is 2 7169653 - 1
has 2158281 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-L2FF3AFA1658AD5D4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272133.386368.0556 %33000008474534250146.972211.1260 %280.358571.6097 %
Target2674.144465.6716 %4500050000000.09962.3089 %4.244066.4642 %
Difference+5+129.2419+2.3839 %+3255000+8469534250+146.8726+8.8171%+276.1145+5.1455 %

Known prime factors (1 factor, 73.7 bits, 0.00102856% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7169653158173682692827975955372373.7441103077671212456
23 × 19391 × 7110758027
2023-01-24193917110758027356.66122.50228.78

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-02-17ANONYMOUSv4_computers35000498750--0.0191.817%
2011-12-23James Heinrich3930K13500029362506--0.0913.645%
2022-05-21USAFSSUSAFSACS63000051030000--1.0677.488%
2023-01-24DRobinsonPE5600G3300000847453425022373.744176.015.598%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-06-14ANONYMOUSv4_computers212620.043
2004-04-09Sturle Sundev4_computers212630.137
2014-02-02NesowaManual testing2632640.274
2014-02-05lycornManual testing2642650.521
2015-06-21VictordeHollanderManual testing2652661.042
2016-10-25Gordon SpenceManual testing2662672.085
2018-07-28ramgeisManual testing2672684.169
2020-05-01TJAOIManual testing2682698.338
2021-08-20SRBaseManual testing26927016.68
2021-08-24SRBaseManual testing27027133.35
2021-10-10SRBaseManual testing27127266.71


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)
1999-07-12ANONYMOUSv4_computers2FF3AFA1658AD5D41.563
2002-03-03ANONYMOUSv4_computers2FF3AFA1658AD5D41.563


PRP results:
dateuseridcompidcofactorsres64
2023-01-29rucio
15817368269282797595537
2923FE31849BB793


CERT results:
dateuseridcompid
2023-01-29KishHPENVYDESKTOP


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 = 498750 (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
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00