is 2 2826919 - 1
has 850988 decimal digits
takes 0.218 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0D80B9719A8B1556double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27084.526968.5714 %2627088550310376033.856211.1017 %118.383172.0605 %
Target2630.564665.0794 %1600013000000.00961.8262 %0.574265.7171 %
Difference+7+83.9623+3.4921 %+2611088+5501803760+33.8466+9.2755%+117.8089+6.3435 %

Known prime factors:
No known factors for M2826919

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-28ANONYMOUSv4_computers2048204800--0.0010.684%
2016-10-27JossManual testing174240174240---2.186%
2016-11-03JossManual testing250905250905---2.559%
2016-12-14JossManual testing301086301086---2.758%
2017-03-13JossManual testing36130336130306--0.0665.750%
2019-11-10masserManual testing30000003000000012--0.5529.773%
2020-01-24masserManual testing500000020000000012--1.92813.171%
2023-03-03JossManual testing1000000432341910--3.20113.031%
2023-06-07JossJoss10000002873961090--20.5815.685%
2023-09-15JossJoss10000005765609850--41.1616.644%
2023-10-10JossJoss26270883024564270--21.8516.922%
2023-10-30JossJoss26270885503103760--39.4917.812%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.054
2009-02-13Sturle Sundegigi.ifi2602610.054
2012-02-16markroldgamer2612620.109
2013-01-10dbaughManual testing2622630.347
2015-04-25VictordeHollanderManual testing2632652.016
2016-02-13ramgeisManual testing2652662.643
2017-10-28Gordon SpenceManual testing2662675.287
2019-01-03chuenkitManual testing26726810.57
2021-05-13TJAOIManual testing26826921.15
2023-06-22TJAOIManual testing26927042.29


ECM factoring results:
Total ECM effort:20.970 GHz-days
Estimated T-Level:23.389
DigitsB1CompleteFacMiss
20110007.3080.067%
25500000.67850.771%
302500000.04395.802%
3510000000.00299.799%


ECM Summary

B1B2factorcurvesGHz-days
50000500000014314.48
50000666884070.836
500006750000141.639
500007000000141.670
500002702353572.341


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02Johan Schrooyenv4_computers0D80B9719A8B15560.218
2018-09-09kkmrkkblmbrbkold0D80B9719A8B15560.213


PRP results:
No PRP results for M2826919


CERT results:
No CERT results for M2826919


P-1 factor-bounds graph:
B1 = 1000000, B2 = 5765609850 (P-1 stage 2)
B1 = 2627088, B2 = 5503103760 (P-1 stage 2)
B1 = 2627088, B2 = 3024564270 (P-1 stage 2)
B1 = 1000000, B2 = 2873961090 (P-1 stage 2)
B1 = 1000000, B2 = 432341910 (P-1 stage 2)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 3000000, B2 = 30000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2627088 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 361303, B2 = 3613030 (P-1 stage 2)
B1 = 361303 (P-1 stage 1)
B1 = 301086 (P-1 stage 1)
B1 = 250905 (P-1 stage 1)
B1 = 174240 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
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109
1010
TF factor-bounds graph:
270
269
268
267
266
265
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=23.39 ~= 61-bit
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Last modified: 2024-03-13T02:15:48+00:00