is 2 7326743 - 1
has 2205570 decimal digits
takes 1.598 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L992483769EEA6C17double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272130.526468.0556 %500000104194545018.09847.0075 %148.624970.2941 %
Target2674.055565.6716 %4500050000000.09962.3171 %4.155166.4671 %
Difference+5+126.4709+2.3839 %+455000+1036945450+17.9988+4.6904%+144.4697+3.8270 %

Known prime factors (1 factor, 87.2 bits, 0.00119015% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
73267431776129578562530340870796872787.19912120867202265251701
3 × 43 × 134039 × 590741 × 1186631
2023-02-0959074111866315,241,7940.19700.3801

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers3500035000--0.0110.605%
2011-04-08James HeinrichQ660014000030100006--0.0943.696%
2022-01-28Oliver Kruse11700K5000001041945450--20.7810.713%
2023-02-09DRobinsonPE5600G3200000320000012787.1991.0124.621%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-11ANONYMOUSv4_computers212610.021
1998-07-29Mark Dv4_computers212630.134
2013-10-28NesowaManual testing2632640.268
2013-11-20David CampeauManual testing2642650.510
2015-06-21VictordeHollanderManual testing2652661.020
2016-10-04Gordon SpenceManual testing2662672.040
2018-08-05ramgeisManual testing2672684.080
2020-10-16mnd9Manual testing2682698.159
2021-08-19SRBaseManual testing26927016.32
2021-08-24SRBaseManual testing27027132.64
2021-09-30SRBaseManual testing27127265.28


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09ANONYMOUSv4_computers992483769EEA6C171.598
2002-01-15ANONYMOUSv4_computers992483769EEA6C171.598


PRP results:
dateuseridcompidcofactorsres64
2023-02-15Funky Waddlemain
177612957856253034087079687
3ABCC7B2964DDE22


CERT results:
dateuseridcompid
2023-02-16Massimo Cappelli (ik5pwa)maxlinux_6


P-1 factor-bounds graph:
B1 = 500000, B2 = 1041945450 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 140000, B2 = 3010000 (P-1 stage 2)
B1 = 140000 (P-1 stage 1)
B1 = 35000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
261
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
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290
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Last modified: 2024-03-13T02:15:48+00:00