is 2 2298731 - 1
has 691987 decimal digits
takes 0.155 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3365BFFC6CD36502double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.929567.6471%500000100000000.09974.3692%26.029169.0606%1.4136%
PrimeNet2580.016762.0690%100001900000.00192.9277%0.018663.1795%1.1105%
GPU722620.267364.5161%120002000000.00221.7373%0.269465.1326%0.6165%
Difference+6+25.6622+3.1309%+488000+9800000+0.0975+2.6318%+25.7597+3.9280%+3.9280%

Known prime factors (1 factor, 94.2 bits, 0.00409791% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2298731227513668634312428308326590092994.2004948679698370806073184
25 × 32 × 1409 × 304501 × 40049503927
2020-08-02304501400495039272.956e+9213.77399.21

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.229%
2010-10-20T20:14:00Oscar Östlin7501175011---0.007--0.679%
2011-01-17T15:41:00Oscar Östlin900001755000---0.018--2.267%
2013-11-16T02:26:00c10ck3rManual testing50000010000000---0.100--4.369%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-14T01:52:00Sturle Sundeaalto.ifi260261--0.067--
2012-05-12T08:48:00Sebastian HornbostelManual testing261262--0.134--
2013-12-06T02:46:00Jerry HallettManual testing262263--0.427--
2015-03-12T10:50:00VictordeHollanderManual testing263264--0.854--
2015-03-12T10:50:00VictordeHollanderManual testing264265--1.625--
2015-11-04T09:56:28ramgeisManual testing265266--3.251--
2017-05-27T13:18:47Gordon SpenceManual testing266267--6.502--
2019-03-18T11:45:41TJAOIManual testing267268--13.00--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.521 GHz-days
Estimated T-Level:4.250
DigitsB1CurvesCompleteFacMiss
201100085 / 1000.85042.559%
255000085 / 2800.30473.778%

New Calculation Method

Total ECM effort:7.521 GHz-days
Estimated T-Level:4.250
DigitsB1CompleteFacMiss
20110002.7426.445%
25500000.24878.051%
302500000.01598.486%


ECM Summary

B1B2factorcurvesGHz-days
500005000000847.432
50000500000010.088


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers3365BFFC6CD365020.155
2018-04-30T07:56:40kkmrkkblmbrbkold3365BFFC6CD365020.155


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-03T05:52:54mnd9printer
22751366863431242830832659009
D1011A2AE3719C04no
2020-08-04T04:36:54marssystemssystem03
22751366863431242830832659009
D1011A2AE3719C04no


P-1 factor-bounds graph:
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1755000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-08-04T04:36:54+00:00