is 2 5049959 - 1
has 1520190 decimal digits
takes 0.700 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
Actual27194.669767.6056%6000000003603943959004,060.440220.9925%4,155.110074.4060%
Target2651.444764.6154%340007000000.01412.4201%1.458865.4717%
Difference+6+93.2250+2.9902%+599966000+360393695900+4,060.4261+18.5724%+4,153.6512+8.9343%

Known prime factors (9 factors, 377.0 bits, 0.00746508% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
504995910099919823.2681
1		-112.213e-132.010e-74.090e-7
504995927875773691031.376276
22 × 3 × 23		2008-09-084236.004e-111.012e-61.636e-6
504995929996756471031.482297
33 × 11		2008-09-0827276.029e-115.427e-61.104e-5
504995982516330071032.942817
19 × 43		2008-09-0819431.333e-104.082e-67.772e-6
5049959267546827831134.6392649
3 × 883		2008-09-0838837.131e-101.024e-51.803e-5
50499592344089968631237.77023209
23209		2008-09-081232093.711e-90.00030.0005
504995922652503723090491651.009224284036
22 × 7001 × 8009		2014-06-16700180097.889e-50.00140.0029
504995964064661495842231652.508634308729
3 × 4021 × 52583		2014-07-014021525830.00010.00130.0016
504995947976437722678664573326632581.989475018091460531309
3 × 6030187 × 26257786669		2021-10-15603018726257786669166,436288.68537.03

502 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-08-27alpertronManual testing30000000100000000012-
skipped known factor: 10099919
skipped known factor: 2787577369
skipped known factor: 2999675647
skipped known factor: 8251633007
skipped known factor: 26754682783
skipped known factor: 234408996863
skipped known factor: 2265250372309049
skipped known factor: 6406466149584223
--16.65--10.668%
2021-10-14Seth_TrManual testing200000000382000000002581.989456.31.400912.616.953%
2022-01-17Seth_TrManual testing600000000360076325070-
skipped known factor: 10099919
skipped known factor: 2787577369
skipped known factor: 2999675647
skipped known factor: 8251633007
skipped known factor: 26754682783
skipped known factor: 234408996863
skipped known factor: 2265250372309049
skipped known factor: 6406466149584223
skipped known factor: 4797643772267866457332663
--4,057--20.991%
2022-01-18Seth_TrManual testing600000000360394395900-
skipped known factor: 10099919
skipped known factor: 2787577369
skipped known factor: 2999675647
skipped known factor: 8251633007
skipped known factor: 26754682783
skipped known factor: 234408996863
skipped known factor: 2265250372309049
skipped known factor: 6406466149584223
skipped known factor: 4797643772267866457332663
--4,060--20.992%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08Will EdgingtonManual testing??37.770128.55402e-112.8593.49355e-10
2008-09-08Will EdgingtonManual testing??34.639112.59858e-102.8591.06129e-9
2008-09-08Will EdgingtonManual testing??31.376103.38433e-122.8591.38220e-11
2008-09-08Will EdgingtonManual testing??31.482103.64183e-122.8591.48736e-11
2008-09-08Will EdgingtonManual testing??32.942102.00362e-112.8598.18300e-11
2014-06-16TJAOIManual testing??51.009161.94923e-52.8597.96052e-5
2014-07-01Axon??52.508163.10899e-52.8590.000
2022-11-17LordJuliusManual testing2126323.26882.21340e-132.8599.03975e-13
2022-11-17LordJuliusManual testing2126351.009167.88949e-52.8590.000
2022-11-17LordJuliusManual testing2126337.770123.71119e-92.8591.51569e-8
2022-11-17LordJuliusManual testing2126361.038190.0692.7370.269
2022-11-17LordJuliusManual testing2126331.376106.00351e-112.8592.45189e-10
2022-11-17LordJuliusManual testing2126331.482106.02926e-112.8592.46241e-10
2022-11-17LordJuliusManual testing2126352.508160.0002.8590.001
2022-11-17LordJuliusManual testing2126332.942101.33338e-102.8595.44565e-10
2022-11-17LordJuliusManual testing2126334.639117.13064e-102.8592.91223e-9
2022-11-17LordJuliusManual testing2126357.907180.0062.8510.022
2022-11-17LordJuliusManual testing2126354.644170.0012.8580.003
2022-11-17LordJuliusManual testing2126354.750170.0012.8580.003
2022-11-17LordJuliusManual testing2126356.210170.0042.8550.015
2022-11-17LordJuliusManual testing2126362.859190.1902.5430.691
2022-11-17LordJuliusManual testing263264--0.389--
2022-11-17LordJuliusManual testing264265--0.740--
2022-11-17LordJuliusManual testing265266--1.480--
2021-08-06Seth_TrManual testing266267--2.960--
2021-08-06Seth_TrManual testing267268--5.919--
2019-12-10Seth_TrManual testing268269--11.84--
2019-12-15Seth_TrManual testing269270--23.68--
2019-12-31Seth_TrManual testing270271--47.35--


ECM factoring results:
Total ECM effort:226.972 GHz-days
Estimated T-Level:26.450
DigitsB1CompleteFacMiss
201100018.4880.000%
25500002.6836.837%
302500000.29074.825%
3510000000.02497.633%
4030000000.00299.838%


ECM Summary

B1B2factorcurvesGHz-days
150001500000201.265
5000050000006012.65
250000382247515066.56
25000038250000110146.5


Lucas-Lehmer results:
No L-L results for M5049959


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-07ATHec2-1xd
10099919
2787577369
2999675647
8251633007
26754682783
234408996863
2265250372309049
6406466149584223
F20E2FD6801440__no
2018-01-19kkmrkkblmbrbkc4.xlarge
10099919
2787577369
2999675647
8251633007
26754682783
234408996863
2265250372309049
6406466149584223
F20E2FD6801440__no
2021-10-16Seth_TrManual testing
10099919
2787577369
2999675647
8251633007
26754682783
234408996863
2265250372309049
6406466149584223
4797643772267866457332663
F20E2FD680144050no


P-1 factor-bounds graph:
B1 = 600000000, B2 = 360394395900 (P-1 stage 2)
B1 = 600000000, B2 = 360076325070 (P-1 stage 2)
B1 = 200000000, B2 = 38200000000 (P-1 stage 2)
B1 = 600000000 (P-1 stage 1)
B1 = 200000000 (P-1 stage 1)
B1 = 30000000, B2 = 1000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
100
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102
103
104
105
106
107
108
109
100
101
102
103
104
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107
108
109
1010
1011
1012
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
2
this exponent TF target: 65
TF double-checked to: 67.8
ECM T-Level=26.45 ~= 71-bit
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290
Last modified: 2023-04-26T21:34:10+00:00