is 2 3714631 - 1
has 1118216 decimal digits
takes 0.390 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDC050BFC505C0A09double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27064.326968.5714 %140000007000000007.823910.2457 %72.150871.7915 %
Target2640.958265.6250 %2200022500000.02182.1071 %0.980066.3493 %
Difference+6+63.3687+2.9464 %+13978000+697750000+7.8021+8.1386%+71.1708+5.4422 %

Known prime factors (1 factor, 88.9 bits, 0.00239366% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
37146315837441184739655137687573992788.91578573634699377342429
33 × 19 × 9781 × 1506059 × 10397627
2021-05-1615060591039762729,181,2930.30310.4668

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-06Carsten Kossendeymother20000265000--0.0051.778%
2012-12-11Squeeky_SquirrelT7500_2200245000771750012--0.0996.018%
2021-05-16axnManual testing1400000070000000022788.9157.82415.226%
2022-03-04JossManual testing9000090000--0.0141.459%
2022-03-22JossManual testing100000100000--0.0151.540%
2022-05-24JossManual testing100000130364850--1.3028.108%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1997-11-25ANONYMOUSv4_computers212600.021
2009-03-06S485122USB-A2602610.041
2011-04-20Grant McCrackenthumper2612620.083
2012-04-19GrunwalderGIMPManual testing212630.430
2016-02-23Mark RoseManual testing2622630.264
2015-01-22VictordeHollanderManual testing2632651.534
2016-02-23ramgeisManual testing2652662.012
2016-10-31Gordon SpenceManual testing2662674.023
2019-01-28TJAOIManual testing2672688.047
2020-12-14axnManual testing26826916.09
2021-03-07axnManual testing26927032.19


ECM factoring results:
Total ECM effort:1.642 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.642


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-04ANONYMOUSv4_computersDC050BFC505C0A090.390
1999-08-22Stephen Woodv4_computersDC050BFC505C0A090.390


PRP results:
dateuseridcompidcofactorsres64
2021-05-18kutenspbs1
583744118473965513768757399
9572F8040141032F


CERT results:
dateuseridcompid
2021-05-18Richard Thomasdjinn.pc


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 245000, B2 = 7717500 (P-1 stage 2)
B1 = 245000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 265000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
TF factor-bounds graph:
270
269
268
267
266
265
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=2.31 ~= -9-bit
250
260
270
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290
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Last modified: 2024-03-13T02:15:48+00:00