is 2 2319353 - 1
has 698195 decimal digits
takes 0.157 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA21C46F67AE41E06double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.698967.6471%60000001800000001.51648.9654%27.215370.5476%2.9006%
PrimeNet2580.016662.0690%100001900000.00192.9325%0.018563.1813%1.1123%
GPU722620.264964.5161%130002000000.00231.7819%0.267265.1484%0.6323%
Difference+6+25.4340+3.1309%+5987000+179800000+1.5141+7.1835%+26.9481+5.3992%+5.3992%

Known prime factors (1 factor, 74.3 bits, 0.00320315% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2319353231314653498522646011932374.2924986620266482132
22 × 3 × 415551688873511
2020-08-0244155516888735111,803.82,217,7534,142,145

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.230%
2010-02-22T08:15:00Budannan50000010000000---0.100--4.374%
2018-01-20T09:54:48Sid & AndyHand_In_The_Box600000018000000012---1.516--8.965%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.066--
2009-01-14T05:48:00Sturle Sundegiasha.ifi260261--0.066--
2012-05-24T14:43:00Sebastian HornbostelManual testing261262--0.132--
2013-01-23T08:26:00dbaughManual testing262263--0.423--
2015-03-03T21:35:00VictordeHollanderManual testing263264--0.846--
2015-03-03T21:35:00VictordeHollanderManual testing264265--1.611--
2015-10-23T09:34:56ramgeisManual testing265266--3.222--
2017-06-04T00:25:31Gordon SpenceManual testing266267--6.444--
2019-04-15T13:43:04TJAOIManual testing267268--12.89--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.264 GHz-days
Estimated T-Level:4.100
DigitsB1CurvesCompleteFacMiss
201100082 / 1000.82043.862%
255000082 / 2800.29374.574%

New Calculation Method

Total ECM effort:7.264 GHz-days
Estimated T-Level:4.100
DigitsB1CompleteFacMiss
20110002.6457.099%
25500000.23978.736%
302500000.01598.539%


ECM Summary

B1B2factorcurvesGHz-days
500005000000817.176
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-15T02:09:49MadPooManual testingA21C46F67AE41E060.157


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-02T09:13:21ANONYMOUSdory
23131465349852264601193
332AFD29E4D1401Ano
2020-08-02T14:45:29mnd9printer
23131465349852264601193
332AFD29E4D1401Ano


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (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: 2020-08-02T14:45:29+00:00