is 2 107227 - 1
has 32279 decimal digits
takes 0.000 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
Actual267277.112374.6269%10000000020000000000.655811.7838%277.768077.6168%2.9899%
PrimeNet2400.000057.5000%1200200000.00008.4256%0.000061.0809%3.5809%
GPU722440.000061.3636%1500220000.00004.7491%0.000063.1985%1.8349%
Difference+23+277.1122+13.2632%+99998500+1999978000+0.6558+7.0347%+277.7680+14.4183%+14.4183%

Known prime factors (2 factors, 129.3 bits, 0.12055980% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1072275859564172779614811859.0242732317500620
22 × 5 × 17 × 8036227943
2008-01-101780362279431.01691.41082.6350
10722714030826929246332081672270.2496542581126603529
7 × 2593 × 360452929679
2011-01-0525933604529296793,198.263.280118.19

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
10722782214530789083226898754972556288061532739129.273
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-31T00:00:00ANONYMOUSv4_computers100000025000000---0.007--4.321%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.331%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.001--1.945%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.687%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.005--3.546%
2006-02-01T00:00:00Jocelyn Larouchev4_computers20000002000000---0.006--2.324%
2016-11-30T22:40:22kkmrkkblmbrbkManual testing100000000200000000012---0.656--11.784%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14T00:00:00ANONYMOUSv4_computers252253--0.006--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.022--
2000-12-14T00:00:00ANONYMOUSv4_computers21256--0.090--
2002-04-28T00:00:00ANONYMOUSv4_computers21257--0.179--
2018-10-26T13:44:04J.R. AllenManual testing21257--0.179--
2022-04-22T06:22:57LordJuliusManual testing21257--0.179--
2022-04-22T06:22:57LordJuliusManual testing257258--0.179--
2022-04-22T06:22:57LordJuliusManual testing258259--0.358--
2022-05-06T07:58:42LordJuliusManual testing25926059.024180.3010.0000.621
2022-05-06T07:58:42LordJuliusManual testing260261--1.432--
2022-05-06T07:58:42LordJuliusManual testing261262--2.865--
2022-05-06T07:58:42LordJuliusManual testing262263--9.155--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.787 GHz-days
Estimated T-Level:30.297
DigitsB1CurvesCompleteFacMiss
2011000946 / 1009.4600.007%
2550000946 / 2803.3793.389%
30250000683 / 6401.06734.369%
35100000093 / 15660.05994.232%

New Calculation Method

Total ECM effort:11.787 GHz-days
Estimated T-Level:30.297
DigitsB1CompleteFacMiss
201100079.2520.000%
255000012.3460.000%
302500001.45623.317%
3510000000.14086.921%
4030000000.01198.858%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002630.611
250000250000005906.854
1000000100000000934.322


Lucas-Lehmer results:
No L-L results for M107227


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T21:03:21Oliver KrusePRP
585956417277961481
1403082692924633208167
030A69C2E6BAB0BCno
2017-09-21T21:30:36Oliver KruseManual testing
585956417277961481
1403082692924633208167
030A69C2E6BAB0BCno
2017-10-09T02:18:11Chang Chia-Tchehomura030A69C2E6BAB0__?
2017-10-13T09:56:00kkmrkkblmbrbkManual testing
585956417277961481
1403082692924633208167
030A69C2E6BAB0__no
2020-04-17T15:28:13Oliver KruseAddPrpType5
585956417277961481
1403082692924633208167
A17A6D23839B89__no
2022-04-15T07:04:34LordJuliusWhiteBox
585956417277961481
1403082692924633208167
A17A6D23839B89F0no


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 = 2000000 (P-1 stage 1)
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: 2022-05-06T07:58:42+00:00