is 2 3043603 - 1
has 916216 decimal digits
takes 0.259 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPC03F8889F9A26E1Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.583767.6471%32561248185599113616.278813.4718%35.862472.0056%4.3585%
PrimeNet2600.050563.3333%120002200000.00292.5218%0.053364.2580%0.9247%
GPU722641.169465.6250%130002200000.00301.4304%1.172466.1167%0.4917%
Difference+4+18.4142+2.0221%+32548248+1855771136+16.2758+12.0414%+34.6900+5.8889%+5.8889%

Known prime factors (1 factor, 87.3 bits, 0.00286761% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30436031877158302314903996227230972787.27930837765344476661316
22 × 35 × 30352577 × 1045252139
2020-11-1230352577104525213920,542,45110.57013.126

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.147%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.249%
2010-10-06T14:52:00markrtiny1100002420000---0.029--2.657%
2016-03-09T05:40:09Squeeky_SquirrelP4_2600205000568875012---0.062--3.571%
2017-08-24T10:41:24mikrMSI300000010000000012---1.022--8.033%
2021-01-14T13:16:35Jocelyn LaroucheManual testing304360304360---0.038--1.532%
2021-01-14T22:55:45Jocelyn LaroucheManual testing30436030436036---0.056--3.283%
2021-02-01T21:18:47oodairacom5325612481855991136122787.27916.280.51832.5613.472%
2022-01-06T11:35:14Jocelyn LaroucheManual testing1206540116447100---0.924--7.585%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-21T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-13T04:27:00Sturle Sundegilia.ifi260261--0.050--
2010-11-03T17:09:00Sid & AndyBuzz261262--0.101--
2013-01-07T13:54:00dbaughManual testing262263--0.323--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.645--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.228--
2015-06-03T21:52:00ThaManual testing265266--2.455--
2017-05-05T02:55:08Gordon SpenceManual testing266267--4.910--
2018-07-22T23:52:54ramgeisManual testing267268--9.82--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.260 GHz-days
Estimated T-Level:1.400
DigitsB1CurvesCompleteFacMiss
201100028 / 1000.28075.472%
255000028 / 2800.10090.468%

New Calculation Method

Total ECM effort:3.260 GHz-days
Estimated T-Level:1.400
DigitsB1CompleteFacMiss
20110001.07734.064%
25500000.10090.516%
302500000.00699.373%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.561
50000500000060.699


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers1BDEAC6863162B__0.259


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-15T09:35:41volkihome
187715830231490399622723097
C03F8889F9A26E1Fno


P-1 factor-bounds graph:
B1 = 32561248, B2 = 1855991136 (P-1 stage 2)
B1 = 32561248 (P-1 stage 1)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1206540, B2 = 116447100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1206540 (P-1 stage 1)
B1 = 205000, B2 = 5688750 (P-1 stage 2)
B1 = 304360, B2 = 3043603 (P-1 stage 2)
B1 = 304360 (P-1 stage 1)
B1 = 110000, B2 = 2420000 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
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104
105
106
107
108
102
103
104
105
106
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109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
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260
270
280
290
2100
Last modified: 2022-01-06T11:35:14+00:00