is 2 2266493 - 1
has 682283 decimal digits
takes 0.149 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1FC65386435E0DC0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.110167.1642%447897162521020.12485.2084%13.234968.8744%1.7102%
PrimeNet2580.016962.0690%100001900000.00192.9201%0.018863.1766%1.1076%
GPU722620.271164.5161%120001900000.00211.7072%0.273165.1219%0.6058%
Difference+5+12.8390+2.6481%+435897+16062102+0.1227+3.5012%+12.9617+3.7525%+3.7525%

Known prime factors (1 factor, 74.3 bits, 0.00327949% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2266493237362701009538475421512374.3305236343130323775
3 × 52 × 89003 × 784444439
2017-12-24890037844444392,000.44.08267.6102

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-11-06T12:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.240%
2010-11-12T22:13:00Jocelyn LaroucheManual testing3000030000---0.003--0.422%
2011-01-03T16:25:00markrtiny1000002100000---0.020--2.716%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128319128319---0.012--1.071%
2016-04-02T11:41:48Jocelyn LaroucheManual testing311040311040---0.030--1.671%
2016-04-02T11:41:51Jocelyn LaroucheManual testing37324837324806---0.053--3.769%
2016-04-10T12:11:16Jocelyn LaroucheManual testing4478971625210212---0.125--5.208%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-30T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:10Mark RoseManual testing258260--0.051--
2009-01-10T22:50:00Sturle Sundeinteravia.ifi260261--0.068--
2012-05-05T19:48:00Sebastian HornbostelManual testing261262--0.136--
2013-01-23T08:24:00dbaughManual testing262263--0.433--
2015-03-10T10:45:00VictordeHollanderManual testing263264--0.866--
2015-03-10T10:45:00VictordeHollanderManual testing264265--1.649--
2015-10-31T16:44:10ramgeisManual testing265266--3.297--
2017-01-16T00:47:36Gordon SpenceManual testing266267--6.594--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.664 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000031 / 2800.11189.502%

New Calculation Method

Total ECM effort:2.664 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110001.00036.788%
25500000.09091.358%
302500000.00699.445%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.579
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-07T00:00:00ANONYMOUSv4_computers1FC65386435E0DC00.149


PRP results:
dateuseridcompidcofactorsres64PRP
2017-12-25T13:13:55Oliver KruseThreadripper
23736270100953847542151
2CFEC7878F737B__no
2017-12-26T13:44:04Chang Chia-Tcheexbpc13
23736270100953847542151
2CFEC7878F737B__no


P-1 factor-bounds graph:
B1 = 447897, B2 = 16252102 (P-1 stage 2)
B1 = 373248, B2 = 3732480 (P-1 stage 2)
B1 = 447897 (P-1 stage 1)
B1 = 373248 (P-1 stage 1)
B1 = 311040 (P-1 stage 1)
B1 = 100000, B2 = 2100000 (P-1 stage 2)
B1 = 128319 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2017-12-26T13:44:04+00:00