is 2 2243 - 1
has 676 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actualunknown----0.00000.0000%
Target2440.001072.7273%500500000.00000.7890%0.001072.9425%
Difference-44-0.0010-72.7273%-500-500000.0000-0.7890%-0.0010-72.9425%

Known prime factors (6 factors, 2,243.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2243223734577657652032872064.2784987395846135801
32 × 72 × 554467 × 20396683		-554467203966831,594.46.759e-58.577e-5
2243162185560848209926698541298910544384610796143140.219361537139652719408601295806755560375860
22 × 3 × 5 × 82522338827 × 73018034629921361467121353		2011-12-1882522338827730180346299213614671213537.693e+131.644e+143.071e+14
22433358429162655598819243509746651389480391216144144.5917486467148139988451278443483395874900560
24 × 5 × 7 × 6006251 × 13565333 × 1000470841 × 164002521052217		2009-03-0210004708411640025210522178.499e+13369.29689.66
22432550534490408833925030678056906217025958050030347154.1595685542778441448785177614928457906879086157
19 × 948133 × 17069900662013 × 18489198040806492476207		2012-06-0817069900662013184891980408064924762077.791e+134.163e+107.775e+10
2243666947881564836056703233870413847058202217060947349162.1901486731791272483407720093335741968475707126752
25 × 3 × 19 × 29 × 28106695993505811549457299904377806936387		2009-03-0232281066959935058115494572999043778069363877.589e+136.328e+281.182e+29
2243
click to show decimal representation
4751,577.5632012-06-08

26 Composite Factors:
P-1 results:
No P-1 results for M2243


Trial Factoring results:
No TF results for M2243


ECM factoring results:
Total ECM effort:62,210.794 GHz-days
Estimated T-Level:48.713
DigitsB1CompleteFacMiss
201100024,197.8170.000%
25500006,398.5160.000%
302500001,483.3510.000%
351000000268.5730.000%
40300000041.6420.000%
45110000005.7860.307%
50440000000.74347.584%
551100000000.09091.365%
602600000000.00899.177%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
10.00000e+0
10.00000e+0
500000050000000000064,00062,026
1100000011000000003,08120.15
4400000044000000006,265163.9
11000000011000000000110.720
20000000020000000010.081
21000000021000000010.085


Lucas-Lehmer results:
No L-L results for M2243


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-09kkmrkkblmbrbkc4.large
22373457765765203287
1621855608482099266985412989105443846107961
33584291626555988192435097466513894803912161
25505344904088339250306780569062170259580500303
6669478815648360567032338704138470582022170609473
PRP


P-1 factor-bounds graph:
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=48.71 ~= 145-bit
250
260
270
280
290
2100
2110
2120
2130
2140
2150
2160
2170
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Last modified: 2023-10-02T12:12:48+00:00