is 2 2270117 - 1
has 683374 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-L621C8816B3CE2BD3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.256367.6471%3000000900000000.73797.6746%26.994270.1300%2.4830%
PrimeNet2580.016962.0690%100001900000.00192.9210%0.018863.1769%1.1080%
GPU722620.270664.5161%120001900000.00211.7077%0.272765.1221%0.6060%
Difference+6+25.9857+3.1309%+2988000+89810000+0.7358+5.9668%+26.7215+5.0079%+5.0079%

Known prime factors (1 factor, 86.3 bits, 0.00380054% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2270117937225816401204753036101772686.27720642676487626072864
25 × 3 × 292 × 137 × 17569 × 106226083
2020-07-06175691062260839,180,5930.55331.0305

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.228%
2010-11-06T12:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.200%
2010-11-12T22:13:00Jocelyn LaroucheManual testing3000030000---0.003--0.357%
2011-01-02T21:05:00markrtiny1000002100000---0.020--2.413%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128274128274---0.012--0.933%
2016-01-04T02:12:25Jocelyn LaroucheManual testing21600021600006---0.031--2.770%
2016-08-01T15:21:51Jocelyn LaroucheManual testing21600043200006---0.042--3.261%
2017-09-05T23:15:03Jocelyn Larouchelow 4M43200043200006---0.061--3.575%
2019-11-19T20:08:21BigBrotherWinston30000009000000012---0.738--7.675%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:10Mark RoseManual testing21260--0.068--
2009-01-14T19:26:00Sturle Sundegideon.ifi260261--0.068--
2012-05-06T10:47:00Sebastian HornbostelManual testing261262--0.135--
2013-01-23T08:24:00dbaughManual testing262263--0.432--
2015-03-10T10:45:00VictordeHollanderManual testing263264--0.865--
2015-03-10T10:45:00VictordeHollanderManual testing264265--1.646--
2015-10-31T16:44:11ramgeisManual testing265266--3.292--
2017-01-16T00:47:37Gordon SpenceManual testing266267--6.584--
2019-04-29T13:20:31TJAOIManual testing267268--13.17--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.706 GHz-days
Estimated T-Level:3.900
DigitsB1CurvesCompleteFacMiss
201100078 / 1000.78045.661%
255000078 / 2800.27975.649%

New Calculation Method

Total ECM effort:6.706 GHz-days
Estimated T-Level:3.900
DigitsB1CompleteFacMiss
20110002.5168.077%
25500000.22779.660%
302500000.01498.609%


ECM Summary

B1B2factorcurvesGHz-days
500005000000756.448
50000500000030.258


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-08T00:00:00ANONYMOUSv4_computers621C8816B3CE2BD30.149
2018-04-25T23:20:18kkmrkkblmbrbkold621C8816B3CE2BD30.149


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-06T05:12:07CrypticCluecruncher
93722581640120475303610177
59F0804BB3EB0E8Dno
2020-07-08T23:44:03nordisweet16
93722581640120475303610177
59F0804BB3EB0E8Dno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 432000, B2 = 4320000 (P-1 stage 2)
B1 = 216000, B2 = 4320000 (P-1 stage 2)
B1 = 432000 (P-1 stage 1)
B1 = 216000, B2 = 2160000 (P-1 stage 2)
B1 = 216000 (P-1 stage 1)
B1 = 100000, B2 = 2100000 (P-1 stage 2)
B1 = 128274 (P-1 stage 1)
B1 = 100000 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-07-08T23:44:03+00:00