is 2 3126979 - 1
has 941315 decimal digits
takes 0.266 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
Actual26938.179668.1159%12000004515283503.17608.4040%41.355670.7955%
Target2641.138365.6250%150002400000.00341.5420%1.141666.1551%
Difference+5+37.0413+2.4909%+1185000+451288350+3.1726+6.8620%+40.2140+4.6404%

Known prime factors (3 factors, 128.8 bits, 0.00411768% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
312697914008865931030.384224
25 × 7
-32324.796e-113.949e-68.037e-6
3126979216449486391134.3333461
3461
2008-09-07134611.280e-92.339e-54.346e-5
3126979189904981664819280012064.0423036556716000
25 × 3 × 53 × 179 × 499 × 2833
2017-07-0349928331.66597.728e-50.0001

4 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-01-03Jocelyn LaroucheManual testing31269731269796-
skipped known factor: 1400886593
skipped known factor: 21644948639
skipped known factor: 18990498166481928001
--0.058--2.991%
2022-01-07Jocelyn LaroucheManual testing1050000116447100-
skipped known factor: 1400886593
skipped known factor: 21644948639
skipped known factor: 18990498166481928001
--0.905--6.874%
2022-09-04Jocelyn LaroucheManual testing1200000236513550-
skipped known factor: 1400886593
skipped known factor: 21644948639
skipped known factor: 18990498166481928001
--1.730--7.719%
2022-10-06Jocelyn LaroucheManual testing1200000451528350-
skipped known factor: 1400886593
skipped known factor: 21644948639
skipped known factor: 18990498166481928001
--3.176--8.404%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-07Will EdgingtonManual testing??34.333115.48300e-100.5901.21470e-9
2021-01-04Jocelyn LaroucheManual testing260261--0.049--
2021-01-05Jocelyn LaroucheManual testing261262--0.098--
2021-01-06Jocelyn LaroucheManual testing262263--0.314--
2021-01-09Jocelyn LaroucheManual testing263264--0.628--
2017-07-03TJAOIManual testing264265*64.042200.5280.5401.071
2021-01-14Jocelyn LaroucheManual testing264265
skipped known factors(?)
--1.195--
2022-12-09LordJuliusManual testing26426564.042200.5280.5401.071
2022-12-09LordJuliusManual testing264265
skipped known factors(?)
--1.195--
2022-03-20LordJuliusManual testing265266--2.390--
2022-03-20LordJuliusManual testing266267--4.780--
2021-07-18Jocelyn LaroucheManual testing267268--9.56--
2021-10-27Jocelyn LaroucheManual testing268269--19.12--


ECM factoring results:
Total ECM effort:0.351 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.351


Lucas-Lehmer results:
No L-L results for M3126979


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28alpertronManual testing
1400886593
21644948639
18990498166481928001
BA37AF5AFAAEC7__no
2017-11-18Oliver KruseThreadripper
1400886593
21644948639
18990498166481928001
BA37AF5AFAAEC7__no


P-1 factor-bounds graph:
B1 = 1200000, B2 = 451528350 (P-1 stage 2)
B1 = 1200000, B2 = 236513550 (P-1 stage 2)
B1 = 1050000, B2 = 116447100 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1050000 (P-1 stage 1)
B1 = 312697, B2 = 3126979 (P-1 stage 2)
B1 = 312697 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-09T06:07:21+00:00