is 2 2124233 - 1
has 639458 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L24D569A5294DCB24double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.988167.1642%21000060900000.05063.8525%14.038668.4292%1.2650%
PrimeNet2580.018162.0690%90001600000.00162.6835%0.019763.0869%1.0179%
GPU722620.289264.5161%100001400000.00161.4547%0.290865.0323%0.5162%
Difference+5+13.6989+2.6481%+200000+5950000+0.0489+2.3978%+13.7478+3.3969%+3.3969%

Known prime factors (1 factor, 76.6 bits, 0.00360751% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21242331170878491993458095415832476.63227560029714100527
7 × 29 × 181 × 51059 × 14690371
2017-02-28510591469037110,4900.08090.1425

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.278%
2009-08-03T16:41:00harleeP4_260020000265000---0.003--1.029%
2011-01-01T00:56:00Jocelyn LaroucheManual testing3000030000---0.003--0.416%
2011-01-11T22:55:00Jocelyn LaroucheManual testing5000050000---0.005--0.597%
2011-01-24T16:33:00James Heinrichi7-9201400003045000---0.028--3.112%
2016-06-26T03:50:55Jocelyn LaroucheManual testing210000609000012---0.051--3.853%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00majdhuffv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.054--
2009-01-03T17:24:00Sturle Sundewright.ifi260261--0.072--
2012-04-03T06:47:00Sebastian HornbostelManual testing261262--0.145--
2013-09-06T08:32:00ramgeisManual testing262263--0.462--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.924--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.759--
2016-01-06T22:34:25ramgeisManual testing265266--3.518--
2016-10-15T17:13:26Gordon SpenceManual testing266267--7.036--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.557 GHz-days
Estimated T-Level:1.500
DigitsB1CurvesCompleteFacMiss
201100030 / 1000.30073.970%
255000030 / 2800.10789.823%

New Calculation Method

Total ECM effort:2.557 GHz-days
Estimated T-Level:1.500
DigitsB1CompleteFacMiss
20110000.96837.994%
25500000.08791.625%
302500000.00599.463%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.301
50000500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00majdhuffv4_computers24D569A5294DCB240.140


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T12:23:08Oliver KruseGTX-2
117087849199345809541583
FF5089EE533941__no
2017-11-18T01:15:17Chang Chia-Tcheexbpc13
117087849199345809541583
FF5089EE533941__no


P-1 factor-bounds graph:
B1 = 210000, B2 = 6090000 (P-1 stage 2)
B1 = 140000, B2 = 3045000 (P-1 stage 2)
B1 = 210000 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 265000 (P-1 stage 2)
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
102
103
104
105
106
107
108
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2017-11-18T01:15:17+00:00