is 2 275827 - 1
has 83033 decimal digits
takes 0.002 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
Actualunknown1000001000000.001017.1938%0.001017.1938%17.1938%
PrimeNet2400.000052.5000%2800800000.000114.8715%0.000159.5639%7.0639%
GPU722440.000056.8182%50001300000.000110.8149%0.000161.4883%4.6701%
Difference-440.0000-56.8182%+95000-30000+0.0009+6.3789%+0.0009-44.2945%-44.2945%

Known prime factors (3 factors, 229.4 bits, 0.08316136% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
275827667630498751031445.924121023413
7 × 2917 × 5927
-291759272.624e-53.053e-55.882e-5
27582753011540181613945264895272582.1339609563273648690169
32 × 17 × 25841 × 2430540733553
2014-08-282584124305407335535,540,9731,312.12,450.6
275827317541164480063606423987122820931101.3255756165358722380449049352
23 × 29 × 65519 × 424667 × 891722042657
2020-05-204246678917220426576.514e+11481.39899.09

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27582735392121011011185743544292340238754628139128.057
27582721200016601580771738798469228711168066038052745147.249
27582716833346200151374739722828235553555831558980826665
467143
56183.457
27582711238455319255817989565459167645117475242313521854
85887833429300240729
70229.381
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-03T17:57:52Lisander ViaeneManual testing100000100000-
skipped known factor: 66763049875103
--0.001--11.649%


Trial Factoring results:
No TF results for M275827


ECM factoring results:

Old Calculation Method

Total ECM effort:9.436 GHz-days
Estimated T-Level:26.563
DigitsB1CurvesCompleteFacMiss
2011000481 / 1004.8100.795%
2550000481 / 2801.71817.890%
30250000200 / 6400.31373.144%

New Calculation Method

Total ECM effort:9.436 GHz-days
Estimated T-Level:26.563
DigitsB1CompleteFacMiss
201100025.7310.000%
25500003.2403.917%
302500000.31273.210%
3510000000.02497.623%
4030000000.00299.846%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.053
250000250000001846.721
2500002500000020.073
2500003425000070.287
2500003850000070.302


Lucas-Lehmer results:
No L-L results for M275827


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T10:43:25Oliver KruseOllaptop5941ABBE66E0B3__?
2017-09-22T20:35:48Oliver KruseManual testing5941ABBE66E0B3__?
2017-10-12T18:31:40Oliver KruseGTX-25941ABBE66E0B3__no
2017-11-06T14:30:48kkmrkkblmbrbkc4.xlarge
66763049875103
5301154018161394526489527
5941ABBE66E0B3__no
2020-04-17T21:14:14Oliver KruseAddPrpType5
66763049875103
5301154018161394526489527
46D39663AD18E7__no
2020-05-22T07:47:11Luigi Morelli9800X
66763049875103
5301154018161394526489527
3175411644800636064239871228209
46D39663AD18E770no
2020-05-22T13:41:49ANONYMOUSdory
66763049875103
5301154018161394526489527
3175411644800636064239871228209
46D39663AD18E770no


P-1 factor-bounds graph:
B1 = 100000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
240
250
260
270
280
290
2100
2110
Last modified: 2022-05-15T03:18:45+00:00