is 2 101429 - 1
has 30534 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ecm on 2023-05-29, 0.0% done, ETC 2023-05-29
0 primality tests remaining
ResidueStatus
L-L3CCDD3EF92E11A62double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268587.651275.0000%10000000000879161696813400154,372.186833.2615%154,959.838083.3154%
Target2440.000061.3636%1300180000.00004.2576%0.000063.0086%
Difference+24+587.6512+13.6364%+9999998700+879161696795400+154,372.1868+29.0040%+154,959.8380+20.3068%

Known prime factors:
No known factors for M101429

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers100000025000000---0.007--3.900%
2002-06-02ANONYMOUSv4_computers327683276800---0.001--1.143%
2002-07-20ANONYMOUSv4_computers655366553600---0.001--1.694%
2003-02-02ANONYMOUSv4_computers13107213107200---0.003--2.370%
2003-09-21ANONYMOUSv4_computers26214426214400---0.005--3.163%
2012-11-22alpertronManual testing1000000002000000000---0.656--11.011%
2016-12-04mikrS0523500000002550000000012---5.543--15.364%
2022-12-08Oliver Kruse5950X10000000000879161696813400---154,372--33.262%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-29Oliver KruseOllaptop50000000705000000027--1.449


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14ANONYMOUSv4_computers252253--0.006--
1999-12-30ANONYMOUSv4_computers253254--0.012--
2022-03-07LordJuliusManual testing254255--0.024--
2000-12-07ANONYMOUSv4_computers21256--0.095--
2000-12-14ANONYMOUSv4_computers21256--0.095--
2002-04-20ANONYMOUSv4_computers21257--0.189--
2016-02-23Mark RoseManual testing257258--0.189--
2009-01-06Sturle Sundeginglo.ifi258259--0.379--
2009-02-03monstkingslake259260--0.757--
2012-03-01Richard B. WoodsPuttputt260261--1.514--
2015-07-16NRManual testing261262--3.029--
2016-02-04monstedManual testing262263--9.68--
2016-02-17Gordon SpenceManual testing263264--19.36--
2018-02-18BloodERazorManual testing264265--36.84--
2019-05-15YxinityManual testing265266--73.67--
2020-01-23YxinityManual testing266267--147.3--
2022-04-15Gordon SpenceManual testing267268--294.7--


ECM factoring results:
Total ECM effort:263.457 GHz-days
Estimated T-Level:36.411
DigitsB1CompleteFacMiss
2011000486.3630.000%
2550000103.5400.000%
3025000017.5080.000%
3510000002.4258.846%
4030000000.28275.416%
45110000000.02997.185%
50440000000.00399.745%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.002
250000250000005846.780
10000001000000001,73180.38
3000000300000040.378
300000030000000054976.48
3000000570689029010499.44


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Robert Clark3CCDD3EF92E11A620.000
2016-06-01MadPooManual testing3CCDD3EF92E11A620.000


PRP results:
No PRP results for M101429


P-1 factor-bounds graph:
B1 = 10000000000, B2 = 879161696813400 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 350000000, B2 = 25500000000 (P-1 stage 2)
B1 = 350000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=36.41 ~= 104-bit
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Last modified: 2023-06-01T17:12:06+00:00