is 2 2670301 - 1
has 803841 decimal digits
takes 0.206 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LEDA3D35D03B5D531double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26944.709168.1159 %2000000500000000.51696.2979 %45.226070.1240 %
Target2630.597765.0794 %1300011000000.00811.6212 %0.605865.6455 %
Difference+6+44.1114+3.0366 %+1987000+48900000+0.5088+4.6767%+44.6202+4.4785 %

Known prime factors (1 factor, 80.0 bits, 0.00299632% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
267030112179167239684643591788172580.011228048584030127008
25 × 127 × 239 × 2903 × 80877691
2022-03-2029038087769191,7000.49380.9217

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-08ANONYMOUSv4_computers2048204800--0.0010.673%
2003-11-28Team Prime Ribv4_computers15000217500--0.0031.686%
2010-11-19JossManual testing2000020000--0.0020.631%
2010-12-09markrtiny10500022837506--0.0284.501%
2014-11-10JossManual testing129036129036--0.0161.885%
2016-06-10JossManual testing15193945675006--0.0485.451%
2016-12-18JossManual testing182326182326---2.211%
2017-01-10JossManual testing218791218791---2.394%
2017-03-07JossManual testing31505831505806--0.0585.476%
2018-08-29JossManual testing612082612082---3.577%
2018-08-30JossManual testing630116630116---3.614%
2018-09-03JossManual testing6301161260232---4.534%
2018-09-04JossManual testing6301161890348---5.076%
2018-09-07JossManual testing6301162520464--0.0905.461%
2019-11-19masserManual testing20000005000000012--0.57010.345%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-08-07ANONYMOUSv4_computers212590.014
2016-02-23Mark RoseManual testing2592600.029
2009-01-31Sturle Sundegoldiek.ifi2602610.058
2012-05-24Grant McCrackenthumper2612620.115
2013-01-14dbaughManual testing2622630.368
2015-02-23VictordeHollanderManual testing2632640.735
2015-02-23VictordeHollanderManual testing2642651.399
2016-01-25ramgeisManual testing2652662.798
2017-09-10Gordon SpenceManual testing2662675.597
2019-04-29TJAOIManual testing26726811.19
2021-06-07TJAOIManual testing26826922.39


ECM factoring results:
Total ECM effort:13.367 GHz-days
Estimated T-Level:22.333
DigitsB1CompleteFacMiss
20110005.0450.644%
25500000.46762.716%
302500000.02997.097%
3510000000.00199.862%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011511.63
50000500000010.101
50000665000070.805
50000675000070.832


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27ANONYMOUSv4_computersEDA3D35D03B5D5310.206
2018-07-23kkmrkkblmbrbkoldEDA3D35D03B5D5310.201


PRP results:
dateuseridcompidcofactorsres64
2022-03-20SRJ2877LTOS
1217916723968464359178817
D915047277993BBC


CERT results:
dateuseridcompid
2022-03-21Tom Kayserven0


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 630116, B2 = 2520464 (P-1 stage 2)
B1 = 630116, B2 = 1890348 (P-1 stage 2)
B1 = 630116, B2 = 1260232 (P-1 stage 2)
B1 = 630116 (P-1 stage 1)
B1 = 612082 (P-1 stage 1)
B1 = 315058, B2 = 3150580 (P-1 stage 2)
B1 = 151939, B2 = 4567500 (P-1 stage 2)
B1 = 315058 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 218791 (P-1 stage 1)
B1 = 182326 (P-1 stage 1)
B1 = 151939 (P-1 stage 1)
B1 = 129036 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
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268
267
266
265
264
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=22.33 ~= 58-bit
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Last modified: 2024-02-29T14:28:04+00:00