is 2 1945003 - 1
has 585505 decimal digits
takes 0.106 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26715.277168.6567%500000150000000.10155.1059%15.378570.2571%1.6004%
PrimeNet2580.019763.7931%80001400000.00122.4655%0.020964.6858%0.8927%
GPU722620.315966.1290%8000900000.00101.1525%0.316866.5194%0.3904%
Difference+5+14.9612+2.5277%+492000+14910000+0.1005+3.9534%+15.0617+3.7377%+3.7377%

Known prime factors (2 factors, 109.1 bits, 0.00560935% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1945003104563361291133.2842688
27 × 3 × 7
-1281289.307e-101.007e-52.049e-5
1945003666167723389677993689772375.81817125107863321496
23 × 3 × 2207831 × 323188759
2020-11-0822078313231887594,884.51.54932.5870

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
194500369656736340531683510945760687003333109.102
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:42:24alpertronManual testing5000001500000012-
skipped known factor: 10456336129
--0.101--5.106%


Trial Factoring results:
No TF results for M1945003


ECM factoring results:

Old Calculation Method

Total ECM effort:20.973 GHz-days
Estimated T-Level:24.571
DigitsB1CurvesCompleteFacMiss
2011000256 / 1002.5607.631%
2550000256 / 2800.91440.015%

New Calculation Method

Total ECM effort:20.973 GHz-days
Estimated T-Level:24.571
DigitsB1CompleteFacMiss
20110009.0450.012%
25500000.80344.798%
302500000.05095.142%
3510000000.00299.771%


ECM Summary

B1B2factorcurvesGHz-days
50000500000040.278
50000500000050.348
500005514919141.014
50000560000070.510
500006750000141.111
50000750000021217.71


Lucas-Lehmer results:
No L-L results for M1945003


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T04:19:55Oliver KruseGTX-3
10456336129
A31E402849D930__no
2017-11-11T11:43:48kkmrkkblmbrbkold
10456336129
A31E402849D930__no
2020-11-08T03:34:59Ethan O'ConnorHighland2020
10456336129
66616772338967799368977
D552FCB5A9A26AC8no
2020-11-08T10:23:39riccardo ubertiColab_noGPU12
10456336129
66616772338967799368977
D552FCB5A9A26AC8no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
230
240
250
260
270
280
290
2100
Last modified: 2022-04-14T10:51:03+00:00