is 2 3267001 - 1
has 983466 decimal digits
takes 0.343 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L53B24893E8CABCA4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26936.543268.1159 %100000004000000004.75889.9078 %41.302071.2750 %
Target2641.089565.6250 %1700014000000.01411.6860 %1.103566.2046 %
Difference+5+35.4538+2.4909 %+9983000+398600000+4.7447+8.2218%+40.1985+5.0704 %

Known prime factors (1 factor, 73.1 bits, 0.00223743% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3267001100997455129054635020712373.0971545721215406035
3 × 5 × 19 × 23 × 235807965737
2021-07-0923235807965737585.501,956.53,654.3

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-08Carsten Kossendeymother15000191250--0.0041.454%
2011-09-17USAFSSP4_2600550008662506--0.0152.977%
2012-06-23c10ck3rManual testing10000003000000012--0.3938.584%
2020-11-11mikrMSI400000015000000012--1.56211.843%
2021-02-14axnManual testing10000000400000000--4.75913.956%
2022-02-12JossManual testing1000000119912100--1.13910.493%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-05-20David Campeauv4_computers212600.024
2009-04-03S485122USB-Z2602610.047
2011-07-02Rob_Deetwopc2612620.094
2012-09-03Richard B. WoodsPuttputt2622630.300
2012-09-07Richard B. WoodsPuttputt2632640.601
2013-10-18David CampeauManual testing2642651.144
2015-06-28ThaManual testing2652662.287
2017-04-04Gordon SpenceManual testing2662674.575
2018-12-17TJAOIManual testing2672689.149
2021-05-31TJAOIManual testing26826918.30


ECM factoring results:
Total ECM effort:6.365 GHz-days
Estimated T-Level:20.875
DigitsB1CompleteFacMiss
20110001.82916.056%
25500000.17583.945%
302500000.01198.858%


ECM Summary

B1B2factorcurvesGHz-days
500005000000364.604
50000680000030.435
50000680000010.145
800001128000051.182


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-07ANONYMOUSv4_computers53B24893E8CABCA40.343


PRP results:
dateuseridcompidcofactorsres64
2021-07-10kutenssol
10099745512905463502071
28E931FD0EAEEDE4


CERT results:
dateuseridcompid
2021-07-11Cameran430Main_PC


P-1 factor-bounds graph:
B1 = 10000000, B2 = 400000000 (P-1 stage 2)
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 55000, B2 = 866250 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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268
267
266
265
264
263
262
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260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=20.88 ~= 53-bit
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Last modified: 2024-02-09T03:30:02+00:00