is 2 299843 - 1
has 90262 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L98852BC1BB3DDD55double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268198.787072.0588%20270000020764708064101,168.491322.6279%1,367.278378.3813%
Target2440.000056.8182%55001400000.000111.2426%0.000161.6729%
Difference+24+198.7869+15.2406%+202694500+2076470666410+1,168.4912+11.3853%+1,367.2782+16.7084%

Known prime factors (1 factor, 111.6 bits, 0.03721813% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
299843392399043527132324588456498139643934111.5966543408442537133176169803833
33 × 11423 × 107941 × 16119647 × 12193211999		2022-12-2816119647121932119995.048e+117.007012.794

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20ANONYMOUSv4_computers10000010000000---0.007--2.476%
2002-06-09ANONYMOUSv4_computers327683276800---0.002--1.396%
2002-06-15ANONYMOUSv4_computers327683276800---0.002--1.396%
2002-08-17ANONYMOUSv4_computers655366553600---0.004--2.028%
2003-03-16ANONYMOUSv4_computers13107213107200---0.009--2.786%
2003-12-13ANONYMOUSv4_computers26214426214400---0.017--3.660%
2006-01-15Jocelyn Larouchev4_computers299843299843---0.003--1.041%
2008-11-16Jayson Kingatlas10000000400000000---0.322--8.635%
2021-12-05Seth_TrManual testing120000000120000000---1.237--7.463%
2021-12-05Seth_TrManual testing12000000040104554490---23.70--16.539%
2022-12-28Sid & AndyRocky202700000207647080641034111.5961,1680.0042,33722.628%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24ANONYMOUSv4_computers252253--0.002--
2000-05-05ANONYMOUSv4_computers21254--0.008--
2022-03-07LordJuliusManual testing254255--0.008--
2001-03-17ANONYMOUSv4_computers21256--0.032--
2002-02-17ANONYMOUSv4_computers21257--0.064--
2004-02-07ANONYMOUSv4_computers21258--0.128--
2009-01-02Sturle Sundegoldiek.ifi258259--0.128--
2009-01-24Sturle Sundeghibu.ifi259260--0.256--
2013-06-11lycornasteroid260261--0.512--
2015-08-13NRManual testing261262--1.024--
2016-01-03Gordon SpenceManual testing262263--3.274--
2016-01-03Gordon SpenceManual testing263264--6.548--
2017-08-26ConductorManual testing264265--12.46--
2019-05-28Gordon SpenceManual testing265266--24.92--
2022-02-20LordJuliusManual testing266267--49.84--
2022-12-02Gordon SpenceManual testing267268--99.7--


ECM factoring results:
Total ECM effort:24.557 GHz-days
Estimated T-Level:29.887
DigitsB1CompleteFacMiss
201100064.2240.000%
25500009.2780.009%
302500000.97737.632%
3510000000.08092.275%
4030000000.00599.463%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002802.135
2500002500000058822.42


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Guillermo Ballester Valor98852BC1BB3DDD550.002
2001-12-08phillisoftv4_computers98852BC1BB3DDD550.002


PRP results:
dateuseridcompidcofactorsres64PRP
2022-12-29LordJuliusWhiteBox
3923990435271323245884564981396439
606642E707D4FE28no


P-1 factor-bounds graph:
B1 = 202700000, B2 = 2076470806410 (P-1 stage 2)
B1 = 120000000, B2 = 40104554490 (P-1 stage 2)
B1 = 202700000 (P-1 stage 1)
B1 = 120000000 (P-1 stage 1)
B1 = 10000000, B2 = 400000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 299843 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
109
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=29.89 ~= 83-bit
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290
2100
2110
2120
Last modified: 2023-04-26T21:34:10+00:00