is 2 6029081 - 1
has 1814935 decimal digits
takes 1.068 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L34154CB44E4C429Edouble-checked
PRPB88212C2C681C094verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual273317.269668.4932%2500000500000001.30754.9531%318.577170.0537%1.5606%
PrimeNet2620.101962.9032%260006000000.01473.3323%0.116664.1394%1.2362%
GPU722662.449565.1515%400009000000.02232.4191%2.471965.9945%0.8430%
Difference+7+314.8201+3.3416%+2460000+49100000+1.2851+2.5340%+316.1052+4.0592%+4.0592%

Known prime factors (1 factor, 95.1 bits, 0.00157774% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6029081431409089246201016728340864972995.1233577735058180517202608
24 × 32 × 443 × 6427 × 124777 × 69935731
2021-12-10124777699357311.604e+91.00951.8288

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2008-02-24T02:25:00David CampeauC0060750001875000---0.044--1.377%
2013-02-21T19:51:00Squeeky_SquirrelP4_26001100002172500---0.057--1.576%
2019-05-24T00:20:07takahashivaio400000750000012---0.202--2.711%
2021-12-10T11:45:10takahashivaio250000050000000122995.1231.3072.1372.6154.953%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-16T00:00:00ANONYMOUSv4_computers21261--0.051--
1998-06-01T00:00:00ANONYMOUSv4_computers21262--0.102--
2016-02-23T16:39:16Mark RoseManual testing262263--0.163--
2014-09-12T10:05:00NesowaManual testing263264--0.326--
2014-09-15T19:11:00monstManual testing264265--0.620--
2015-10-05T01:56:43snme2pm1Manual testing265266--1.239--
2016-03-11T01:14:55Gordon SpenceManual testing266267--2.479--
2018-05-29T09:13:08ramgeisManual testing267268--4.958--
2020-02-26T23:21:30takahashiManual testing268269--9.92--
2020-06-30T22:33:14takahashiManual testing269270--19.83--
2021-01-18T11:40:52takahashiManual testing270271--39.66--
2021-09-25T07:18:09SRBaseManual testing271272--79.32--
2021-12-01T21:17:47takahashiManual testing272273--158.6--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.617 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:1.617 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.617


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-14T00:00:00ANONYMOUSv4_computers34154CB44E4C429E1.068
1998-12-27T00:00:00ANONYMOUSv4_computers34154CB44E4C429E1.068
1999-01-02T00:00:00ANONYMOUSv4_computers34154CB44E4C429E1.068
1999-03-01T00:00:00ANONYMOUSv4_computers34154CB44E4C429E1.068
1999-05-09T00:00:00ANONYMOUSv4_computers34154CB44E4C429E1.068
2000-12-21T00:00:00Salzv4_computers34154CB44E4C429E1.068


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-15T22:47:58mrhx
43140908924620101672834086497
B88212C2C681C094no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 50000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 400000, B2 = 7500000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 110000, B2 = 2172500 (P-1 stage 2)
B1 = 75000, B2 = 1875000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 75000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2021-12-15T22:47:58+00:00