is 2 1048361 - 1
has 315589 decimal digits
takes 0.031 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L002042790ED6604Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271456.024571.8310 %100000009300000002.58398.6808 %458.608474.2763 %
Target2600.146566.6667 %4500900000.00040.6174 %0.146966.8725 %
Difference+11+455.8780+5.1643 %+9995500+929910000+2.5835+8.0633%+458.4615+7.4038 %

Known prime factors (1 factor, 78.1 bits, 0.00744701% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10483613175876874149568935605592478.072151468667479502239
1321 × 114662125268359
2016-05-17132111466212526835958,393268,478501,442

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-22Jossv4_computers1000090000--0.0011.497%
2012-01-02bcp19Toshiba-740Q2000001000000012--0.0327.813%
2012-01-22bcp19Toshiba-740Q20000010000000012--0.24210.849%
2014-08-21JossManual testing261223261223--0.0113.199%
2014-10-18JossManual testing322446322446--0.0143.468%
2015-10-16Bruno Victal5820K.ECM5000001500000012--0.0579.123%
2016-03-26JossManual testing10857921085792---5.235%
2021-07-17ViliamF310000000930000000--2.67418.173%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-07-04ANONYMOUSv4_computers212560.009
2001-11-14ANONYMOUSv4_computers212570.018
2003-03-27ANONYMOUSv4_computers212580.037
2016-02-23Mark RoseManual testing2582600.110
2009-02-15Sturle Sundefoster.ifi2602610.147
2010-11-10Michael CManual testing2612620.293
2010-12-08Michael CManual testing2622630.936
2013-01-07dbaughManual testing2632641.873
2013-04-05Never Odd Or EvenManual testing2642653.564
2013-04-05Never Odd Or EvenManual testing2652667.128
2013-04-05Never Odd Or EvenManual testing26626714.26
2013-04-05Never Odd Or EvenManual testing26726828.51
2013-10-24Never Odd Or EvenManual testing26826957.02
2013-10-24Never Odd Or EvenManual testing269270114.0
2014-04-01Never Odd Or EvenManual testing270271228.1


ECM factoring results:
Total ECM effort:17.390 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002789.59
50000500000030.105
25000025000000447.694


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-09-21ANONYMOUSv4_computers002042790ED6604F0.031


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
317587687414956893560559
A3D74D9736105CEA
2017-10-15Oliver KruseThreadripper-PC
317587687414956893560559
A3D74D9736105CEA
2017-12-27ATHec2-1xh
317587687414956893560559
A3D74D9736105CEA


CERT results:
No CERT results for M1048361


P-1 factor-bounds graph:
B1 = 10000000, B2 = 930000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 200000, B2 = 100000000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1085792 (P-1 stage 1)
B1 = 200000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 322446 (P-1 stage 1)
B1 = 261223 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 10000, B2 = 90000 (P-1 stage 2)
B1 = 10000 (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=25.66 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00