is 2 1274227 - 1
has 383581 decimal digits
takes 0.040 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L158C74695F36A6CDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26723.319268.6567%1195000346550000.13876.2058%23.457970.6018%1.9451%
PrimeNet2560.007562.5000%5500900000.00052.4459%0.008063.4172%0.9172%
GPU722600.120565.0000%5500360000.00030.9307%0.120965.3257%0.3257%
Difference+7+23.1986+3.6567%+1189500+34619000+0.1384+5.2752%+23.3370+5.2761%+5.2761%

Known prime factors (1 factor, 78.4 bits, 0.00614943% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12742273872628015573759037024632478.358151959894727303653
3 × 47 × 1283 × 840007599251
2013-10-29128384000759925195,1802,103.33,928.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.240%
2013-10-07T16:33:00David Campeaui5-2500k119500034655000---0.139--6.206%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-04T00:00:00ANONYMOUSv4_computers21257--0.015--
2003-06-06T00:00:00ANONYMOUSv4_computers21258--0.030--
2003-06-17T00:00:00ANONYMOUSv4_computers21258--0.030--
2022-03-07T17:32:05LordJuliusManual testing258260--0.090--
2009-02-15T03:33:00Sturle Sundebuxtehude.ifi260261--0.121--
2012-09-15T18:40:00AxelssonManual testing261262--0.241--
2012-10-18T21:47:00dbaughManual testing262263--0.770--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.153 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000298 / 1002.9805.004%
2550000298 / 2801.06434.432%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:19.153 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.0840.000%
25500001.58720.458%
302500000.13387.509%
3510000000.00999.085%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002489.54
25000025000000509.62


Lucas-Lehmer results:
No L-L results for M1274227


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T21:38:25Oliver KruseGTX-3
387262801557375903702463
9D324F85A42EDA__no
2017-10-21T18:15:28kkmrkkblmbrbkc4.xlarge
387262801557375903702463
9D324F85A42EDA__no


P-1 factor-bounds graph:
B1 = 1195000, B2 = 34655000 (P-1 stage 2)
B1 = 1195000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
263
262
261
260
258
257
250
260
270
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290
2100
Last modified: 2022-03-07T17:32:05+00:00