is 2 2398057 - 1
has 721888 decimal digits
takes 0.162 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9EFCE17883BFD461double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.855567.6471%30000001000000000.81157.8462%25.667070.1855%2.5385%
PrimeNet2590.032062.7119%100001700000.00182.4793%0.033963.6363%0.9245%
GPU722630.665565.0794%100001400000.00171.2746%0.667265.5245%0.4451%
Difference+5+24.1899+2.5677%+2990000+99860000+0.8099+6.5716%+24.9998+4.6611%+4.6611%

Known prime factors (1 factor, 69.3 bits, 0.00289080% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23980577384601648065497309292169.323153970519634552
23 × 41 × 1279 × 367022921
2020-03-31127936702292192.2191.95893.6584

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.232%
2010-11-08T22:12:00Jocelyn LaroucheManual testing1500015000---0.001--0.203%
2010-11-16T23:08:00Jocelyn LaroucheManual testing2000020000---0.002--0.261%
2010-12-23T13:02:00markrtiny900001845000---0.018--2.309%
2014-08-21T02:33:00Jocelyn LaroucheManual testing116765116765---0.011--0.893%
2014-11-06T23:05:00Jocelyn LaroucheManual testing143530143530---0.014--1.004%
2015-12-14T05:13:40mikrMSI300000010000000012---0.812--7.846%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-26T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:13Mark RoseManual testing259260--0.032--
2009-01-16T05:22:00Sturle Sundegaudi.ifi260261--0.064--
2012-06-02T13:43:00Sebastian HornbostelManual testing261262--0.128--
2013-01-23T08:27:00dbaughManual testing262263--0.409--
2015-03-12T10:49:00VictordeHollanderManual testing263264--0.819--
2015-03-12T10:49:00VictordeHollanderManual testing264265--1.558--
2015-11-05T09:47:19ramgeisManual testing265266--3.116--
2017-06-27T22:16:40Gordon SpenceManual testing266267--6.232--
2019-02-25T14:14:31TJAOIManual testing267268--12.46--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.293 GHz-days
Estimated T-Level:1.850
DigitsB1CurvesCompleteFacMiss
201100037 / 1000.37068.945%
255000037 / 2800.13287.601%

New Calculation Method

Total ECM effort:3.293 GHz-days
Estimated T-Level:1.850
DigitsB1CompleteFacMiss
20110001.42324.097%
25500000.13287.663%
302500000.00899.173%


ECM Summary

B1B2factorcurvesGHz-days
500005000000353.115
50000500000020.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-15T04:13:05MadPooManual testing9EFCE17883BFD4610.162


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-01T08:46:00Daniil Tsarkov9900
738460164806549730929
3FEE418BC3C46A85no
2020-04-02T09:16:39CrypticCluecruncher
738460164806549730929
3FEE418BC3C46A85no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 90000, B2 = 1845000 (P-1 stage 2)
B1 = 143530 (P-1 stage 1)
B1 = 116765 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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102
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109
TF factor-bounds graph:
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266
265
264
263
262
261
260
259
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260
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2100
Last modified: 2020-04-02T09:16:39+00:00