is 2 250013 - 1
has 75262 decimal digits
takes 0.001 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-daysProbability
Actual267118.849573.1343%100000000020360195657802090,259.915731.5133%90,378.765281.6006%
Target2440.000059.0909%45001100000.000110.1603%0.000163.2474%
Difference+23+118.8495+14.0434%+999995500+203601956468020+90,259.9156+21.3530%+90,378.7651+18.3532%

Known prime factors (2 factors, 207.5 bits, 0.08300799% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
250013305864184110571444.79861169656
23 × 241 × 31727
-241317271.111e-51.592e-52.626e-5
250013971523347339166878739953710072071189496014602387349162.73319429456615039355528311601998137520638847072
25 × 3798437 × 23948299 × 228899863 × 667633643 × 43676449913
2022-02-02667633643436764499136.864e+1124.49736.161

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-05-26ViliamF3500000007050000000-
skipped known factor: 30586418411057
--3.510--14.121%
2021-05-26gLaussManual testing150000001290000000-
skipped known factor: 30586418411057
--0.687--10.957%
2021-08-16Oliver KruseOllaptop30000000300000000024-
skipped known factor: 30586418411057
--1.561--12.568%
2022-02-02Anton RepkoManual testing100000000020360195657802049162.73390,2600.003180,52031.513%
2022-04-19Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 30586418411057
--4,486--23.417%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-26gLaussManual testing750000059250000027--0.347


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2022-11-20LordJuliusManual testing2125944.798141.11107e-50.0032.30878e-5
2022-11-20LordJuliusManual testing259260--0.307--
2022-11-20LordJuliusManual testing260261--0.614--
2022-11-20LordJuliusManual testing261262--1.229--
2022-11-20LordJuliusManual testing262263--3.926--
2022-11-20LordJuliusManual testing263264--7.853--
2022-11-20LordJuliusManual testing264265--14.94--
2022-11-20LordJuliusManual testing265266--29.89--
2022-11-20LordJuliusManual testing266267--59.78--


ECM factoring results:
Total ECM effort:15.233 GHz-days
Estimated T-Level:28.177
DigitsB1CompleteFacMiss
201100043.2530.000%
25500006.0890.227%
302500000.63552.969%
3510000000.05294.927%
4030000000.00399.652%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.680
250000250000002046.098
25000038356542140.493
2500001250000001006.962


Lucas-Lehmer results:
No L-L results for M250013


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseDoppelherz
30586418411057
865DF4B2050F16__no
2017-09-22Oliver KruseManual testing
30586418411057
865DF4B2050F16__no
2017-09-22Oliver KruseManual testing
30586418411057
865DF4B2050F16__no
2017-11-06kkmrkkblmbrbkc4.xlarge
30586418411057
865DF4B2050F16__no
2020-04-17Oliver KruseAddPrpType5
30586418411057
65DEFE362A8060__no
2022-02-02Anton Repkotethys
30586418411057
9715233473391668787399537100720711894960146023873
65DEFE362A80601Cno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 203601956578020 (P-1 stage 2)
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 50000000, B2 = 7050000000 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 15000000, B2 = 1290000000 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
B1 = 30000000 (P-1 stage 1)
B1 = 15000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-11-20T18:50:20+00:00