is 2 276763 - 1
has 83314 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7C92FD5F744D0B4Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267107.362371.6418%10000000020000000002.016512.6217%109.378875.2211%3.5793%
PrimeNet2400.000052.5000%2800800000.000114.8784%0.000159.5673%7.0673%
GPU722440.000056.8182%50001300000.000110.8204%0.000161.4906%4.6724%
Difference+23+107.3623+14.8236%+99995000+1999870000+2.0164+1.8013%+109.3787+13.7304%+13.7304%

Known prime factors (2 factors, 228.4 bits, 0.08253488% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
276763528443830956902066037283153730331102.0609546865566511818162783377
53 × 1794294823 × 100390157003083
2020-11-2417942948231003901570030836.485e+1154,211101,219
27676310966853806729524067293603094077454764139126.366198127166686470447048442224829140
22 × 3 × 5 × 53 × 5879 × 10597744593883915088907337
2015-12-085879105977445938839150889073376.506e+115.721e+151.069e+16

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27676357953662391724345377861345331381349519721204572111
1411002528442152223
69228.426
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-08T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.280%
2001-06-30T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.754%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.581%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.270%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.087%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.020%
2006-01-15T00:00:00Jocelyn Larouchev4_computers276763276763---0.003--1.121%
2011-06-26T19:18:00Jocelyn LaroucheManual testing10542501054250---0.010--2.064%
2011-07-24T13:12:00Jocelyn LaroucheManual testing17570841757084---0.017--2.514%
2012-02-26T15:18:00Jocelyn LaroucheManual testing21963562196356---0.022--2.726%
2012-12-12T11:19:00alpertronManual testing1000000002000000000---2.017--12.622%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T06:11:24LordJuliusManual testing254255--0.009--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.035--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.069--
2004-02-14T00:00:00ANONYMOUSv4_computers21258--0.139--
2009-01-01T20:42:00Sturle Sundebruckner.ifi258259--0.139--
2009-01-29T23:06:00Sturle Sundefoster.ifi259260--0.277--
2013-06-30T21:54:00lycornasteroid260261--0.555--
2015-08-13T13:31:00NRManual testing261262--1.110--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.527 GHz-days
Estimated T-Level:26.531
DigitsB1CurvesCompleteFacMiss
2011000496 / 1004.9600.684%
2550000496 / 2801.77116.955%
30250000196 / 6400.30673.603%

New Calculation Method

Total ECM effort:9.527 GHz-days
Estimated T-Level:26.531
DigitsB1CompleteFacMiss
201100026.0110.000%
25500003.2533.865%
302500000.31173.282%
3510000000.02497.645%
4030000000.00299.848%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003002.192
250000250000001615.882
2500002500000050.183
2500002500000020.073
2500003675000070.296
25000037981454140.600
2500003850000070.302


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-24T00:00:00ANONYMOUSv4_computers7C92FD5F744D0B4B0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T10:51:49Oliver KruseOllaptop
109668538067295240672936030940774547641
FA2530A205619E__no
2017-09-22T20:35:52Oliver KruseManual testing
109668538067295240672936030940774547641
FA2530A205619E__no
2017-10-12T18:37:25Oliver KruseGTX-0FA2530A205619E__no
2017-11-06T14:48:50kkmrkkblmbrbkc4.xlarge
109668538067295240672936030940774547641
FA2530A205619E__no
2020-04-17T21:15:36Oliver KruseAddPrpType5
109668538067295240672936030940774547641
EC03B9DEDA45CF__no
2020-11-24T17:02:37mnd9vv
5284438309569020660372831537303
109668538067295240672936030940774547641
EC03B9DEDA45CFA2no
2020-11-25T09:10:46rbanovccg_lnx01
5284438309569020660372831537303
109668538067295240672936030940774547641
EC03B9DEDA45CFA2no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 2196356 (P-1 stage 1)
B1 = 1757084 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1054250 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 276763 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
102
103
104
105
106
107
108
109
1010
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
TF factor-bounds graph:
267
262
261
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-05-23T01:34:38+00:00