is 2 2738453 - 1
has 824357 decimal digits
takes 0.212 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8002F65F13FF1397double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.850667.1642%2700000840000000.79848.3255%11.649169.8979%2.7338%
PrimeNet2590.028062.7119%120002200000.00262.8503%0.030763.7747%1.0628%
GPU722630.582865.0794%140002400000.00291.7077%0.585865.6757%0.5963%
Difference+4+10.2678+2.0848%+2686000+83760000+0.7955+6.6179%+11.0633+4.2222%+4.2222%

Known prime factors (1 factor, 74.2 bits, 0.00270898% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2738453214617160512641152816732374.1843918583968989812
22 × 149 × 38767 × 169597991
2017-08-17387671695979911,666.81.03891.9328

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.299%
2003-11-28T00:00:00Team Prime Ribv4_computers15000225000---0.003--0.933%
2010-12-19T21:44:00Jocelyn LaroucheManual testing2000020000---0.002--0.321%
2010-12-29T20:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.439%
2011-01-20T22:46:00Jocelyn LaroucheManual testing5000050000---0.006--0.629%
2011-04-27T18:06:00James HeinrichWHS1850004625000---0.048--3.693%
2016-10-26T22:11:42mikrMSI27000008400000012---0.798--8.326%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:20Mark RoseManual testing21260--0.056--
2009-01-27T22:20:00Sturle Sundegiovanni.ifi260261--0.056--
2012-04-10T08:39:00Grant McCrackenthumper261262--0.112--
2013-01-14T12:27:00dbaughManual testing262263--0.358--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.717--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.364--
2016-02-03T11:43:35ramgeisManual testing265266--2.729--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.284 GHz-days
Estimated T-Level:1.100
DigitsB1CurvesCompleteFacMiss
201100022 / 1000.22080.163%
255000022 / 2800.07992.431%

New Calculation Method

Total ECM effort:2.284 GHz-days
Estimated T-Level:1.100
DigitsB1CompleteFacMiss
20110000.71049.180%
25500000.06493.787%
302500000.00499.606%


ECM Summary

B1B2factorcurvesGHz-days
500005000000212.180
50000500000010.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-21T00:00:00ANONYMOUSv4_computers8002F65F13FF13970.212


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:10:04alpertronManual testing
21461716051264115281673
B62A17226B5A09__no
2017-11-15T12:51:24Oliver KruseThreadripper
21461716051264115281673
B62A17226B5A09__no


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 185000, B2 = 4625000 (P-1 stage 2)
B1 = 185000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2017-11-15T12:51:24+00:00