is 2 88019 - 1
has 26497 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1E48BE429A1FF314double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267337.585374.6269%10000000001289222044110229.376822.8313%566.962080.4199%5.7930%
PrimeNet2400.000057.5000%900150000.00007.0664%0.000060.5032%3.0032%
GPU722440.000061.3636%500100000.00002.3942%0.000062.2887%0.9250%
Difference+23+337.5852+13.2632%+999999500+1289222034110+229.3768+20.4371%+566.9620+18.1312%+4.8680%

Known prime factors (1 factor, 126.9 bits, 0.14412101% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8801915375232404744907290351263520818843915339126.854873404174368312937567528801782504
23 × 31 × 149 × 997 × 1700359 × 287706841 × 48460885189
2022-06-25287706841484608851891.686e+129.384115.890

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.002--2.311%
2001-08-18T00:00:00Alex Kruppav4_computers1000000100000000---0.021--5.379%
2002-05-25T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.283%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.283%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.001--1.882%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.609%
2003-04-03T00:00:00ANONYMOUSv4_computers26214426214400---0.005--3.453%
2003-05-11T00:00:00ANONYMOUSv4_computers1048576104857600---0.022--5.454%
2003-06-17T00:00:00ANONYMOUSv4_computers2097152209715200---0.043--6.594%
2003-08-31T00:00:00ANONYMOUSv4_computers4194304419430400---0.086--7.819%
2003-12-13T00:00:00ANONYMOUSv4_computers8388608838860800---0.173--9.112%
2004-01-07T00:00:00ANONYMOUSv4_computers167772161677721600---0.346--10.455%
2012-08-22T20:15:00LaurVpinch1000000002000000000---0.656--11.614%
2022-06-24T13:33:53George WoltmanSkylakeX1000000000128922204411039126.854229.40.000458.822.831%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-29T00:00:00ANONYMOUSv4_computers252253--0.007--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.027--
2000-12-07T00:00:00ANONYMOUSv4_computers21256--0.109--
2002-09-14T00:00:00ANONYMOUSv4_computers21257--0.218--
2016-02-23T04:51:08LaurVManual testing257258--0.218--
2016-02-23T04:50:35LaurVManual testing258259--0.436--
2009-01-05T12:03:00Sturle Sundegibus.ifi259260--0.872--
2013-10-22T08:24:00lycornasteroid260261--1.745--
2014-08-06T18:58:00Sid & AndyBuzz261262--3.490--
2016-02-18T22:47:33snme2pm1G4262263--11.15--
2017-03-07T05:05:18snme2pm1g10263264--22.31--
2018-11-16T05:53:18YxinityManual testing264265--42.45--
2018-11-15T22:33:17YxinityYGSMainFrame264265--42.45--
2020-07-05T15:12:10YxinityManual testing265266--84.90--
2020-07-14T09:49:50YxinityManual testing265266--84.90--
2020-07-02T14:14:38YxinityElena265266--84.90--


ECM factoring results:
Total ECM effort:201.729 GHz-days
Estimated T-Level:36.520
DigitsB1CompleteFacMiss
2011000468.0000.000%
2550000104.2350.000%
3025000018.1410.000%
3510000002.5737.632%
4030000000.30473.782%
45110000000.03196.929%
50440000000.00399.719%


ECM Summary

B1B2factorcurvesGHz-days
25000025000000881.021
10000001000000001,71679.61
3000000300000000869120.9
300000044700000010.161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:58:00MadPooManual testing1E48BE429A1FF3140.000


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-25T03:29:22George WoltmanManual testing
153752324047449072903512635208188439153
53116DF88E8AF890no
2022-06-25T18:45:53LordJuliusWhiteBox
153752324047449072903512635208188439153
53116DF88E8AF890no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 1289222044110 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (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 = 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
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109
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TF factor-bounds graph:
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264
263
262
261
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Last modified: 2022-07-01T08:49:47+00:00