is 2 275921 - 1
has 83061 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-LEA06FD414F2640C8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267107.689971.6418%10000000020000000002.016512.6189%109.706575.2203%3.5785%
PrimeNet2400.000052.5000%2800800000.000114.8722%0.000159.5643%7.0643%
GPU722440.000056.8182%50001300000.000110.8155%0.000161.4885%4.6703%
Difference+23+107.6899+14.8236%+99995000+1999870000+2.0164+1.8034%+109.7063+13.7318%+13.7318%

Known prime factors (2 factors, 209.3 bits, 0.07585519% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2759211643678864816377319537741537032932103.69729785316536551718055851884
22 × 33 × 89 × 4780561 × 648200846013337
2016-11-2447805616482008460133376.719e+11349,920653,554
2759216164311716505965432296857744454332105.604111704287033353123399394351
13 × 293 × 677 × 108011 × 401053409412137
2022-05-271080114010534094121375.242e+11216,502404,365

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27592110132148884560819586897202612483262838162416538517
47512805164647
64209.300
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-08T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.279%
2001-06-30T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.752%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.581%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.269%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.086%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.019%
2006-01-15T00:00:00Jocelyn Larouchev4_computers275921275921---0.003--1.119%
2011-06-26T19:18:00Jocelyn LaroucheManual testing10584241058424---0.010--2.066%
2011-07-24T13:12:00Jocelyn LaroucheManual testing17640401764040---0.017--2.517%
2012-02-26T15:18:00Jocelyn LaroucheManual testing22050502205050---0.022--2.729%
2012-11-27T13:31:00alpertronManual testing1000000002000000000---2.017--12.619%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T06:11:23LordJuliusManual testing254255--0.009--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.035--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.070--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.139--
2009-01-01T04:53:00Sturle Sundebruckner.ifi258259--0.139--
2009-01-28T00:46:00Sturle Sundefoster.ifi259260--0.278--
2013-07-01T22:14:00lycornasteroid260261--0.557--
2015-08-13T13:31:00NRManual testing261262--1.113--
2016-02-03T02:23:15Gordon SpenceManual testing262263--3.558--
2016-02-03T02:23:15Gordon SpenceManual testing263264--7.115--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.223 GHz-days
Estimated T-Level:26.711
DigitsB1CurvesCompleteFacMiss
2011000499 / 1004.9900.664%
2550000499 / 2801.78216.774%
30250000219 / 6400.34271.002%

New Calculation Method

Total ECM effort:10.223 GHz-days
Estimated T-Level:26.711
DigitsB1CompleteFacMiss
201100030.9420.000%
25500004.1191.627%
302500000.40866.487%
3510000000.03296.830%
4030000000.00299.790%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002802.046
250000250000001886.867
2500002500000020.073
25000036750000140.592
2500003675000010.042
25000038500000140.603


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-17T00:00:00ANONYMOUSv4_computersEA06FD414F2640C80.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T10:44:11Oliver KruseOllaptop
16436788648163773195377415370329
7DD154C58D8BDE__no
2017-09-22T20:35:49Oliver KruseManual testing
16436788648163773195377415370329
7DD154C58D8BDE__no
2017-10-12T18:32:11Oliver KruseGTX-07DD154C58D8BDE__no
2017-11-06T14:32:25kkmrkkblmbrbkc4.xlarge
16436788648163773195377415370329
7DD154C58D8BDE__no
2020-04-17T21:16:57Oliver KruseAddPrpType5
16436788648163773195377415370329
81F33603C7BDD1__no
2022-05-28T15:31:17SRJ2877LTOS
16436788648163773195377415370329
61643117165059654322968577444543
81F33603C7BDD1F3no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 2205050 (P-1 stage 1)
B1 = 1764040 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1058424 (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 = 275921 (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)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
267
264
263
262
261
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
2110
Last modified: 2022-07-19T16:54:33+00:00