is 2 2158697 - 1
has 649833 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-LCD4210697129AA2Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.764767.1642%500000150000000.12305.1703%13.887768.8619%1.6977%
PrimeNet2580.017862.0690%100001700000.00182.8099%0.019663.1348%1.0658%
GPU722620.284664.5161%100001600000.00171.5191%0.286365.0551%0.5390%
Difference+5+13.4801+2.6481%+490000+14840000+0.1213+3.6512%+13.6014+3.8067%+3.8067%

Known prime factors (1 factor, 70.9 bits, 0.00328413% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
215869721944337654878851303032270.894508277392678983
3 × 743 × 228029337227
2015-09-18743228029337227123.711,184.42,212.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.279%
2010-11-04T10:39:00Jocelyn LaroucheManual testing1500015000---0.001--0.237%
2010-11-07T01:16:00Jocelyn LaroucheManual testing3000030000---0.003--0.417%
2010-11-07T12:40:00Jocelyn LaroucheManual testing4500045000---0.004--0.558%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.599%
2011-01-23T12:19:00markrtiny1200002340000---0.023--2.860%
2014-10-03T21:04:00Jocelyn LaroucheManual testing149733149733---0.014--1.154%
2016-03-31T11:12:56alpertronManual testing5000001500000012---0.123--5.170%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T10:13:26LordJuliusManual testing21260--0.071--
2009-01-04T06:36:00Sturle Sundegibsy.ifi260261--0.071--
2009-01-06T21:57:00Sturle Sundeghia.ifi261262--0.142--
2013-09-08T17:50:00ramgeisManual testing262263--0.455--
2015-03-22T08:28:00VictordeHollanderManual testing263264--0.909--
2015-03-22T08:28:00VictordeHollanderManual testing264265--1.731--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.135 GHz-days
Estimated T-Level:1.250
DigitsB1CurvesCompleteFacMiss
201100025 / 1000.25077.782%
255000025 / 2800.08991.444%

New Calculation Method

Total ECM effort:2.135 GHz-days
Estimated T-Level:1.250
DigitsB1CompleteFacMiss
20110000.96238.230%
25500000.08991.487%
302500000.00699.440%


ECM Summary

B1B2factorcurvesGHz-days
500005000000221.879
50000500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computersCD4210697129AA2A0.142


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:28:35alpertronManual testing
2194433765487885130303
457B2BA621630F__no
2017-10-21T22:42:19Oliver KruseThreadripper
2194433765487885130303
457B2BA621630F__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 = 149733 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 45000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
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: 2022-07-20T02:24:27+00:00