is 2 55529 - 1
has 16716 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
Actual267535.106376.1194 %63000000082076369316942076,908.862430.8963 %77,443.968783.4976 %
Target2440.000063.6364 %500500000.00002.1021 %0.000064.4008 %
Difference+23+535.1063+12.4830 %+629999500+820763693119420+76,908.8624+28.7941%+77,443.9687+19.0968 %

Known prime factors (3 factors, 208.4 bits, 0.37530630% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
55529120020407253931443.448108070024
23 × 19 × 710987
1999-08-31197109872.110e-56.665e-50.0001
5552916938895581252658583085592580.48715252296620912188751
37 × 739 × 1063 × 364073 × 1441343
2010-05-0636407314413434,409,7060.00070.0013
55529267710581802637860411753532684.469241054747791818563644
22 × 3 × 59 × 1697 × 7817 × 25666135207
2016-07-1378172566613520770,555,3432.40504.4918

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-29kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 12002040725393
skipped known factor: 1693889558125265858308559
---39.687%
2023-04-21JacobZGreatLakes630000000820763693169420
skipped known factor: 12002040725393
skipped known factor: 1693889558125265858308559
skipped known factor: 26771058180263786041175353
--120,67771.041%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-02ATHcolab-Pp215000000150000000027--0.176
2021-11-13fbaurubuntu50000000400000000065--0.493


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-08-31ANONYMOUSv4_computers??
43.448
14


ECM factoring results:
Total ECM effort:145.951 GHz-days
Estimated T-Level:33.401
DigitsB1CompleteFacMiss
2011000192.6860.000%
255000037.5600.000%
302500005.5260.398%
3510000000.68050.653%
4030000000.07093.200%
45110000000.00699.373%


ECM Summary

B1B2factorcurvesGHz-days
10.010
5000050000002720.319
250000250000004933.050
25000025000000910.563
100000010000000047012.98
1000000330801471041.132
100000041350859555017.48
193624857890933105024.92
2237801661611951015085.50


Lucas-Lehmer results:
No L-L results for M55529


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
12002040725393
1693889558125265858308559
26771058180263786041175353
C71F0F6A5FAD13E4
2017-10-02kkmrkkblmbrbkManual testing
12002040725393
1693889558125265858308559
26771058180263786041175353
C71F0F6A5FAD13E4
2017-12-07ATHxps
12002040725393
1693889558125265858308559
26771058180263786041175353
C71F0F6A5FAD13E4
2020-04-17Oliver KruseAddPrpType5
12002040725393
1693889558125265858308559
26771058180263786041175353
2C4272A26360A27D
2024-02-03Wentao HuangManual testing
12002040725393
1693889558125265858308559
26771058180263786041175353
2C4272A26360A27D


CERT results:
No CERT results for M55529


P-1 factor-bounds graph:
B1 = 630000000, B2 = 820763693169420 (P-1 stage 2)
B1 = 630000000 (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=33.4 ~= 94-bit
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Last modified: 2024-03-03T02:29:32+00:00