is 2 2293301 - 1
has 690353 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-L110ED689BE986D3Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.956867.1642%500000150000000.12645.2079%13.083268.8743%1.7101%
PrimeNet2580.016762.0690%100001900000.00192.9264%0.018763.1790%1.1100%
GPU722620.267964.5161%120002000000.00221.7365%0.270165.1323%0.6162%
Difference+5+12.6889+2.6481%+488000+14800000+0.1242+3.4714%+12.8131+3.7419%+3.7419%

Known prime factors (1 factor, 61.8 bits, 0.00269283% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
229330138906800130742594231961.755848270683411
47 × 18048312413
2011-11-1647180483124130.138396.322179.90

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.284%
2010-11-07T12:40:00Jocelyn LaroucheManual testing1500015000---0.001--0.241%
2010-11-15T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.308%
2010-12-02T22:09:00Oscar Östlin7501175011---0.007--0.786%
2011-01-17T01:56:00Oscar Östlin850001742500---0.017--2.523%
2016-04-24T16:29:02alpertronManual testing5000001500000012---0.126--5.208%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-21T00:00:00ANONYMOUSv4_computers21258--0.017--
2022-03-09T16:36:52LordJuliusManual testing21260--0.067--
2009-01-14T06:44:00Sturle Sundebruckner.ifi260261--0.067--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.531 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:0.531 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000060.531


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-21T00:00:00ANONYMOUSv4_computers110ED689BE986D3C0.155
1999-03-26T00:00:00ANONYMOUSv4_computers110ED689BE986D3C0.155


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-11T09:46:37Oliver KruseGTX-3
3890680013074259423
59ED6704C6B890__no
2017-11-22T12:43:42kkmrkkblmbrbkc4.xlarge
3890680013074259423
59ED6704C6B890__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 85000, B2 = 1742500 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (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)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
261
260
258
250
260
270
280
290
2100
Last modified: 2022-03-09T16:36:52+00:00