is 2 3026951 - 1
has 911204 decimal digits
takes 0.258 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE81036C2EF7C3232double-checked
PRPF74CE07D85FCD85Cverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26939.441368.1159%32656058186139530616.326212.6553%55.767472.1509%4.0350%
PrimeNet2600.050763.3333%120002200000.00292.5193%0.053664.2571%0.9237%
GPU722641.175965.6250%130002200000.00301.4288%1.178966.1162%0.4912%
Difference+5+38.2654+2.4909%+32643058+1861175306+16.3232+11.2264%+54.5886+6.0348%+6.0348%

Known prime factors (1 factor, 82.0 bits, 0.00270807% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
302695147430846529188156208911832581.972783475624963670641
29 × 79 × 341979757731851
2021-04-1079341979757731851180,7372,299,3964,294,631

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.121%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.200%
2010-10-13T06:34:00markrtiny1150002357500---0.029--2.367%
2016-04-26T20:25:53harleeP4_2600205000563750012---0.062--3.197%
2017-06-07T01:13:26mikrMSI300000010000000012---1.022--7.400%
2020-01-29T07:20:05oodairacom532656058186139530612---16.33--12.655%
2022-01-26T04:01:33Jocelyn LaroucheManual testing1000000119912100---0.923--6.841%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-01T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-01-29T21:34:00Jayson Kingatlas260261--0.051--
2010-10-06T19:25:00Sid & AndyBuzz261262--0.101--
2013-01-07T13:54:00dbaughManual testing262263--0.324--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.649--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.234--
2015-06-02T19:30:00ThaManual testing265266--2.469--
2017-05-01T03:38:02Gordon SpenceManual testing266267--4.937--
2022-01-20T22:37:58Jocelyn LaroucheManual testing267268--9.87--
2018-07-16T08:59:48ramgeisManual testing267268--9.87--
2021-03-25T10:40:28TJAOIManual testing268269--19.75--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.444 GHz-days
Estimated T-Level:3.200
DigitsB1CurvesCompleteFacMiss
201100064 / 1000.64052.560%
255000064 / 2800.22979.534%

New Calculation Method

Total ECM effort:7.444 GHz-days
Estimated T-Level:3.200
DigitsB1CompleteFacMiss
20110002.4628.530%
25500000.22879.632%
302500000.01498.574%


ECM Summary

B1B2factorcurvesGHz-days
500005000000576.630
50000500000070.814


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-31T00:00:00mijutuv4_computersE81036C2EF7C32320.258
1999-11-04T00:00:00ANONYMOUSv4_computersE81036C2EF7C32320.258
2000-05-31T00:00:00ANONYMOUSv4_computersE81036C2EF7C32320.258
2001-02-11T00:00:00ANONYMOUSv4_computersE81036C2EF7C32320.258


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-12T06:06:38Joe S.VMWare3
4743084652918815620891183
F74CE07D85FCD85Cno


P-1 factor-bounds graph:
B1 = 32656058, B2 = 1861395306 (P-1 stage 2)
B1 = 32656058 (P-1 stage 1)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 205000, B2 = 5637500 (P-1 stage 2)
B1 = 115000, B2 = 2357500 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-01-26T04:01:33+00:00