is 2 2780501 - 1
has 837015 decimal digits
takes 0.215 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE629CE9E89AD6483double-checked
PRPE48C335898A8E881verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.436767.6471%2700000840000000.79847.6852%22.235270.1334%2.4864%
PrimeNet2590.027662.7119%120002200000.00262.8582%0.030263.7776%1.0658%
GPU722630.574065.0794%150002400000.00311.7475%0.577165.6896%0.6102%
Difference+5+20.8627+2.5677%+2685000+83760000+0.7954+5.9376%+21.6581+4.4438%+4.4438%

Known prime factors (1 factor, 74.6 bits, 0.00268415% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2780501292914138834359495820892374.6335267290657949044
22 × 312 × 311 × 4405990091
2020-11-2896144059900911,752.426.88450.211

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-17T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.242%
2010-11-10T22:07:00Jocelyn LaroucheManual testing1500015000---0.002--0.210%
2010-11-26T18:49:00markrtiny1100002392500---0.026--2.615%
2016-08-27T21:43:40Jocelyn Larouchelow4M14200047850006---0.044--3.196%
2016-10-27T01:50:45Jocelyn Larouchelow 4M170400170400---0.019--1.130%
2016-12-24T02:28:28Jocelyn Larouchelow 4M204480204480---0.023--1.242%
2017-02-25T21:07:58Jocelyn Larouchelow 4M29445129445106---0.049--3.204%
2017-03-23T15:51:54Jocelyn Larouchelow 4M35334135334106---0.059--3.422%
2017-04-01T13:34:33mikrMSI27000008400000012---0.798--7.685%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.055--
2009-01-28T01:48:00Sturle Sundegicy.ifi260261--0.055--
2012-03-15T19:45:00Grant McCrackenhome261262--0.110--
2013-01-10T10:21:00dbaughManual testing262263--0.353--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.706--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.344--
2015-12-20T08:25:37omylistManual testing265266--2.688--
2017-10-16T21:21:13Gordon SpenceManual testing266267--5.375--
2019-02-24T11:40:40chuenkitManual testing267268--10.75--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.140 GHz-days
Estimated T-Level:2.950
DigitsB1CurvesCompleteFacMiss
201100059 / 1000.59055.268%
255000059 / 2800.21180.970%

New Calculation Method

Total ECM effort:6.140 GHz-days
Estimated T-Level:2.950
DigitsB1CompleteFacMiss
20110001.90314.909%
25500000.17284.197%
302500000.01198.946%


ECM Summary

B1B2factorcurvesGHz-days
500005000000545.620
50000500000050.520


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computersE629CE9E89AD64830.215
2018-08-25T10:37:34kkmrkkblmbrbkoldE629CE9E89AD64830.215


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-28T19:21:51mrhlanai
29291413883435949582089
E48C335898A8E881no


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 353341, B2 = 3533410 (P-1 stage 2)
B1 = 294451, B2 = 2944510 (P-1 stage 2)
B1 = 142000, B2 = 4785000 (P-1 stage 2)
B1 = 353341 (P-1 stage 1)
B1 = 294451 (P-1 stage 1)
B1 = 110000, B2 = 2392500 (P-1 stage 2)
B1 = 204480 (P-1 stage 1)
B1 = 170400 (P-1 stage 1)
B1 = 142000 (P-1 stage 1)
B1 = 110000 (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: 2020-11-28T19:21:51+00:00