is 2 2804519 - 1
has 844245 decimal digits
takes 0.217 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L84BA52E8AC1CA510double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.595067.1642%40000004040000002.888610.6904%13.483670.6745%3.5103%
PrimeNet2590.027462.7119%120002400000.00272.9280%0.030163.8036%1.0918%
GPU722630.569165.0794%150002600000.00321.7903%0.572365.7045%0.6252%
Difference+4+10.0259+2.0848%+3985000+403740000+2.8855+8.9001%+12.9114+4.9699%+4.9699%

Known prime factors (1 factor, 74.7 bits, 0.00266426% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2804519311047198444999380577132374.7205545464274711624
23 × 19 × 36483317596787
2015-03-2319364833175967871,737.4222,609415,771

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.301%
2010-11-12T11:44:00Jocelyn LaroucheManual testing1500015000---0.002--0.253%
2010-11-20T00:10:00markrtiny1000002075000---0.023--2.797%
2014-11-10T23:29:00Jocelyn LaroucheManual testing122886122886---0.014--1.086%
2015-01-26T18:12:00Jocelyn LaroucheManual testing148691148691---0.017--1.204%
2015-01-31T14:55:00Jocelyn LaroucheManual testing179916179916---0.020--1.328%
2015-02-01T13:32:00Jocelyn LaroucheManual testing197907197907---0.022--1.393%
2015-02-03T07:46:00Jocelyn LaroucheManual testing217697217697---0.024--1.461%
2015-02-11T12:22:00Jocelyn LaroucheManual testing350600350600---0.039--1.824%
2015-02-13T18:03:00Jocelyn LaroucheManual testing385660385660---0.043--1.903%
2015-02-15T21:12:00Jocelyn LaroucheManual testing424226424226---0.048--1.983%
2015-02-25T03:47:00Jocelyn LaroucheManual testing466648466648---0.052--2.065%
2015-03-02T13:10:00Jocelyn LaroucheManual testing513312513312---0.057--2.149%
2015-03-12T10:39:00Jocelyn LaroucheManual testing564643564643---0.063--2.235%
2015-03-14T11:30:00Jocelyn LaroucheManual testing621107621107---0.070--2.323%
2021-09-21T19:25:56Dylan Delgadolaptop-ryzen737004000000404000000---2.889--10.690%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-02-14T03:13:00Sturle Sundevancraft.ifi260261--0.055--
2012-03-02T15:15:00Grant McCrackenthumper261262--0.110--
2013-01-10T10:21:00dbaughManual testing262263--0.350--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.251 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:1.251 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
50000500000090.938
50000500000030.313


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00Ethan O'Connorv4_computers84BA52E8AC1CA5100.217


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-21T17:58:40Oliver KruseGTX-3
31104719844499938057713
7E4E2BEA804D7D__no
2017-12-06T17:22:28kkmrkkblmbrbkc4.xlarge
31104719844499938057713
7E4E2BEA804D7D__no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 404000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 621107 (P-1 stage 1)
B1 = 564643 (P-1 stage 1)
B1 = 513312 (P-1 stage 1)
B1 = 466648 (P-1 stage 1)
B1 = 424226 (P-1 stage 1)
B1 = 385660 (P-1 stage 1)
B1 = 350600 (P-1 stage 1)
B1 = 217697 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 197907 (P-1 stage 1)
B1 = 179916 (P-1 stage 1)
B1 = 148691 (P-1 stage 1)
B1 = 122886 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-09-21T19:25:56+00:00