is 21214959-1
has 365,740 decimal digits
takes 0.037 GHz-days to do one L-L test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L21E08A46C1AD1D37double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2631.313666.6667%300,00010,000,0000.03686.2191%1.350572.8858%10.3858%
PrimeNet2560.007962.5000%5,00080,0000.00042.2758%0.008364.7758%2.2758%
GPU722600.126465.0000%5,00030,0000.00030.8281%0.126765.8281%0.8281%
Difference+3+1.1872+1.6667%+295,000+9,970,000+0.0366+5.3910%+1.2238+7.0577%+7.0577%

Known prime factors (2 factors, 228.9 bits, 0.01884277% known):
Remaining cofactor is not a probable-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
1214959160780967650926232374440915773731100.343661672400677414762039052
22 × 11 × 29 × 109 × 487 × 1483 × 6587122429493
1,4836.58712e+122018-09-071.122e+1115,95829,806
121495951183269842893859816396732840851307643939128.589210637848038056674407929538531141
7 × 491 × 2861 × 25733 × 102587 × 115757 × 216421 × 323899
216,421323,8992013-11-131.075e+110.00990.0196

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
121495982292956528789458590819517402816464663870349961016
8999689506689258543
69228.932
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-08-31T00:00:00Jocelyn Larouchev4_computers1,0001,000---4.44667e-5--0.017%
2002-11-16T00:00:00Jocelyn Larouchev4_computers10,00010,000---0.000--0.302%
2003-09-21T00:00:00Team Prime Ribv4_computers10,0001,000,000---0.003--1.860%
2013-11-13T23:13:00David Campeaui5-2500k300,00010,000,00039128.5890.0370.0750.0746.219%
2016-03-17T19:02:21alpertronManual testing300,00010,000,00012---0.037--6.219%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-10T00:00:00ANONYMOUSv4_computers?257--0.016--
2003-05-19T00:00:00ANONYMOUSv4_computers?258--0.032--
2009-02-15T13:54:00Sturle Sundegiacco.ifi260261--0.126--
2011-05-09T14:45:00XyzzyManual testing261262--0.253--
2012-10-11T11:56:00dbaughManual testing262263--0.808--


ECM factoring results:
ECM Summary

B1B2factorcurvesGHz-days
50,0005,000,0002127.832
50,0005,000,000692.549


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-08-10T00:00:00ANONYMOUSv4_computers21E08A46C1AD1D370.037


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T14:42:12Oliver KruseGTX-3
511832698428938598163967328408513076439
B768B45ECDCD9C__no
2017-10-18T03:28:17Oliver KruseThreadripper
511832698428938598163967328408513076439
B768B45ECDCD9C__no
2018-01-03T14:34:17ATHec2-8x
511832698428938598163967328408513076439
B768B45ECDCD9C__no
2018-09-08T12:58:55ANONYMOUSdory
1607809676509262323744409157737
511832698428938598163967328408513076439
2DE10B388D0A4E__no
2018-09-11T12:57:09Oliver KruseGTX-1
1607809676509262323744409157737
511832698428938598163967328408513076439
2DE10B388D0A4E__no


P-1 factor-bounds graph:
B1 = 300,000, B2 = 10,000,000 (stage 2)
B1 = 300,000 (stage 1)
B1 = 10,000, B2 = 1,000,000 (stage 2)
B1 = 10,000 (stage 1)
B1 = 1,000 (stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
263
262
261
258
257
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2018-09-11T12:57:09+00:00