is 2 87723697 - 1
has 26407465 decimal digits
takes 295.743 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2715.449861.9718%----5.449861.9718%0.0000%
PrimeNet2715.449861.9718%360000170000006.19165.4016%11.641464.0260%2.0541%
GPU7227587.227464.0000%600000200000008.09994.0445%95.327365.4560%1.4560%
Difference-4-81.7776-2.0282%-600000-20000000-8.0999-4.0445%-89.8774-3.4842%-1.4560%

Known prime factors (5 factors, 292.3 bits, 0.00033320% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
877236971330282494208631546.919758223
32 × 84247
2007-08-179842471.194e-70.02250.0419
87723697358364327459530571754.992204257424
24 × 3 × 7 × 607909
2015-08-07166079094.278e-50.16200.3024
8772369721218756888711468471960.88012094084959
3 × 11 × 13337 × 27479
2016-03-1413337274790.00230.06900.1327
8772369746143433488623674091962.000826300438232
23 × 3 × 1095851593
2016-06-20810958515930.0131291.86545.11
877236972092275869907394115832167.5041192537445103
32 × 4231 × 31317457
2022-09-214231313174570.37888.360415.578

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
87723697476725791368262560366723442819131101.911
8772369728226940837921641972365837846896133107.799
8772369761383801792596326324619937585396733108.920
877236972783317962792939308186036914405612935114.422
877236977604045541950366743194277361556127935115.872
8772369716536160508824203414314512900071931336116.993
87723697749797034979167567738968661672005923137122.496
87723697979106297205533052261752479730590942337122.881
8772369744395493027682299129379415070316572880139128.384
8772369796544792442924079352397625324501629844739129.504
877236971011552866962174751676824582869124762973643756377750162.791
877236972199776484631290949251361907943129837550266922711950163.912
8772369799744186984232242546341290189425928124887080713635
3
51169.415
8772369713024879671419526861481867902400643866628472844920
49
52169.800
8772369759058547196487051635850235019364343306592337569375
263
53175.302
8772369712843184729382753698092866857164630402832312371629
9761
54176.423
8772369735087676970945210779548676589891727055914723425195
6111
54177.873
8772369715909761001099645713754612707161882670652653008738
894657
56183.376
8772369734598209613528457111045165487345694821713698945364
002479
56184.497
8772369720485604797175142313855804487321211227557109233917
15046609
58190.385
8772369746676522436895702579621997013337822254858626745064
928720160643743793
68224.792
8772369721164476546806026880269315381348025789946375433760
04357633043015028991
70230.295
8772369746025392579837636537323639698226309223217117097658
12396655759446319377
70231.415
8772369727251641444958424200915680290709788741085297097530
9760108756027302003567
72237.303
8772369773413099857414030256747856874597226282556212731679
233143522906578881033713
74245.377
8772369797660161585907955583790288504759548804388446687222
50573638335052061605325657967028554319
88292.296
P-1 results:
No P-1 results for M87723697


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-12-30T15:21:00TJAOIManual testing254255*54.992171.54193e-5608.23.17081e-5
2016-03-14T12:05:34TJAOIManual testing260261*60.880190.001608.20.001
2022-04-04T00:22:25LordJuliusManual testing26126262.0008190.010608.10.020
2016-06-20T15:05:43TJAOIManual testing262263*62.0008190.006608.10.013
2022-09-25T22:01:22LordJuliusManual testing2126746.919151.19423e-7608.22.45579e-7
2022-09-25T22:01:22LordJuliusManual testing2126760.880190.002608.20.005
2022-09-25T22:01:22LordJuliusManual testing2126754.992174.27762e-5608.28.79643e-5
2022-09-25T22:01:22LordJuliusManual testing2126762.0008190.013608.10.027
2022-09-21T07:17:25TJAOIManual testing267268*67.504210.040607.50.082
2022-09-25T22:01:22LordJuliusManual testing26726867.504210.040607.50.082
2022-09-25T22:01:22LordJuliusManual testing268269--0.681--
2022-09-25T22:01:22LordJuliusManual testing269270--1.363--
2022-09-25T22:01:22LordJuliusManual testing270271--2.726--


ECM factoring results:
No ECM results for M87723697


Lucas-Lehmer results:
No L-L results for M87723697


PRP results:
No PRP results for M87723697


P-1 factor-bounds graph:
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
271
270
269
268
267
263
262
261
255
240
250
260
270
280
290
2100
Last modified: 2022-09-25T22:01:22+00:00