is 2 2898739 - 1
has 872608 decimal digits
takes 0.224 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6BBD6F3B00C3EFBDdouble-checked
PRP9EC7E7FA854EA933verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26941.185868.1159%50000002000000001.74988.5086%42.935670.8288%2.7129%
PrimeNet2590.026562.7119%130002400000.00283.0019%0.029363.8312%1.1193%
GPU722630.550665.0794%160003000000.00351.9088%0.554165.7459%0.6666%
Difference+6+40.6352+3.0366%+4984000+199700000+1.7463+6.5998%+42.3814+5.0829%+5.0829%

Known prime factors (1 factor, 70.3 bits, 0.00242519% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
289873914534568212502267394072270.300250705017121277
17957 × 13961408761
2021-07-17179571396140876187.02285.190159.11

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-02T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.198%
2009-07-03T21:39:00Carsten Kossendeyleela15000168750---0.003--0.627%
2010-12-24T09:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.229%
2011-02-23T06:23:00Carsten Kossendeymother2000005000000---0.052--3.085%
2017-08-19T15:19:07Jocelyn Larouchelow 4M40000040000006---0.067--3.239%
2019-11-04T17:20:46masserManual testing29000002900000012---0.484--5.913%
2020-02-16T15:25:03masserManual testing500000020000000012---1.750--8.509%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.053--
2009-02-13T08:30:00Sturle Sundeduma.ifi260261--0.053--
2012-01-12T04:01:00Grant McCrackenthumper261262--0.106--
2013-01-10T10:25:00dbaughManual testing262263--0.339--
2015-04-22T10:47:00VictordeHollanderManual testing263264--0.677--
2015-04-22T10:47:00VictordeHollanderManual testing264265--1.289--
2016-02-19T16:47:49ramgeisManual testing265266--2.578--
2017-11-16T23:15:02Gordon SpenceManual testing266267--5.156--
2019-01-14T01:17:51chuenkitManual testing267268--10.31--
2021-04-15T09:05:07TJAOIManual testing268269--20.62--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.104 GHz-days
Estimated T-Level:4.300
DigitsB1CurvesCompleteFacMiss
201100086 / 1000.86042.133%
255000086 / 2800.30773.514%

New Calculation Method

Total ECM effort:9.104 GHz-days
Estimated T-Level:4.300
DigitsB1CompleteFacMiss
20110002.7906.144%
25500000.25277.709%
302500000.01698.458%


ECM Summary

B1B2factorcurvesGHz-days
500005000000778.068
50000500000020.210
50000645000070.826


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-16T00:00:00ANONYMOUSv4_computers6BBD6F3B00C3EFBD0.224
2018-09-29T21:41:13kkmrkkblmbrbkold6BBD6F3B00C3EFBD0.224


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-17T17:46:27SRJ2877LTOS
1453456821250226739407
9EC7E7FA854EA933no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2900000, B2 = 29000000 (P-1 stage 2)
B1 = 2900000 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 15000, B2 = 168750 (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)
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TF factor-bounds graph:
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Last modified: 2021-07-17T17:46:27+00:00