is 2 774217 - 1
has 233063 decimal digits
takes 0.015 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9801195A7C1888__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26738.379370.1493%500000150000000.03744.5654%38.416771.5121%1.3628%
PrimeNet2400.000050.0000%70003000000.000722.2345%0.000761.1172%11.1172%
GPU722440.000054.5455%130005000000.001117.0560%0.001162.2982%7.7527%
Difference+23+38.3793+15.6038%+487000+14500000+0.0362-12.4906%+38.4155+9.2139%+9.2139%

Known prime factors (1 factor, 60.6 bits, 0.00782137% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
77421716930834519841298311960.5541093416607995
3 × 5 × 72894440533
2008-01-175728944405330.2918115.01214.81

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-02-11T00:00:00ANONYMOUSv4_computers650001800000---0.005--2.016%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.899%
2002-12-09T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.673%
2003-07-13T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.575%
unknown50000015000000---0.037--4.565%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-09-29T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.025--
2003-10-08T00:00:00ANONYMOUSv4_computers21258--0.050--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.339 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000322 / 1003.2203.931%
2550000322 / 2801.15031.599%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.339 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002786.330
25000025000000445.009


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-07-17T00:00:00ANONYMOUSv4_computers9801195A7C1888__0.015


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T23:44:58Oliver KruseGTX-3
1693083451984129831
F02C24CB58D158__no
2017-10-13T19:48:37Oliver KruseThreadripperF02C24CB58D158__no
2017-12-17T20:27:43ATHec2-1xf
1693083451984129831
F02C24CB58D158__no
2020-04-21T02:08:34Oliver KruseAddPrpType5
1693083451984129831
395BBB6EA432B8__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 65000, B2 = 1800000 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65537 (P-1 stage 1)
B1 = 65000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
258
257
256
255
250
260
270
280
290
2100
Last modified: 2020-04-21T02:08:34+00:00