is 2 278819 - 1
has 83933 decimal digits
takes 0.002 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
Actual267106.570671.6418%1000001000000.00100.6282%106.571671.8199%0.1781%
PrimeNet2400.000052.5000%3000800000.000115.0032%0.000159.6265%7.1265%
GPU722440.000056.8182%50001300000.000110.8323%0.000161.4958%4.6776%
Difference+23+106.5706+14.8236%+95000-30000+0.0009-10.2041%+106.5715+10.3242%+10.3242%

Known prime factors (4 factors, 189.2 bits, 0.06786147% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
278819557639619.0891
1
-112.506e-139.908e-92.017e-8
2788198922209723.08916
24
2008-07-2116164.022e-121.585e-73.226e-7
278819111814125667042567912063.27820051382019705
5 × 4010276403941
2014-09-05540102764039417.77422,164.94,043.4
278819163216112235808109211112492683.75529269187579721631096
23 × 149 × 751 × 715523 × 45695231
2020-06-19715523456952317,050,1580.03140.0461

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27881949753717045511342.178
27881962351917222843950526764492582.367
278819997628998353618202789713192686.367
278819910156696110637982123755578111131102.844
2788195563168370129133009854528735584132105.456
27881914562482655353372342763707582904133106.844
2788198120608265448599199846411132823059419938125.933
27881918249866884420772029405195968103449637474195945147.033
27881910176837519561514893705484074457239552391473127480
1
51166.122
27881916282912656498097198770730411337631128651900792674
31
52170.122
27881990799871308569424238253113358479052849503173061261
0955409
57189.211
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-03T17:58:25Lisander ViaeneManual testing100000100000-
skipped known factor: 557639
skipped known factor: 8922209
--0.001--0.628%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:15:00J FeitsmaManual testing??23.08971.38806e-140.0042.88484e-14


ECM factoring results:

Old Calculation Method

Total ECM effort:16.913 GHz-days
Estimated T-Level:27.125
DigitsB1CurvesCompleteFacMiss
2011000553 / 1005.5300.386%
2550000553 / 2801.97513.827%
30250000272 / 6400.42565.355%

New Calculation Method

Total ECM effort:16.913 GHz-days
Estimated T-Level:27.125
DigitsB1CompleteFacMiss
201100032.4890.000%
25500004.2881.373%
302500000.42865.171%
3510000000.03496.668%
4030000000.00299.779%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.054
250000250000001073.910
25000025000000582.119
2500003813354770.301
2500001250000001008.530


Lucas-Lehmer results:
No L-L results for M278819


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T11:13:14Oliver KruseOllaptop
557639
8922209
11181412566704256791
31AEED836BC39F__no
2017-09-22T20:36:00Oliver KruseManual testing
557639
8922209
11181412566704256791
31AEED836BC39F__no
2017-10-13T05:06:23kkmrkkblmbrbkc4.xlarge31AEED836BC39F__no
2020-04-17T21:17:53Oliver KruseAddPrpType5
557639
8922209
11181412566704256791
49B146EA8294B1__no
2020-06-20T14:33:50Oliver KruseThreadripper-PC
557639
8922209
11181412566704256791
16321611223580810921111249
49B146EA8294B19Fno
2022-05-12T18:24:41Jorge CoveiroManual testing
557639
49B146EA8294B19Fno


P-1 factor-bounds graph:
B1 = 100000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
2
210
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-12T18:24:41+00:00