is 2 457739 - 1
has 137794 decimal digits
takes 0.005 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
Actual2711,044.434373.2394%10000000001009340882550955.283020.2692%1,999.717278.6636%
Target2440.000056.8182%80002600000.000413.8676%0.000462.8065%
Difference+27+1,044.4343+16.4213%+999992000+1009340622550+955.2826+6.4016%+1,999.7169+15.8571%

Known prime factors (9 factors, 445.7 bits, 0.09737504% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
457739915479619.8041
1
-111.526e-131.708e-83.476e-8
4577398239303722.9749
32
2008-07-21991.223e-121.537e-73.128e-7
457739326825647928.284357
3 × 7 × 17
2008-07-217178.416e-111.288e-72.433e-7
4577394083626940711238.571446065
5 × 89213
2008-07-215892131.241e-78.309e-50.0002
4577397389482082171239.427807172
22 × 373 × 541
2008-07-213735412.740e-76.526e-61.296e-5
45773936055415236275431651.6793938425089
3 × 19 × 69095177
2014-07-0719690951770.00130.06430.1201
4577393359600307990436590558972478.153366977721801117732
22 × 3 × 2309 × 309313 × 42818983
2014-12-1130931342818983167,0840.04480.0744
45773911599600853100578218245192579.9401267054025667528681
32 × 112 × 31 × 2731 × 3347 × 4106087
2014-12-1133474106087452,7950.00390.0071
4577391435297529831896355476998972786.891156781214822409315732
22 × 35 × 11 × 4289 × 22571 × 151470559
2014-12-112257115147055935,214,8870.14130.2632

502 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2014-12-11alpertronManual testing30000001000000001274244.9840.1410.0110.2835.138%
2017-11-25ATHManual testing2000000001000000000012-
skipped known factor: 915479
skipped known factor: 8239303
skipped known factor: 326825647
skipped known factor: 408362694071
skipped known factor: 738948208217
skipped known factor: 3605541523627543
skipped known factor: 335960030799043659055897
skipped known factor: 1159960085310057821824519
skipped known factor: 143529752983189635547699897
--12.53--12.713%
2021-03-03Seth_TrManual testing26000000044460000000-
skipped known factor: 915479
skipped known factor: 8239303
skipped known factor: 326825647
skipped known factor: 408362694071
skipped known factor: 738948208217
skipped known factor: 3605541523627543
skipped known factor: 335960030799043659055897
skipped known factor: 1159960085310057821824519
skipped known factor: 143529752983189635547699897
--45.57--14.973%
2021-05-25Seth_TrManual testing1000000000211000000000-
skipped known factor: 915479
skipped known factor: 8239303
skipped known factor: 326825647
skipped known factor: 408362694071
skipped known factor: 738948208217
skipped known factor: 3605541523627543
skipped known factor: 335960030799043659055897
skipped known factor: 1159960085310057821824519
skipped known factor: 143529752983189635547699897
--212.5--17.950%
2021-12-20Seth_TrManual testing10000000001009340882550-
skipped known factor: 915479
skipped known factor: 8239303
skipped known factor: 326825647
skipped known factor: 408362694071
skipped known factor: 738948208217
skipped known factor: 3605541523627543
skipped known factor: 335960030799043659055897
skipped known factor: 1159960085310057821824519
skipped known factor: 143529752983189635547699897
--955.3--20.269%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-02nordisweet162000000002000000000027--23.25
2021-10-11nordisweet162000000002000000000065--23.25


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21J FeitsmaManual testing??28.28496.03687e-120.0111.24950e-11
2008-07-21J FeitsmaManual testing??38.571124.40688e-80.0119.12116e-8
2008-07-21J FeitsmaManual testing??39.427121.14008e-70.0112.35964e-7
2008-07-21J FeitsmaManual testing??22.97472.37797e-150.0114.92188e-15
2014-07-07TJAOIManual testing??51.679160.0010.0110.001
2022-11-16LordJuliusManual testing2125922.97471.22307e-120.0112.53149e-12
2022-11-16LordJuliusManual testing2125919.80461.52619e-130.0113.15888e-13
2022-11-16LordJuliusManual testing2125951.258160.0010.0110.002
2022-11-16LordJuliusManual testing2125948.088150.0000.0110.000
2022-11-16LordJuliusManual testing2125928.28498.41611e-110.0111.74195e-10
2022-11-16LordJuliusManual testing2125951.679160.0010.0110.003
2022-11-16LordJuliusManual testing2125958.375180.0900.0110.186
2022-11-16LordJuliusManual testing2125938.571121.24068e-70.0112.56790e-7
2022-11-16LordJuliusManual testing2125939.427122.74006e-70.0115.67117e-7
2022-11-16LordJuliusManual testing2125942.778131.79309e-60.0113.71046e-6
2022-11-16LordJuliusManual testing259260--0.168--
2022-11-16LordJuliusManual testing260261--0.336--
2022-11-16LordJuliusManual testing261262--0.671--
2022-11-16LordJuliusManual testing262263--2.145--
2017-11-01ATHManual testing252264--7.775--
2022-11-16LordJuliusManual testing263264--4.289--
2017-10-23Oliver KruseManual testing264265--8.163--
2017-11-01ATHManual testing265266--16.33--
2017-11-01ATHManual testing266267--32.65--
2017-11-01ATHManual testing267268--65.30--
2017-11-01ATHManual testing268269--130.6--
2017-11-01ATHManual testing269270--261.2--
2018-02-16KrieselManual testing270271--522.4--


ECM factoring results:
Total ECM effort:960.404 GHz-days
Estimated T-Level:36.198
DigitsB1CompleteFacMiss
2011000443.5140.000%
255000091.3920.000%
3025000015.0680.000%
3510000002.05912.755%
4030000000.24078.688%
45110000000.02497.623%
50440000000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
5000050000005487.065
60000600000050.077
2500002500000059038.03
10000001000000001,460376.5
3000000527672744150146.1
300000052787939510097.44
3000000528000000300292.3
11000000110000000012.837


Lucas-Lehmer results:
No L-L results for M457739


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-25Oliver KruseDoppelherz
915479
8239303
326825647
408362694071
738948208217
3605541523627543
335960030799043659055897
1159960085310057821824519
143529752983189635547699897
C6E834A8BB15229Ano
2017-09-27Oliver KruseManual testing
915479
8239303
326825647
408362694071
738948208217
3605541523627543
335960030799043659055897
1159960085310057821824519
143529752983189635547699897
C6E834A8BB1522__no
2017-10-18kkmrkkblmbrbkc4.xlarge
915479
8239303
326825647
408362694071
738948208217
3605541523627543
335960030799043659055897
1159960085310057821824519
143529752983189635547699897
C6E834A8BB1522__no
2020-04-18Oliver KruseAddPrpType5
915479
8239303
326825647
408362694071
738948208217
3605541523627543
335960030799043659055897
1159960085310057821824519
143529752983189635547699897
75A18462BB53E9__no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 1009340882550 (P-1 stage 2)
B1 = 1000000000, B2 = 211000000000 (P-1 stage 2)
B1 = 260000000, B2 = 44460000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 200000000, B2 = 10000000000 (P-1 stage 2)
B1 = 260000000 (P-1 stage 1)
B1 = 200000000 (P-1 stage 1)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
262
261
260
259
2
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=36.2 ~= 104-bit
250
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290
2100
2110
Last modified: 2023-03-25T13:08:14+00:00