is 2 2161433 - 1
has 650657 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEF9789810FCC9782double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.747367.1642%500000150000000.12305.1711%13.870368.8621%1.6980%
PrimeNet2580.017862.0690%100001800000.00182.8538%0.019663.1514%1.0825%
GPU722620.284264.5161%100001600000.00171.5194%0.286065.0553%0.5392%
Difference+5+13.4631+2.6481%+490000+14840000+0.1213+3.6516%+13.5843+3.8069%+3.8069%

Known prime factors (1 factor, 76.4 bits, 0.00353270% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2161433967662239771370390574972376.35722384738267884556
22 × 461 × 1823903 × 6655633
2013-05-05182390366556337,472.80.19900.3539

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.279%
2010-11-02T23:44:00Jocelyn LaroucheManual testing2000020000---0.002--0.304%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.417%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.599%
2011-01-22T21:19:00markrtiny1200002340000---0.023--2.860%
2016-04-03T12:33:06alpertronManual testing5000001500000012---0.123--5.171%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00Stephen Woodv4_computers21258--0.018--
2022-03-09T10:13:26LordJuliusManual testing21260--0.071--
2009-01-05T00:56:00Sturle Sundegolli.ifi260261--0.071--
2009-01-07T20:56:00Sturle Sundegoober.ifi261262--0.142--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.156 GHz-days
Estimated T-Level:1.150
DigitsB1CurvesCompleteFacMiss
201100023 / 1000.23079.361%
255000023 / 2800.08292.100%

New Calculation Method

Total ECM effort:2.156 GHz-days
Estimated T-Level:1.150
DigitsB1CompleteFacMiss
20110000.92939.476%
25500000.08691.733%
302500000.00599.454%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000090.769
50000688566170.690
50000701793870.697


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computersEF9789810FCC97820.142


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T00:50:08Oliver KruseGTX-2
96766223977137039057497
477A643859702F__no
2017-11-18T23:09:28kkmrkkblmbrbkc4.xlarge
96766223977137039057497
477A643859702F__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 120000, B2 = 2340000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
267
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-08-08T11:21:33+00:00