is 2 1772609 - 1
has 533609 decimal digits
takes 0.096 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L17D8DBA78CC3BE49double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26833.625569.1176 %1772609266078736011.535311.0134 %45.160872.5189 %
Target2610.173365.5738 %80006000000.00321.4548 %0.176566.0746 %
Difference+7+33.4522+3.5439 %+1764609+2660187360+11.5321+9.5586%+44.9844+6.4442 %

Known prime factors (1 factor, 84.2 bits, 0.00474827% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1772609217352781393188647867613772684.1686130872104146730832
24 × 3 × 29 × 1381 × 3089 × 1032455719
2023-02-25308910324557194,110,4484.42518.2644

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-02-10Carsten Kossendeymother9500016150006--0.0144.851%
2014-04-10ANONYMOUSManual testing100000100000--0.0082.025%
2014-05-09JossManual testing136209136209--0.0112.337%
2014-09-18JossManual testing172418172418--0.0142.592%
2015-05-16mikrMSI24754008666000012--0.55612.679%
2018-07-05JossManual testing177260917726090012--0.89213.632%
2018-10-19JossManual testing177260919498699012--0.96813.787%
2023-01-07JossManual testing1772609915734820--4.91616.256%
2023-02-25JossManual testing1772609266078736022684.16813.9817.915%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-08-03masserManual testing16000005760000017513--0.427


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-25ANONYMOUSv4_computers212580.022
2010-04-20Architects Cubedm1_tt2602610.087
2010-12-13GrunwalderGIMPManual testing212630.900
2016-02-23Mark RoseManual testing2582630.792
2015-05-01snme2pm1Manual testing2632653.215
2015-09-11ramgeisManual testing2652664.216
2018-06-04TJAOIManual testing2662678.431
2019-07-15TJAOIManual testing26726816.86


ECM factoring results:
Total ECM effort:36.390 GHz-days
Estimated T-Level:25.674
DigitsB1CompleteFacMiss
201100014.3230.000%
25500001.60620.076%
302500000.13587.398%
3510000000.00999.085%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025817.65
250000400000004418.74


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07ANONYMOUSv4_computers17D8DBA78CC3BE490.096
2015-07-10MadPooManual testing17D8DBA78CC3BE490.096


PRP results:
dateuseridcompidcofactorsres64
2023-02-26LordJuliusWhitebox
21735278139318864786761377
939D25AEC0E42C05


CERT results:
dateuseridcompid
2023-02-26Richard Thomasdjinn.pc


P-1 factor-bounds graph:
B1 = 1772609, B2 = 2660787360 (P-1 stage 2)
B1 = 1772609, B2 = 915734820 (P-1 stage 2)
B1 = 1772609, B2 = 194986990 (P-1 stage 2)
B1 = 1772609, B2 = 177260900 (P-1 stage 2)
B1 = 2475400, B2 = 86660000 (P-1 stage 2)
B1 = 2475400 (P-1 stage 1)
B1 = 1772609 (P-1 stage 1)
B1 = 95000, B2 = 1615000 (P-1 stage 2)
B1 = 172418 (P-1 stage 1)
B1 = 136209 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
263
261
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.67 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00