is 2 98419 - 1
has 29628 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
Actual267301.912474.6269 %10000000007055259686475012,388.947028.8473 %12,690.859481.9463 %
Target2440.000061.3636 %1100800000.00003.8857 %0.000062.8649 %
Difference+23+301.9124+13.2632 %+999998900+70552596784750+12,388.9470+24.9615%+12,690.8594+19.0814 %

Known prime factors (3 factors, 147.6 bits, 0.14994175% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
984197086169722.75736
22 × 32
-995.722e-122.900e-85.902e-8
984194147841197691238.5942107236
22 × 3 × 41 × 4283
2008-08-264142834.136e-78.768e-71.404e-6
98419901811928559419720290764872686.221458149304788414696497
3 × 152716434929471565499
2011-01-013152716434929471565499163,264,6742.681e+105.007e+10

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-02-05kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 7086169
skipped known factor: 414784119769
---40.749%
2022-08-31George WoltmanSkylakeX100000000070552596864750
skipped known factor: 7086169
skipped known factor: 414784119769
--14,55767.622%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-23nordisweet1640000000200000000027--0.533
2021-04-30nordisweet1640000000200000000065--0.533


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
38.594
12


ECM factoring results:
Total ECM effort:12.963 GHz-days
Estimated T-Level:30.775
DigitsB1CompleteFacMiss
201100085.9520.000%
255000013.4420.000%
302500001.59720.260%
3510000000.15585.637%
4030000000.01398.726%


ECM Summary

B1B2factorcurvesGHz-days
10.002
110001100000300.014
5000050000002730.634
250000250000006297.300
10000001000000001085.014


Lucas-Lehmer results:
No L-L results for M98419


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PCE2CE253BA66241__
2017-10-02kkmrkkblmbrbkManual testing
7086169
414784119769
90181192855941972029076487
E2CE253BA662414D
2017-12-07ATHxps
7086169
414784119769
90181192855941972029076487
E2CE253BA662414D
2020-04-17Oliver KruseAddPrpType5
7086169
414784119769
90181192855941972029076487
B355DC017980F978
2024-02-03Wentao HuangManual testing
7086169
414784119769
90181192855941972029076487
B355DC017980F978


CERT results:
No CERT results for M98419


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 70552596864750 (P-1 stage 2)
B1 = 1000000000 (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=30.78 ~= 86-bit
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Last modified: 2024-03-13T02:15:48+00:00