is 2 7166371 - 1
has 2157293 decimal digits
takes 1.563 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L489196DD024C9FACdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272133.447468.0556 %33000008474534250146.972211.1256 %280.419671.6096 %
Target2674.146365.6716 %4500050000000.09962.3087 %4.245966.4642 %
Difference+5+129.3011+2.3839 %+3255000+8469534250+146.8726+8.8169%+276.1737+5.1454 %

Known prime factors (1 factor, 83.0 bits, 0.00115811% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
716637196330989084378038748240812582.994672104396244473240
23 × 5 × 401 × 10067 × 4162289693
2023-01-21100674162289693174,54271.704133.92

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-11-24ANONYMOUSv4_computers35000245000--0.0151.469%
2011-12-19James Heinrich3930K13500029362506--0.0913.644%
2022-05-16USAFSSUSAFSACS63000051030000--1.0677.487%
2023-01-21DRobinsonPE5600G3300000847453425022582.994176.015.597%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-06-07ANONYMOUSv4_computers212620.043
2001-11-17ANONYMOUSv4_computers212630.137
2014-02-02NesowaManual testing2632640.274
2014-02-05lycornManual testing2642650.521
2015-06-21VictordeHollanderManual testing2652661.043
2016-10-25Gordon SpenceManual testing2662672.086
2018-07-28ramgeisManual testing2672684.171
2020-05-01TJAOIManual testing2682698.342
2021-08-19SRBaseManual testing26927016.68
2021-08-31SRBaseManual testing27027133.37
2021-09-30SRBaseManual testing27127266.74


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)
1999-04-13ANONYMOUSv4_computers0DE8200FAC0E331F1.563
1999-07-04Brap_Onv4_computers489196DD024C9FAC1.563
2002-01-08ANONYMOUSv4_computers489196DD024C9FAC1.563


PRP results:
dateuseridcompidcofactorsres64
2023-01-26rucio
9633098908437803874824081
5BD5D5CBAA72AC26


CERT results:
dateuseridcompid
2023-01-26theojkdarkgames


P-1 factor-bounds graph:
B1 = 3300000, B2 = 8474534250 (P-1 stage 2)
B1 = 630000, B2 = 51030000 (P-1 stage 2)
B1 = 3300000 (P-1 stage 1)
B1 = 630000 (P-1 stage 1)
B1 = 135000, B2 = 2936250 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 35000, B2 = 245000 (P-1 stage 2)
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
262
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
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270
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290
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Last modified: 2024-03-13T02:15:48+00:00