is 2 2083889 - 1
has 627314 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5618E2F87270989Fdouble-checked
PRP08E639384474AD7Cverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.602769.1176%25000001250000000.87467.8923%29.477471.5550%2.4373%
PrimeNet2580.018463.7931%90001600000.00162.6739%0.020164.7612%0.9681%
GPU722620.294866.1290%90001400000.00151.3994%0.296466.6030%0.4740%
Difference+6+28.3079+2.9886%+2491000+124860000+0.8731+6.4928%+29.1810+4.9519%+4.9519%

Known prime factors (1 factor, 78.2 bits, 0.00375250% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20838893467002597067476290502872478.19883185874993041287
3 × 19 × 43 × 3697 × 9180299021
2021-02-103697918029902142,13847.68589.062

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.223%
2009-07-26T14:40:00harleeP4_260020000260000---0.003--0.876%
2010-12-28T02:15:00Jocelyn LaroucheManual testing3000030000---0.003--0.351%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.509%
2011-01-24T23:16:00James HeinrichQ66001350002936250---0.027--2.729%
2016-07-07T00:37:28Jocelyn LaroucheManual testing182380587250012---0.047--3.348%
2016-11-04T17:22:07Jocelyn Larouchelow 4M218856218856---0.021--1.225%
2016-11-07T03:11:23Jocelyn Larouchelow 4M262627262627---0.025--1.342%
2017-04-10T03:20:53mikrMSI250000012500000012---0.875--7.892%
2017-05-13T16:00:16Jocelyn Larouchelow 4M36476036476006---0.052--3.331%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-30T00:00:00ANONYMOUSv4_computers21257--0.009--
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-02T17:25:00Sturle Sundeklengel.ifi260261--0.074--
2012-03-17T22:47:00Sebastian HornbostelManual testing261262--0.147--
2013-09-03T09:36:00ramgeisManual testing262263--0.471--
2015-03-31T15:56:00VictordeHollanderManual testing263264--0.942--
2015-03-31T15:56:00VictordeHollanderManual testing264265--1.793--
2015-11-05T09:47:18ramgeisManual testing265266--3.586--
2016-09-18T04:00:25Gordon SpenceManual testing266267--7.172--
2019-04-01T03:15:22chuenkitManual testing267268--14.34--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.707 GHz-days
Estimated T-Level:23.071
DigitsB1CurvesCompleteFacMiss
2011000172 / 1001.72017.752%
2550000172 / 2800.61454.043%

New Calculation Method

Total ECM effort:14.707 GHz-days
Estimated T-Level:23.071
DigitsB1CompleteFacMiss
20110006.6380.131%
25500000.61454.112%
302500000.03996.199%
3510000000.00299.819%


ECM Summary

B1B2factorcurvesGHz-days
50000500000014812.58
500005000000171.445
50000675000070.680


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-30T00:00:00ANONYMOUSv4_computers5618E2F87270989F0.137
1999-01-29T00:00:00ANONYMOUSv4_computers5618E2F87270989F0.137
2017-06-09T16:26:07kkmrkkblmbrbkc4.large5618E2F87270989F0.137


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-11T06:59:31SRJ2877LTOS
346700259706747629050287
08E639384474AD7Cno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 364760, B2 = 3647600 (P-1 stage 2)
B1 = 182380, B2 = 5872500 (P-1 stage 2)
B1 = 364760 (P-1 stage 1)
B1 = 135000, B2 = 2936250 (P-1 stage 2)
B1 = 262627 (P-1 stage 1)
B1 = 218856 (P-1 stage 1)
B1 = 182380 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2021-07-22T01:39:45+00:00