is 2 2023093 - 1
has 609012 decimal digits
takes 0.133 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5746840A1FF68D3Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.687468.6567%580000150800000.13065.2237%14.818070.2940%1.6373%
PrimeNet2580.019063.7931%90001500000.00162.6127%0.020664.7391%0.9460%
GPU722620.303766.1290%80001200000.00131.2737%0.305066.5605%0.4314%
Difference+5+14.3837+2.5277%+572000+14960000+0.1293+3.9500%+14.5130+3.7335%+3.7335%

Known prime factors (1 factor, 69.9 bits, 0.00345597% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
202309311149082920650814707432269.917275545487050047
33 × 41 × 248911912421
2015-07-0341248911912421110.011,292.92,414.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.022%
2003-01-09T00:00:00ANONYMOUSv4_computers25000412500---0.004--1.247%
2010-12-10T00:56:00Jocelyn LaroucheManual testing202309202309---0.019--1.334%
2013-10-21T01:08:00David Campeaui5-2500k58000015080000---0.131--5.224%
2016-03-17T19:19:41alpertronManual testing5000001500000012---0.123--5.130%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-02T00:00:00estrandv4_computers21258--0.019--
2022-03-09T07:16:46LordJuliusManual testing21260--0.076--
2009-01-02T15:01:00Sturle Sundefoster.ifi260261--0.076--
2012-02-05T16:47:00Sebastian HornbostelManual testing261262--0.152--
2013-02-11T20:23:00dbaughManual testing262263--0.485--
2015-04-10T15:56:00VictordeHollanderManual testing263264--0.970--
2015-04-10T15:56:00VictordeHollanderManual testing264265--1.847--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.710 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000031 / 2800.11189.502%

New Calculation Method

Total ECM effort:2.710 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110001.01636.219%
25500000.09291.199%
302500000.00699.434%


ECM Summary

B1B2factorcurvesGHz-days
500005000000221.863
50000500000020.169
50000675000070.677


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00estrandv4_computers5746840A1FF68D3C0.133


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T00:33:53Oliver KruseGTX-3
1114908292065081470743
381BF60FD82B3D__no
2017-11-19T12:47:02kkmrkkblmbrbkc4.xlarge
1114908292065081470743
381BF60FD82B3D__no


P-1 factor-bounds graph:
B1 = 580000, B2 = 15080000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 580000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 202309 (P-1 stage 1)
B1 = 25000, B2 = 412500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-03-09T07:16:46+00:00