is 216929421-1
has 5,096,264 decimal digits
takes 9.257 GHz-days to do one L-L test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L602393AE5A3D07D1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27014.114564.2857%289,0008,238,0000.57254.1235%14.687068.4092%6.8707%
PrimeNet2650.430961.5385%80,0002,400,0000.16364.5275%0.594666.0660%4.5275%
GPU722697.052063.7681%120,0003,200,0000.22823.2933%7.280267.0615%3.2933%
Difference+1+7.0625+0.5176%+169,000+5,038,000+0.3443+0.8301%+7.4068+1.3477%+1.3477%

Known prime factors (2 factors, 167.3 bits, 0.00098800% known):
Remaining cofactor is PRP status unknown

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
1692942174561398621147862805832272.659220212488723471
172 × 150001 × 5079839
150,0015,079,8392020-09-1769.8320.33190.4098
16929421300970061779311813551967358572994.604888896500888340521368
23 × 33 × 11 × 139 × 10937 × 124693 × 1973557
124,6931,973,5572020-09-17467,184,7680.17870.2012

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1692942122440748749358766939108185608116470244124733896463
1
51167.263
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-11-02T00:00:00ANONYMOUSv4_computers260,000260,000---0.206--1.461%
2020-09-17T13:06:56James Heinrich3930K289,0008,238,0001251167.2630.57318.511.1454.123%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-12-14T00:00:00ANONYMOUSv4_computers?256--0.001--
2000-12-31T00:00:00ANONYMOUSv4_computers?258--0.002--
2001-05-20T00:00:00Net_Forcev4_computers?259--0.002--
2002-01-02T00:00:00ANONYMOUSv4_computers?265--0.221--
2016-03-17T13:00:03Mark RoseManual testing265266--0.441--
2014-09-21T13:07:00NesowaManual testing266267--0.883--
2018-02-25T22:47:34ramgeisManual testing267268--1.766--
2018-02-25T22:47:34ramgeisManual testing268269--3.531--
2020-05-18T22:28:36lycornManual testing269270--7.062--


ECM factoring results:
ECM Summary

B1B2factorcurvesGHz-days
50,0005,000,00010.831


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-02-02T00:00:00ANONYMOUSv4_computers602393AE5A3D07D19.257
2006-09-11T00:00:00ebravickv4_computers602393AE5A3D07D19.257


PRP results:
Exponent "16929421" not found


P-1 factor-bounds graph:
B1 = 289,000, B2 = 8,238,000 (stage 2)
B1 = 289,000 (stage 1)
B1 = 260,000 (stage 1)
104
105
106
104
105
106
107
TF factor-bounds graph:
270
269
268
267
266
265
259
258
256
250
260
270
280
290
2100
Last modified: 2020-09-17T13:06:56+00:00