is 2 299723 - 1
has 90226 decimal digits
takes 0.002 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
Actualunknown3500000169891885809.578347.6716%9.578347.6716%
Target2440.000056.8182%55001400000.000111.2419%0.000161.6726%
Difference-440.0000-56.8182%+3494500+16989048580+9.5781+36.4297%+9.5781-14.0011%

Known prime factors (1 factor, 46.6 bits, 0.01554129% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2997231052496017215211546.581175578120
23 × 32 × 5 × 487717
-94877176.012e-50.00030.0005

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06Lisander ViaeneManual testing5000050000---0.001--9.756%
2023-02-14USAFSS6917th_Scty_Sq350000016989188580-
skipped known factor: 105249601721521
--9.58--47.672%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-22nordisweet161000000050000000027--0.418
2021-04-28nordisweet161000000050000000065--0.418


Trial Factoring results:
No TF results for M299723


ECM factoring results:
Total ECM effort:14.694 GHz-days
Estimated T-Level:27.798
DigitsB1CompleteFacMiss
201100040.1010.000%
25500005.4970.410%
302500000.56057.140%
3510000000.04595.593%
4030000000.00399.702%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002912.219
250000250000001425.415
250000367500001607.060


Lucas-Lehmer results:
No L-L results for M299723


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseOllaptop
105249601721521
2E80A81C1649B9__no
2017-09-22Oliver KruseManual testing
105249601721521
2E80A81C1649B9__no
2017-10-12Oliver KruseGTX-22E80A81C1649B9__no
2017-11-06kkmrkkblmbrbkc4.xlarge
105249601721521
2E80A81C1649B9__no
2020-04-17Oliver KruseAddPrpType5
105249601721521
7FCC48AD71E2B6__no


P-1 factor-bounds graph:
B1 = 3500000, B2 = 16989188580 (P-1 stage 2)
B1 = 3500000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
100
101
102
103
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105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=27.8 ~= 76-bit
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280
Last modified: 2023-04-26T21:34:10+00:00