is 2 58363 - 1
has 17570 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ECM on 2024-02-21, 0.0% done, ETC 2024-03-01
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267509.122576.1194 %59000000029453465429388027,599.674729.5612 %28,108.797283.1788 %
Target2440.000063.6364 %500500000.00002.1322 %0.000064.4117 %
Difference+23+509.1225+12.4830 %+589999500+294534654243880+27,599.6747+27.4290%+28,108.7972+18.7671 %

Known prime factors (5 factors, 129.6 bits, 0.22205453% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
58363933809619.8338
23
-881.197e-121.376e-82.800e-8
583637587191722.85565
5 × 13
2008-08-265139.574e-129.349e-91.750e-8
58363128048423926.9321097
1097
2008-08-26110971.532e-101.044e-71.922e-7
58363336754511928.3272885
5 × 577
2008-08-2655776.127e-106.220e-81.012e-7
5836333710468811031.65128880
24 × 5 × 192
2008-08-263613614.902e-96.209e-71.264e-6

26 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-07kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 933809
skipped known factor: 7587191
skipped known factor: 128048423
skipped known factor: 336754511
skipped known factor: 3371046881
---39.779%
2023-05-03JacobZPM1Server590000000294534654293880
skipped known factor: 933809
skipped known factor: 7587191
skipped known factor: 128048423
skipped known factor: 336754511
skipped known factor: 3371046881
--34,90469.211%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-05ATHcolab-Pp215000000150000000027--0.275


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??22.8557
2008-08-26ANONYMOUSManual testing??26.9329
2008-08-26ANONYMOUSManual testing??28.3279
2008-08-26ANONYMOUSManual testing??31.65110


ECM factoring results:
Total ECM effort:63.001 GHz-days
Estimated T-Level:32.668
DigitsB1CompleteFacMiss
2011000166.3230.000%
255000031.3280.000%
302500004.5011.110%
3510000000.53458.654%
4030000000.05394.826%
45110000000.00599.547%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.327
250000250000005853.619
100000010000000038310.83
100000070200000010.073
100000070200000010.073
100000070200000010.073
100000070200000010.073
1000000781566077503.981
168911349620671105021.38
195188225524393295011.90
221128122451811895010.88


Lucas-Lehmer results:
No L-L results for M58363


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
933809
7587191
128048423
336754511
3371046881
BF042B409A07854E
2017-09-21Oliver KruseManual testing
933809
7587191
128048423
336754511
3371046881
BF042B409A07854E
2017-11-06kkmrkkblmbrbkc4.xlarge
933809
7587191
128048423
336754511
3371046881
BF042B409A07854E
2020-04-17Oliver KruseAddPrpType5
933809
7587191
128048423
336754511
3371046881
A96F54134A16118D
2024-02-03Wentao HuangManual testing
933809
7587191
128048423
336754511
3371046881
A96F54134A16118D


CERT results:
No CERT results for M58363


P-1 factor-bounds graph:
B1 = 590000000, B2 = 294534654293880 (P-1 stage 2)
B1 = 590000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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109
100
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109
1010
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1013
1014
1015
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.67 ~= 92-bit
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Last modified: 2024-02-22T09:58:04+00:00