is 2 8853223 - 1
has 2665086 decimal digits
takes 2.312 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7AACFD765BB0F95Ddouble-checked
PRPBC5638C8CDF77F34PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272108.021066.6667%3000000422555595088.237810.4652%196.258770.1551%3.4884%
PrimeNet2640.402062.5000%3600010000000.03353.3181%0.435663.7443%1.2443%
GPU722686.732664.7059%5500012000000.04442.3035%6.777065.5189%0.8130%
Difference+4+101.2884+1.9608%+2945000+4224355950+88.1933+8.1618%+189.4817+4.6362%+2.6754%

Known prime factors (1 factor, 127.6 bits, 0.00144087% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
885322325137031132300421700010768019642749011139127.56314196542396085821909157132955785
3 × 5 × 229 × 347 × 3361 × 25309 × 26501 × 56809 × 93004393
2022-07-0256809930043932.154e+101.93883.5832

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-01-09T00:00:00ANONYMOUSv4_computers4000040000---0.015--0.311%
2012-06-20T11:32:00firejuggler1050001916250---0.077--1.817%
2022-07-02T04:45:32linamentMIWL29999002999900---1.136--2.852%
2022-07-02T23:43:17linamentU2K3000000422555595039127.56388.244.623176.510.465%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21262--0.069--
1999-02-14T00:00:00ANONYMOUSv4_computers21263--0.180--
1999-11-24T00:00:00ANONYMOUSv4_computers21263--0.180--
1999-12-01T00:00:00ANONYMOUSv4_computers21263--0.180--
2000-03-08T00:00:00ANONYMOUSv4_computers21263--0.180--
1999-11-17T00:00:00ANONYMOUSv4_computers21264--0.402--
2014-01-13T13:08:00lycornManual testing264265--0.422--
2015-05-25T09:24:00VictordeHollanderManual testing265266--0.844--
2016-02-19T03:46:06snme2pm1Manual testing266267--1.688--
2018-04-15T13:30:08monstManual testing267268--3.376--
2020-05-22T08:18:11TJAOIManual testing268269--6.753--
2020-10-02T18:51:09-Anonymous-Manual testing269270--13.51--
2021-11-18T19:57:24mikrManual testing270271--27.01--
2022-05-07T04:27:35linamentManual testing271272--54.02--


ECM factoring results:
Total ECM effort:1.191 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-12T00:00:00ANONYMOUSv4_computers7AACFD765BB0F95D2.312
2003-05-26T00:00:00Team Prime Ribv4_computers7AACFD765BB0F95D2.312


PRP results:
dateuseridcompidcofactorsres64PRP
2022-07-09T21:38:55firejugglerMaison
251370311323004217000107680196427490111
BC5638C8CDF77F34no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 4225555950 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2999900 (P-1 stage 1)
B1 = 105000, B2 = 1916250 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 40000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-07-09T21:38:55+00:00