is 2 101209 - 1
has 30467 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267293.589774.6269%100000000067366001102401,185.694225.4987%1,479.283981.0967%6.4698%
PrimeNet2400.000057.5000%1100190000.00008.0819%0.000060.9348%3.4348%
GPU722440.000061.3636%1200180000.00004.1584%0.000062.9703%1.6067%
Difference+23+293.5897+13.2632%+999998800+6736600092240+1,185.6942+21.3402%+1,479.2839+18.1264%+4.8631%

Known prime factors (2 factors, 90.9 bits, 0.08976644% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101209524667457928.9672592
25 × 34
-81815.516e-102.610e-75.312e-7
10120942580263331446774411961.88521035808738080
25 × 5 × 19 × 3191 × 2168497
2008-08-26319121684974.74320.00040.0007

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
10120922340478480500527260547375372890.852
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-02T22:05:59kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 524667457
skipped known factor: 4258026333144677441
--0.656--11.734%
2021-12-18T17:27:47Seth_TrManual testing10000000006736600110240-
skipped known factor: 524667457
skipped known factor: 4258026333144677441
--1,186--25.499%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2018-10-25T13:19:55J.R. AllenManual testing252257--0.184--
2022-04-13T17:48:16LordJuliusManual testing2125728.96795.51567e-100.0001.14465e-9
2018-11-02T23:29:51J.R. AllenManual testing257258--0.190--
2022-04-13T17:48:16LordJuliusManual testing257258--0.190--
2018-11-02T23:29:51J.R. AllenManual testing258259--0.379--
2022-04-13T17:48:16LordJuliusManual testing258259--0.379--
2018-11-02T23:29:51J.R. AllenManual testing259260--0.759--
2022-04-13T17:48:16LordJuliusManual testing259260--0.759--
2022-04-13T17:48:16LordJuliusManual testing260261--1.518--
2022-04-13T17:48:16LordJuliusManual testing26126261.885191.7080.0003.534


ECM factoring results:
Total ECM effort:12.597 GHz-days
Estimated T-Level:30.756
DigitsB1CompleteFacMiss
201100082.4900.000%
255000012.9390.000%
302500001.54521.330%
3510000000.15185.963%
4030000000.01398.746%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002810.652
250000250000005856.791
10000001000000001115.154


Lucas-Lehmer results:
No L-L results for M101209


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:55:24Oliver KruseOllaptop
524667457
4258026333144677441
150FEA90479621__no
2017-09-21T21:40:13Oliver KruseManual testing
524667457
4258026333144677441
150FEA90479621__no
2017-10-13T09:55:37kkmrkkblmbrbkManual testing
524667457
4258026333144677441
150FEA90479621__no
2020-04-17T15:29:08Oliver KruseAddPrpType5
524667457
4258026333144677441
9B8F0E1C06A690__no
2022-04-15T06:47:24LordJuliusWhiteBox
524667457
4258026333144677441
9B8F0E1C06A69080no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6736600110240 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-15T06:47:24+00:00