is 2 11783 - 1
has 3548 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
Actual2672,521.761779.1045%1000000000001221925735127097001,903,855.219340.5262%1,906,376.980987.5726%
Target2440.000268.1818%500100000.00001.3289%0.000268.6047%
Difference+23+2,521.7615+10.9227%+99999999500+122192573512699700+1,903,855.2193+39.1973%+1,906,376.9807+18.9680%

Known prime factors (5 factors, 228.8 bits, 1.94162925% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1178323567514.5241
1
-111.853e-132.860e-105.820e-10
1178325451281824.6011080
23 × 33 × 5
2008-08-2627272.340e-107.721e-91.571e-8
117834892717539911238.83220761765
5 × 4152353
2008-08-26541523535.869e-66.470e-50.0001
1178347129260154172350171962.031199988373734076
22 × 3 × 193 × 269761 × 320101
2008-08-2626976132010174.4287.793e-50.0002
117835363425015728577885543413772788.79322759165814005677185536
29 × 11 × 251 × 263 × 61215897874771
2008-10-16512612158978747719.069e+9953.781,781.4

26 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-07kkmrkkblmbrbkManual testing1000000001000000000012-
skipped known factor: 23567
skipped known factor: 25451281
skipped known factor: 489271753991
skipped known factor: 4712926015417235017
--0.183--12.183%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 23567
skipped known factor: 25451281
skipped known factor: 489271753991
skipped known factor: 4712926015417235017
--0.114--7.727%
2023-03-25-Anonymous-T58101000000000001221925735127097002788.7931,903,8554.64774e-63,807,71040.526%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??24.60184.43414e-110.0003.88935e-9
2008-08-26ANONYMOUSManual testing??38.832122.76133e-60.0000.000
2011-02-05Oscar Östlinv4_computers??77.95824829,9054.93874e-61,763,733


ECM factoring results:
Total ECM effort:58.213 GHz-days
Estimated T-Level:40.546
DigitsB1CompleteFacMiss
20110001,222.3960.000%
2550000291.0800.000%
3025000053.9600.000%
3510000008.1060.030%
4030000001.01036.431%
45110000000.10989.655%
50440000000.01098.976%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000003100.064
25000025000000580.060
10000001000000002,62510.80
100000015000000000.00000e+0
100000022309290830.017
2000000200000000420.346
30000003000000003,80146.92


Lucas-Lehmer results:
No L-L results for M11783


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
23567
25451281
489271753991
4712926015417235017
536342501572857788554341377
3E382C2AD4324C28no
2017-09-21Oliver KruseManual testing
23567
25451281
489271753991
4712926015417235017
536342501572857788554341377
3E382C2AD4324C28no
2017-10-02kkmrkkblmbrbkManual testing
23567
25451281
489271753991
4712926015417235017
536342501572857788554341377
3E382C2AD4324C__no
2017-12-07ATHManual testing
23567
25451281
489271753991
4712926015417235017
536342501572857788554341377
3E382C2AD4324C__no
2020-04-17Oliver KruseManual testing
23567
25451281
489271753991
4712926015417235017
536342501572857788554341377
822A94CD4BDC82__no
2022-05-12Jorge CoveiroManual testing
23567
822A94CD4BDC8225no


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 122192573512709700 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
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
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=40.55 ~= 118-bit
250
260
270
280
290
2100
2110
2120
Last modified: 2023-04-26T21:34:10+00:00