
2016-08-20Bruno Victal5820K.ECM25000006250000012--0.31912.821%
2016-08-27Bruno VictalManual testing25000006250000012---12.821%
2018-05-31JossManual testing144125914412590012--0.59713.876%
2018-10-15JossManual testing144125915853849012--0.64814.033%
2022-12-21JossManual testing14412591529215380--5.77917.692%
2023-03-04JossManual testing14412594511289510--16.8719.378%
2023-07-04JossJoss144125910475509590--39.0420.665%
2023-10-06Sid & AndyMagic_8_Ball16300000108150020550--403.127.377%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-13ANONYMOUSv4_computers212570.013
2003-07-21ANONYMOUSv4_computers212580.027
2016-02-23Mark RoseManual testing2582600.080
2010-05-11Architects Cubeda3_bu22602610.107
2011-05-07GrunwalderGIMPManual testing212631.107
2016-02-23Mark RoseManual testing2612630.894
2015-03-22snme2pm1Manual testing2632653.955
2015-09-15ramgeisManual testing2652665.185
2018-04-09TJAOIManual testing26626710.37
2020-05-04YxinityManual testing26726820.74


ECM factoring results:
Total ECM effort:29.223 GHz-days
Estimated T-Level:25.704
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025113.27
250000350000005015.95


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-02David Campeauv4_computersA6953E9AF2DA2B410.055
2015-07-19MadPooManual testingA6953E9AF2DA2B410.064


PRP results:
No PRP results for M1441259


CERT results:
No CERT results for M1441259


P-1 factor-bounds graph:
B1 = 16300000, B2 = 108150020550 (P-1 stage 2)
B1 = 1441259, B2 = 10475509590 (P-1 stage 2)
B1 = 1441259, B2 = 4511289510 (P-1 stage 2)
B1 = 1441259, B2 = 1529215380 (P-1 stage 2)
B1 = 16300000 (P-1 stage 1)
B1 = 1441259, B2 = 158538490 (P-1 stage 2)
B1 = 1441259, B2 = 144125900 (P-1 stage 2)
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 1441259 (P-1 stage 1)
B1 = 928604 (P-1 stage 1)
B1 = 767442 (P-1 stage 1)
B1 = 576591 (P-1 stage 1)
B1 = 524174 (P-1 stage 1)
B1 = 476522 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 200000, B2 = 4000000 (P-1 stage 2)
B1 = 393820 (P-1 stage 1)
B1 = 358019 (P-1 stage 1)
B1 = 200000, B2 = 3000000 (P-1 stage 2)
B1 = 325472 (P-1 stage 1)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 244533 (P-1 stage 1)
B1 = 200000, B2 = 1000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 243750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00