is 2 275599 - 1
has 82964 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-L29A9C47DB195F439double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267107.815871.6418%262144262144000.01664.0181%107.832472.7813%1.1395%
PrimeNet2400.000052.5000%2800800000.000114.8698%0.000159.5631%7.0631%
GPU722440.000056.8182%50001300000.000110.8136%0.000161.4877%4.6695%
Difference+23+107.8158+14.8236%+257144+26084400+0.0165-6.7955%+107.8322+11.2936%+11.2936%

Known prime factors (3 factors, 240.5 bits, 0.08724831% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
275599567545626408014779832065.621102965835581409
3 × 412 × 20417575963
2008-03-1816812041757596342.01911.02220.586
275599265820909264352820542801292684.45948226029351404181536
25 × 73 × 43 × 137 × 745844660621
2015-10-0934374584466062124,726,923402.63752.00
27559916058902208323982368431112392890.3752913454368180578007981
33 × 13 × 7207 × 1151719133534933
2021-03-19720711517191335349331.221e+9621,7361,161,230

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
275599150865494460785180787535141267868109430789980746150.080
2755999114159713248286432945008778623128404327835093747155.997
27559942687919868040044532677962467781124135551028814269
831
53174.834
27559924227342221561926693725633088805337025079736336135
56106519349705767630873
73240.455
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-08T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.278%
2001-06-30T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.752%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.580%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.269%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.085%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.018%
2006-01-15T00:00:00Jocelyn Larouchev4_computers275599275599---0.003--1.118%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T06:11:22LordJuliusManual 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--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.185 GHz-days
Estimated T-Level:27.180
DigitsB1CurvesCompleteFacMiss
2011000557 / 1005.5700.371%
2550000557 / 2801.98913.631%
30250000279 / 6400.43664.644%

New Calculation Method

Total ECM effort:17.185 GHz-days
Estimated T-Level:27.180
DigitsB1CompleteFacMiss
201100039.5920.000%
25500005.5290.397%
302500000.57456.319%
3510000000.04795.419%
4030000000.00399.687%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002111.541
500005000000670.489
250000250000001425.187
25000025000000230.840
25000038428210140.603
2500001250000001008.524


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-17T00:00:00ANONYMOUSv4_computers29A9C47DB195F4390.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T10:48:11Oliver KruseDoppelherz
56754562640801477983
26582090926435282054280129
EDCC1C54CC76065Bno
2017-09-24T17:45:18Oliver KruseManual testing
56754562640801477983
26582090926435282054280129
EDCC1C54CC76065Bno
2017-09-30T15:29:08alpertronManual testing
56754562640801477983
26582090926435282054280129
EDCC1C54CC7606__no
2017-12-07T05:03:51ATHxps
56754562640801477983
26582090926435282054280129
EDCC1C54CC7606__no
2020-04-17T21:14:09Oliver KruseAddPrpType5
56754562640801477983
26582090926435282054280129
CF7C17026353E6__no
2021-03-19T19:52:05mnd975211backdoor
56754562640801477983
26582090926435282054280129
1605890220832398236843111239
CF7C17026353E688no
2021-03-21T14:28:55Cork3tits
56754562640801477983
26582090926435282054280129
1605890220832398236843111239
CF7C17026353E688no


P-1 factor-bounds graph:
B1 = 262144, B2 = 26214400 (P-1 stage 2)
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 = 275599 (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)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
267
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T06:11:22+00:00