is 2 2389 - 1
has 720 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712,437.805682.0896 %500000000500000000000.132113.8803 %12,437.937784.5756 %
Target2440.001072.7273 %500500000.00000.8052 %0.001072.9469 %
Difference+23+12,437.8046+9.3623 %+499999500+49999950000+0.1321+13.0751%+12,437.9367+11.6287 %

Known prime factors (7 factors, 347.5 bits, 14.54737941% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
238971671516.12915
3 × 5
2009-10-25353.666e-121.285e-102.523e-10
2389172009617.39236
22 × 32
2009-10-25997.366e-123.719e-107.569e-10
2389267569618.03056
23 × 7
2009-10-25881.480e-113.306e-106.728e-10
2389403411319928.58884431
84431
2009-10-251844311.909e-81.901e-73.551e-7
238955758806911774861431962.2741166990517199139
23 × 50738718139093
-2350738718139093299.76114.24213.37
238920932714450205759963340847272890.758438106204483167851890767
32 × 3801263 × 62956489 × 203408209
-629564892034082091.287e+110.00290.0053
23892678009920133779878437197360553737735114.3675604876350217203596561735790192
24 × 41 × 73 × 2693521 × 43452920466691959079
-2693521434529204666919590796.649e+1397,834,250182,727,135

120 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-09kkmrkkblmbrbkManual testing5000000005000000000012
skipped known factor: 71671
skipped known factor: 172009
skipped known factor: 267569
skipped known factor: 403411319
skipped known factor: 2093271445020575996334084727
---43.185%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-10-25Carsten Kossendeyv4_computers??
16.129
17.392
18.030
28.588
5
6
6
9


ECM factoring results:
Total ECM effort:9,324.064 GHz-days
Estimated T-Level:57.857
DigitsB1CompleteFacMiss
201100039,677.0000.000%
255000015,093.3710.000%
302500005,186.5600.000%
3510000001,516.5680.000%
403000000382.9260.000%
451100000086.5590.000%
504400000017.6960.000%
551100000003.3063.667%
602600000000.57156.468%
658000000000.09291.210%
7024000000000.01298.795%


ECM Summary

B1B2factorcurvesGHz-days
1100000011000000006,83642.94
44000000440000000014,994392.3
1100000001100000000019,6001,282
2600000002600000000045,0806,970
850000000850000000001,260636.9


Lucas-Lehmer results:
No L-L results for M2389


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PCD0151E386C2E3D__
2017-10-02kkmrkkblmbrbkManual testing
71671
172009
267569
403411319
5575880691177486143
2093271445020575996334084727
26780099201337798784371973605537377
D0151E386C2E3DC5
2017-12-07ATHManual testing
71671
172009
267569
403411319
5575880691177486143
2093271445020575996334084727
26780099201337798784371973605537377
D0151E386C2E3DC5
2020-04-17Oliver KruseIOS-1
71671
172009
267569
403411319
5575880691177486143
2093271445020575996334084727
26780099201337798784371973605537377
5B4DBEBBF89E30AF
2024-02-03Wentao HuangManual testing
71671
172009
267569
403411319
5575880691177486143
2093271445020575996334084727
26780099201337798784371973605537377
5B4DBEBBF89E30AF


CERT results:
No CERT results for M2389


P-1 factor-bounds graph:
B1 = 500000000, B2 = 50000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=57.86 ~= 176-bit
250
260
270
280
290
2100
2110
2120
2130
2140
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Last modified: 2024-03-13T02:15:48+00:00