is 2 8783 - 1
has 2644 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
Actualunknown4000000004000000000.070730.0118%0.070730.0118%
Target2440.000368.1818%500800000.00001.2143%0.000368.5682%
Difference-44-0.0003-68.1818%+399999500+399920000+0.0707+28.7975%+0.0705-38.5563%

Known prime factors (6 factors, 382.6 bits, 4.35641148% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8783228359617.80113
13
-1131.994e-122.924e-103.599e-10
8783469126730331135.4492670652
22 × 449 × 1487
-44914875.541e-78.939e-81.616e-7
87831788742442471237.38010182981
3 × 563 × 6029
-56360292.311e-61.522e-72.026e-7
8783349387868848950594260781832684.8531989000733513324571677
7 × 13 × 1997 × 4567 × 2396538854453
-45672396538854453507,578,10323.08743.121
8783242722587212692520044236406246331100.937138177494712907047730978257
3 × 19 × 37 × 61 × 1074065828050797501193
-6110740658280507975011932.107e+131.035e+101.933e+10
87839339260893629232893501690117299332106.2035316669072998538593590851712
27 × 31148182073 × 1333512082196473
-3114818207313335120821964731.565e+1312,85223,994

57 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27Seth_TrManual testing100000000100000000-
skipped known factor: 228359
skipped known factor: 46912673033
skipped known factor: 178874244247
--0.018--26.326%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 228359
skipped known factor: 46912673033
skipped known factor: 178874244247
--0.071--30.012%


Trial Factoring results:
No TF results for M8783


ECM factoring results:
Total ECM effort:3,118.406 GHz-days
Estimated T-Level:46.509
DigitsB1CompleteFacMiss
20110005,592.2000.000%
25500001,572.9360.000%
30250000424.4420.000%
35100000087.8060.000%
40300000015.2410.000%
45110000002.28910.137%
50440000000.30273.948%
551100000000.03696.491%
602600000000.00499.627%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000002,71120.69
30000006000000001,00010.12
11000000365788846629,6003,088


Lucas-Lehmer results:
No L-L results for M8783


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC3D114B2ABCD288__?
2017-09-21Oliver KruseManual testing3D114B2ABCD288__?
2017-10-02kkmrkkblmbrbkManual testing
228359
46912673033
178874244247
34938786884895059426078183
2427225872126925200442364062463
93392608936292328935016901172993
3D114B2ABCD288__no
2017-12-07ATHManual testing
228359
46912673033
178874244247
34938786884895059426078183
2427225872126925200442364062463
93392608936292328935016901172993
3D114B2ABCD288__no
2020-04-17Oliver KruseManual testing
228359
46912673033
178874244247
34938786884895059426078183
2427225872126925200442364062463
93392608936292328935016901172993
44CAF04CC1E6B8__no


P-1 factor-bounds graph:
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
1011
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=46.51 ~= 138-bit
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2023-06-05T21:50:05+00:00