is 2 155833 - 1
has 46911 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L88DAE6A7838940F3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267190.678073.1343%10000000020000000000.975512.1100%191.653476.3878%3.2534%
PrimeNet2400.000055.0000%1700360000.000010.9592%0.000059.9316%4.9316%
GPU722440.000059.0909%2800550000.00007.4611%0.000062.1432%3.0523%
Difference+23+190.6779+14.0434%+99997200+1999945000+0.9754+4.6489%+191.6534+14.2446%+14.2446%

Known prime factors (1 factor, 92.5 bits, 0.05937105% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
15583370990661975735655432454187832892.52022777801228153104744327
3 × 641 × 25229 × 4336613 × 108263437
2009-01-1143366131082634371.065e+100.04790.0528

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.003--2.524%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.425%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.068%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.839%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.727%
2016-12-10T20:34:44kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 7099066197573565543245418783
--0.975--12.110%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-04T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.015--
2022-03-07T03:53:59LordJuliusManual testing254255--0.015--
2001-01-08T00:00:00ANONYMOUSv4_computers21256--0.062--
2002-07-14T00:00:00ANONYMOUSv4_computers21257--0.123--
2022-03-07T03:53:59LordJuliusManual testing257258--0.123--
2008-12-30T18:18:00Sturle Sundegooch.ifi258259--0.246--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.213 GHz-days
Estimated T-Level:29.773
DigitsB1CurvesCompleteFacMiss
2011000887 / 1008.8700.013%
2550000887 / 2803.1684.186%
30250000611 / 6400.95538.465%
35100000012 / 15660.00899.236%

New Calculation Method

Total ECM effort:12.213 GHz-days
Estimated T-Level:29.773
DigitsB1CompleteFacMiss
201100067.0700.000%
25500009.8190.005%
302500001.05534.806%
3510000000.09091.438%
4030000000.00699.376%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002760.960
2500002500000059910.42
1000000100000000120.835


Lucas-Lehmer results:
No L-L results for M155833


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T23:26:16Oliver KruseOllaptop
7099066197573565543245418783
A78170D743DBA1__no
2017-09-22T10:03:04Oliver KruseManual testing
7099066197573565543245418783
A78170D743DBA1__no
2017-10-11T22:57:39kkmrkkblmbrbkc4.xlargeA78170D743DBA1__no
2020-04-17T15:48:40Oliver KruseAddPrpType5
7099066197573565543245418783
71C56640F3E78F__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T03:53:59+00:00