is 2 2803819 - 1
has 844034 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-LC9443429C0BB7F63double-checked
PRPAC185FA678FC854Averified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.258567.6471%65000006695000004.773310.9417%26.031871.1870%3.5399%
PrimeNet2590.027462.7119%120002400000.00272.9278%0.030163.8036%1.0917%
GPU722630.569265.0794%150002600000.00321.7902%0.572465.7045%0.6251%
Difference+5+20.6892+2.5677%+6485000+669240000+4.7702+9.1515%+25.4594+5.4825%+5.4825%

Known prime factors (1 factor, 73.5 bits, 0.00262310% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2803819137993811704063233141672373.5472460818827892657
19 × 417947 × 309888049
2021-03-02417947309888049773.351.93513.5315

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.243%
2010-11-12T11:44:00Jocelyn LaroucheManual testing1500015000---0.002--0.211%
2010-11-20T06:23:00markrtiny1000002075000---0.023--2.485%
2014-11-10T23:29:00Jocelyn LaroucheManual testing122892122892---0.014--0.946%
2015-01-26T12:23:00Jocelyn LaroucheManual testing148699148699---0.017--1.052%
2015-01-31T14:55:00Jocelyn LaroucheManual testing179924179924---0.020--1.164%
2015-02-01T13:32:00Jocelyn LaroucheManual testing197916197916---0.022--1.223%
2015-02-03T07:46:00Jocelyn LaroucheManual testing217707217707---0.024--1.284%
2015-02-11T12:22:00Jocelyn LaroucheManual testing350616350616---0.039--1.615%
2015-02-15T21:12:00Jocelyn LaroucheManual testing424244424244---0.048--1.761%
2015-02-25T03:47:00Jocelyn LaroucheManual testing466668466668---0.052--1.836%
2015-03-02T13:10:00Jocelyn LaroucheManual testing513334513334---0.057--1.913%
2015-03-10T07:55:00Jocelyn LaroucheManual testing564667564667---0.063--1.992%
2015-03-14T11:30:00Jocelyn LaroucheManual testing621133621133---0.070--2.073%
2015-03-29T20:50:00Jocelyn LaroucheManual testing751570751570---0.084--2.240%
2015-04-08T16:59:00Jocelyn LaroucheManual testing826727826727---0.093--2.326%
2015-05-01T17:21:00Jocelyn LaroucheManual testing10003381000338---0.112--2.504%
2015-05-07T16:19:00Jocelyn LaroucheManual testing11003711100371---0.123--2.596%
2015-05-22T00:29:00Jocelyn LaroucheManual testing12104081210408---0.136--2.689%
2015-06-08T13:43:00Jocelyn LaroucheManual testing13314481331448---0.149--2.784%
2015-06-25T21:15:00Jocelyn LaroucheManual testing14645921464592---0.164--2.881%
2015-07-07T18:13:00Jocelyn LaroucheManual testing16110511611051---0.180--2.980%
2016-05-09T00:41:08mognutsStanley15000135000---0.002--0.677%
2016-08-01T15:21:53Jocelyn LaroucheManual testing161105132221026---0.190--3.730%
2018-10-19T12:14:49Jocelyn Larouchelow 4M28038192803819---0.314--3.589%
2019-11-13T13:54:37masserManual testing30000003000000012---0.501--6.477%
2020-01-02T15:52:51masserManual testing500000020000000012---1.750--9.160%
2021-09-20T22:49:28Dylan Delgadolaptop-ryzen737006500000669500000-
skipped known factor: 13799381170406323314167
--4.773--10.942%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.055--
2009-02-13T20:01:00Sturle Sundevancraft.ifi260261--0.055--
2012-03-01T09:18:00Grant McCrackenthumper261262--0.110--
2013-01-10T10:21:00dbaughManual testing262263--0.350--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.700--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.333--
2016-01-09T12:35:23omylistManual testing265266--2.665--
2017-10-24T17:48:46Gordon SpenceManual testing266267--5.330--
2018-12-30T14:49:38chuenkitManual testing267268--10.66--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.238 GHz-days
Estimated T-Level:3.900
DigitsB1CurvesCompleteFacMiss
201100078 / 1000.78045.661%
255000078 / 2800.27975.649%

New Calculation Method

Total ECM effort:8.238 GHz-days
Estimated T-Level:3.900
DigitsB1CompleteFacMiss
20110003.0224.868%
25500000.28075.609%
302500000.01898.250%


ECM Summary

B1B2factorcurvesGHz-days
500005000000656.773
50000500000060.625
50000675000070.840


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computersC9443429C0BB7F630.217
2018-09-01T22:15:54kkmrkkblmbrbkoldC9443429C0BB7F630.217


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-03T09:23:56SRJ2877LTOS
13799381170406323314167
AC185FA678FC854Ano


P-1 factor-bounds graph:
B1 = 6500000, B2 = 669500000 (P-1 stage 2)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 6500000 (P-1 stage 1)
B1 = 5000000 (P-1 stage 1)
B1 = 3000000, B2 = 30000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2803819 (P-1 stage 1)
B1 = 1611051, B2 = 3222102 (P-1 stage 2)
B1 = 1611051 (P-1 stage 1)
B1 = 1464592 (P-1 stage 1)
B1 = 1331448 (P-1 stage 1)
B1 = 1210408 (P-1 stage 1)
B1 = 1100371 (P-1 stage 1)
B1 = 1000338 (P-1 stage 1)
B1 = 826727 (P-1 stage 1)
B1 = 751570 (P-1 stage 1)
B1 = 621133 (P-1 stage 1)
B1 = 564667 (P-1 stage 1)
B1 = 513334 (P-1 stage 1)
B1 = 466668 (P-1 stage 1)
B1 = 424244 (P-1 stage 1)
B1 = 350616 (P-1 stage 1)
B1 = 217707 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 197916 (P-1 stage 1)
B1 = 179924 (P-1 stage 1)
B1 = 148699 (P-1 stage 1)
B1 = 122892 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 135000 (P-1 stage 2)
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: 2021-09-20T22:49:28+00:00