is 2 56989 - 1
has 17156 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ECM on 2024-02-18, 0.0% done, ETC 2024-02-22
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267521.397476.1194 %61000000079662357998223074,646.834230.8537 %75,168.231783.4875 %
Target2440.000063.6364 %500500000.00002.1178 %0.000064.4065 %
Difference+23+521.3974+12.4830 %+609999500+796623579932230+74,646.8342+28.7359%+75,168.2316+19.0810 %

Known prime factors (3 factors, 115.0 bits, 0.20181076% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
569891709671720.70515
3 × 5
-352.451e-125.347e-91.050e-8
5698936286036091031.75731836
22 × 3 × 7 × 379
2008-08-2673795.020e-94.690e-86.641e-8
5698967419740818917828891962.54859151538734596
22 × 7 × 11 × 2851 × 67362487
2009-06-2028516736248710.7800.00630.0118

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-02kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 1709671
skipped known factor: 3628603609
skipped known factor: 6741974081891782889
---39.735%
2023-04-25JacobZGreatLakes610000000796623579982230
skipped known factor: 1709671
skipped known factor: 3628603609
skipped known factor: 6741974081891782889
--117,12771.014%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-04ATHcolab-Pp215000000150000000027--0.176


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??31.75710


ECM factoring results:
Total ECM effort:114.955 GHz-days
Estimated T-Level:32.896
DigitsB1CompleteFacMiss
2011000174.0230.000%
255000033.3640.000%
302500004.8470.785%
3510000000.57956.040%
4030000000.05894.364%
45110000000.00599.504%


ECM Summary

B1B2factorcurvesGHz-days
10.029
5000050000002550.298
250000250000005853.619
100000010000000042511.91
1000000171800000010.155
1000000171800000010.155
1000000413522884115082.28
212977436972497105016.66


Lucas-Lehmer results:
No L-L results for M56989


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
1709671
3628603609
6741974081891782889
9772C11B87B1F6EA
2017-09-21Oliver KruseManual testing
1709671
3628603609
6741974081891782889
9772C11B87B1F6EA
2017-10-13kkmrkkblmbrbkManual testing
1709671
3628603609
6741974081891782889
9772C11B87B1F6EA
2020-04-17Oliver KruseAddPrpType5
1709671
3628603609
6741974081891782889
3C03CEACF64FF1CC
2024-02-03Wentao HuangManual testing
1709671
3628603609
6741974081891782889
3C03CEACF64FF1CC


CERT results:
No CERT results for M56989


P-1 factor-bounds graph:
B1 = 610000000, B2 = 796623579982230 (P-1 stage 2)
B1 = 610000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.9 ~= 93-bit
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Last modified: 2024-02-22T11:39:03+00:00