is 2 119233 - 1
has 35893 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L71C7B89039C8B07Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267249.208874.6269%10000000020000000000.770511.8758%249.979477.6401%3.0133%
PrimeNet2400.000057.5000%1300240000.00009.1227%0.000061.3771%3.8771%
GPU722440.000061.3636%1900320000.00005.7039%0.000063.5674%2.2038%
Difference+23+249.2088+13.2632%+99998100+1999968000+0.7705+6.1719%+249.9793+14.0727%+14.0727%

Known prime factors (1 factor, 116.8 bits, 0.09795082% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11923314361669681394122459152553411190609736116.790602252299338023972354656572056
23 × 19 × 29 × 163 × 838203126688263353237639
2014-04-111638382031266882633532376391.090e+121.729e+143.229e+14

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-03-05T00:00:00ANONYMOUSv4_computers100000025000000---0.009--4.376%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.357%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--1.979%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.730%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.006--3.597%
2013-01-21T11:17:00alpertronManual testing1000000002000000000---0.771--11.876%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14T00:00:00ANONYMOUSv4_computers252253--0.005--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.020--
2022-03-07T03:13:11LordJuliusManual testing254255--0.020--
2000-12-21T00:00:00ANONYMOUSv4_computers21256--0.081--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.081--
2002-05-25T00:00:00ANONYMOUSv4_computers21257--0.161--
2022-03-07T03:13:11LordJuliusManual testing257258--0.161--
2009-01-08T00:11:00Sturle Sundegiasha.ifi258259--0.322--
2009-01-26T02:25:00Sturle Sundenardi.ifi259260--0.644--
2013-11-28T06:21:00LaurVManual testing260261--1.288--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.540 GHz-days
Estimated T-Level:30.201
DigitsB1CurvesCompleteFacMiss
2011000707 / 1007.0700.082%
2550000707 / 2802.5257.970%
30250000642 / 6401.00336.644%
35100000063 / 15660.04096.056%

New Calculation Method

Total ECM effort:11.540 GHz-days
Estimated T-Level:30.201
DigitsB1CompleteFacMiss
201100065.6360.000%
255000010.4860.003%
302500001.24028.944%
3510000000.11788.924%
4030000000.00999.070%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000650.178
250000250000005797.916
1000000100000000633.445


Lucas-Lehmer results:
No L-L results for M119233


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T21:24:43Oliver KruseOliver-PC
143616696813941224591525534111906097
0AF0D3358D6556__no
2017-09-21T21:57:13Oliver KruseManual testing
143616696813941224591525534111906097
0AF0D3358D6556__no
2017-10-13T11:40:13kkmrkkblmbrbkManual testing
143616696813941224591525534111906097
0AF0D3358D6556__no
2020-04-17T15:36:37Oliver KruseAddPrpType5
143616696813941224591525534111906097
792D99EBD4EF57__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T03:13:11+00:00