is 2 1420109 - 1
has 427496 decimal digits
takes 0.054 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE8F26FCB1F7C6A09double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26720.923768.6567 %2500000625000000.31947.3911 %21.243170.9733 %
Target2600.108265.0000 %60004000000.00151.3017 %0.109765.4556 %
Difference+7+20.8155+3.6567 %+2494000+62100000+0.3179+6.0894%+21.1334+5.5177 %

Known prime factors (1 factor, 96.1 bits, 0.00676737% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1420109851483698684851928045750968412996.10429979519131448780623380
22 × 5 × 7 × 3701 × 57859881752902267
2016-08-103701578598817529022671.130e+10174,520,672325,956,015

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21Xyzzyv4_computers15000232500--0.0012.355%
2003-09-21Team Prime Ribv4_computers15000232500--0.0012.355%
2009-07-27markrlounge20000050000006--0.0307.174%
2014-11-10JossManual testing245197245197--0.0163.264%
2015-01-15JossManual testing367795367795--0.0243.802%
2015-02-15JossManual testing404574404574--0.0263.935%
2015-02-20JossManual testing445031445031--0.0294.070%
2015-03-07alpertronManual testing20000006000000012--0.33412.606%
2016-08-27Bruno VictalManual testing25000006250000012---12.805%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-20ANONYMOUSv4_computers212570.014
2003-07-13ANONYMOUSv4_computers212580.027
2016-02-23Mark RoseManual testing2582600.081
2009-02-16Sturle Sundegiovanni.ifi2602610.108
2016-02-23Mark RoseManual testing2612620.216
2011-04-05GrunwalderGIMPManual testing212631.124
2016-02-23Mark RoseManual testing2622630.691
2015-03-16snme2pm1Manual testing2632641.383
2015-03-16snme2pm1Manual testing2642652.631
2015-09-29ramgeisManual testing2652665.262


ECM factoring results:
Total ECM effort:29.289 GHz-days
Estimated T-Level:25.704
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025013.34
50000500000010.047
250000350000005015.90


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-19ANONYMOUSv4_computersE8F26FCB1F7C6A090.054
2016-06-02MadPooManual testingE8F26FCB1F7C6A090.063


PRP results:
dateuseridcompidcofactorsres64
2017-09-30Oliver KruseGTX-3
85148369868485192804575096841
A70F81692D718BAC
2017-10-26kkmrkkblmbrbkc4.xlarge
85148369868485192804575096841
A70F81692D718BAC


CERT results:
No CERT results for M1420109


P-1 factor-bounds graph:
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 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 445031 (P-1 stage 1)
B1 = 404574 (P-1 stage 1)
B1 = 367795 (P-1 stage 1)
B1 = 245197 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 15000, B2 = 232500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
TF factor-bounds graph:
266
265
264
263
262
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00