is 2 16883 - 1
has 5083 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
Actual2671,759.990477.6119 %630000000014208439543047750330,194.835435.5778 %331,954.825885.5771 %
Target2440.000165.9091 %500500000.00001.4821 %0.000166.4143 %
Difference+23+1,759.9902+11.7028 %+6299999500+14208439542997750+330,194.8354+34.0957%+331,954.8257+19.1628 %

Known prime factors (5 factors, 318.2 bits, 1.88452448% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1688333767515.0431
1
-112.586e-134.265e-108.681e-10
1688312054463823.523357
3 × 7 × 17
2008-08-267177.131e-113.218e-96.077e-9
168831230148631777824811856.7723643157708280
23 × 32 × 5 × 41 × 379 × 651257
2008-08-263796512570.86401.529e-52.827e-5
168833229601365142060717308085782013098.0279564654875146776986637700
22 × 52 × 7 × 2069 × 734443 × 8991925028633
2011-04-0573444389919250286336.106e+12208.97390.29
168833700338629347969632674222180972158162338124.7991095877103994541738042475324578617
3 × 365292367998180579347491774859539
2021-12-2033652923679981805793474917748595399.429e+128.489e+211.586e+22

26 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-12-16Lisander ViaeneDesktop100000000100000000
skipped known factor: 33767
skipped known factor: 12054463
skipped known factor: 123014863177782481
--0.04627.346%
2023-05-24JacobZGreatLakes630000000014208439543047750
skipped known factor: 33767
skipped known factor: 12054463
skipped known factor: 123014863177782481
skipped known factor: 322960136514206071730808578201
--359,19275.312%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
23.523
8


ECM factoring results:
Total ECM effort:24.742 GHz-days
Estimated T-Level:36.278
DigitsB1CompleteFacMiss
2011000438.8850.000%
255000094.2590.000%
3025000015.9020.000%
3510000002.20211.062%
4030000000.25677.453%
45110000000.02697.451%
50440000000.00299.771%


ECM Summary

B1B2factorcurvesGHz-days
10.000
10.014
500005000000680.019
250000250000004580.763
10000001000000001,54710.24
300000030000000059912.00
3000000300000000851.703


Lucas-Lehmer results:
No L-L results for M16883


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
33767
12054463
123014863177782481
322960136514206071730808578201
320CEF5C7FBE308D
2017-10-02kkmrkkblmbrbkManual testing
33767
12054463
123014863177782481
322960136514206071730808578201
320CEF5C7FBE308D
2017-12-07ATHManual testing
33767
12054463
123014863177782481
322960136514206071730808578201
320CEF5C7FBE308D
2020-04-17Oliver KruseManual testing
33767
12054463
123014863177782481
322960136514206071730808578201
04ED01A905D4A1D1
2021-12-20mikrNitron
33767
12054463
123014863177782481
322960136514206071730808578201
37003386293479696326742221809721581623
04ED01A905D4A1D1
2022-05-12Jorge CoveiroManual testing
33767
04ED01A905D4A1D1


CERT results:
No CERT results for M16883


P-1 factor-bounds graph:
B1 = 6300000000, B2 = 14208439543047750 (P-1 stage 2)
B1 = 6300000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
101
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106
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108
109
1010
100
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103
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109
1010
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1016
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1019
1020
1021
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1024
1025
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1027
1028
1029
1030
1031
1032
1033
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=36.28 ~= 104-bit
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Last modified: 2024-03-13T02:15:48+00:00