is 2 1663589 - 1
has 500791 decimal digits
takes 0.078 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBD03F33EAA95A467double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26835.829169.1176%250000006117074964002,275.903320.8414%2,311.732475.5540%
Target2610.184665.5738%70004000000.00191.2058%0.186665.9889%
Difference+7+35.6444+3.5439%+24993000+611707096400+2,275.9014+19.6356%+2,311.5458+9.5651%

Known prime factors (1 factor, 146.6 bits, 0.00881336% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
166358913690877347184821363525533997712732150739841745146.61841148617077850422681099520367448727272
23 × 7 × 17 × 19 × 59 × 2663 × 165601 × 215981 × 6103627 × 66324659411		2022-12-176103627663246594111.027e+11246.98460.56

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-02-29AxonManual testing100000100000---0.007--0.762%
2012-02-29AxonManual testing200000200000---0.014--1.126%
2012-02-29AxonManual testing300000300000---0.020--1.381%
2012-02-29AxonManual testing400000400000---0.027--1.581%
2012-02-29AxonManual testing500000500000---0.034--1.748%
2012-02-29AxonManual testing600000600000---0.041--1.892%
2012-02-29AxonManual testing700000700000---0.048--2.018%
2012-02-29AxonManual testing800000800000---0.055--2.131%
2012-02-29AxonManual testing900000900000---0.061--2.234%
2012-02-29AxonManual testing10000001000000---0.068--2.329%
2012-03-01AxonManual testing10000008000000---0.094--4.296%
2012-03-01AxonManual testing100000020000000---0.139--5.192%
2018-01-20Jocelyn Larouchelow 4M16635892000000012---0.182--5.432%
2018-02-04Jocelyn Larouchelow 4M16635894000000012---0.256--6.181%
2018-02-21Jocelyn Larouchelow 4M16635898000000012---0.405--6.940%
2018-05-29VictordeHollanderManual testing1000000020000000012---1.389--9.091%
2022-12-17Naegi Makoto5950X2500000061170749640045146.6182,2760.1574,55220.841%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-14ANONYMOUSv4_computers21257--0.012--
2003-04-27ANONYMOUSv4_computers21258--0.023--
2016-02-23Mark RoseManual testing258260--0.069--
2010-04-26Architects Cubedi4l_1260261--0.092--
2016-02-23Mark RoseManual testing261262--0.185--
2010-08-22GrunwalderGIMPManual testing21263--0.959--
2016-02-23Mark RoseManual testing262263--0.590--
2015-05-10omylistManual testing263264--1.180--
2015-05-12monstManual testing264265--2.246--
2015-10-11ramgeisManual testing265266--4.492--
2017-10-06TJAOIManual testing266267--8.984--
2019-08-06TJAOIManual testing267268--17.97--


ECM factoring results:
Total ECM effort:32.719 GHz-days
Estimated T-Level:25.698
DigitsB1CompleteFacMiss
201100015.1690.000%
25500001.68418.564%
302500000.14086.967%
3510000000.00999.062%


ECM Summary

B1B2factorcurvesGHz-days
50000500000028016.61
250000400000004416.11


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01George WoltmanBD03F33EAA95A4670.078
1998-12-13ANONYMOUSv4_computersBD03F33EAA95A4670.078
2015-07-10MadPooManual testingBD03F33EAA95A4670.078


PRP results:
dateuseridcompidcofactorsres64PRP
2022-12-17Naegi Makoto5950X
136908773471848213635255339977127321507398417
22B9317B2986A153no


P-1 factor-bounds graph:
B1 = 25000000, B2 = 611707496400 (P-1 stage 2)
B1 = 25000000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1663589, B2 = 80000000 (P-1 stage 2)
B1 = 1663589, B2 = 40000000 (P-1 stage 2)
B1 = 1663589, B2 = 20000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1663589 (P-1 stage 1)
B1 = 1000000, B2 = 8000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 900000 (P-1 stage 1)
B1 = 800000 (P-1 stage 1)
B1 = 700000 (P-1 stage 1)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
104
105
106
107
108
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
257
this exponent TF target: 61
TF double-checked to: 67.9
ECM T-Level=25.7 ~= 69-bit
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Last modified: 2023-09-25T11:53:03+00:00