is 2 2039 - 1
has 614 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
Actual26714,572.789483.5821 %500000000500000000000.110113.7389 %14,572.899585.8377 %
Target2440.001175.0000 %500500000.00000.7651 %0.001175.1913 %
Difference+23+14,572.7882+8.5821 %+499999500+49999950000+0.1101+12.9738%+14,572.8983+10.6465 %

Known prime factors (5 factors, 385.5 bits, 18.90636278% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20394079411.9941
1
2009-10-25111.337e-133.444e-117.009e-11
20395724785341191239.058140382181
37 × 59 × 107 × 601
2009-10-251076016.298e-54.612e-97.499e-9
20394361245012931388515592168.563106945684476002661
3 × 89 × 400545634741583
-8940054563474158338,885751.521,403.6
203984516323006634045785000009772892.7712072494433708534717631192
23 × 3 × 2376581 × 36335363590744693
-2376581363353635907446936.784e+1168,174127,330
203912954516122399605526819483551512597185093084013444
367
53173.1143176683698479550153707573210277733493156715059697
32 × 7 × 601 × 1307 × 1753 × 24810150529 × 19308309066161 × 76441254910781
2009-01-2519308309066161764412549107819.401e+13772.131,353.2

26 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-07kkmrkkblmbrbkManual testing5000000005000000000012
skipped known factor: 4079
skipped known factor: 572478534119
---42.903%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-10-25Carsten Kossendeyv4_computers??
11.994
39.058
4
12


ECM factoring results:
Total ECM effort:8,247.611 GHz-days
Estimated T-Level:58.007
DigitsB1CompleteFacMiss
201100043,209.8270.000%
255000016,444.9640.000%
302500005,634.3560.000%
3510000001,630.6690.000%
403000000408.7530.000%
451100000091.8550.000%
504400000018.6900.000%
551100000003.4823.075%
602600000000.60154.802%
658000000000.09790.758%
7024000000000.01398.737%


ECM Summary

B1B2factorcurvesGHz-days
12.25625e-5
5000050000006000.015
1100000011000000006,24330.99
44000000440000000025,038545.9
1100000001100000000019,9641,088
2600000002600000000044,6165,748
850000000850000000001,980834.0


Lucas-Lehmer results:
No L-L results for M2039


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC3D714AA8BEBD49__
2017-10-02kkmrkkblmbrbkManual testing
4079
572478534119
436124501293138851559
8451632300663404578500000977
12954516122399605526819483551512597185093084013444
367
3D714AA8BEBD49CC
2017-12-07ATHManual testing
4079
572478534119
436124501293138851559
8451632300663404578500000977
12954516122399605526819483551512597185093084013444
367
3D714AA8BEBD49CC
2020-04-17Oliver KruseIOS-1
4079
572478534119
436124501293138851559
8451632300663404578500000977
12954516122399605526819483551512597185093084013444
367
9F8DA0825853CD8F
2020-08-12_p95holder_TFL16_PRPt11-E_b
4079
572478534119
436124501293138851559
8451632300663404578500000977
12954516122399605526819483551512597185093084013444
367
9F8DA0825853CD8F
2022-05-12Jorge CoveiroManual testing
4079
9F8DA0825853CD8F


CERT results:
No CERT results for M2039


P-1 factor-bounds graph:
B1 = 500000000, B2 = 50000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
100
101
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109
1010
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109
1010
1011
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1013
1014
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1016
1017
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=58.01 ~= 176-bit
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Last modified: 2024-03-13T02:15:48+00:00