is 2 55633 - 1
has 16748 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
Actual267534.106076.1194 %63000000082076369316942076,908.862430.8987 %77,442.968483.4982 %
Target2440.000063.6364 %500500000.00002.1033 %0.000064.4012 %
Difference+23+534.1059+12.4830 %+629999500+820763693119420+76,908.8624+28.7954%+77,442.9684+19.0970 %

Known prime factors (2 factors, 138.5 bits, 0.24902721% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5563368984921826.040620
22 × 5 × 31
-5311.607e-101.104e-81.750e-8
55633735080229419736460205111883552228734112.50266065125862324201481594726471
33 × 347071 × 7050017182131076551163
2016-06-2934707170500171821310765511632.308e+126.606e+111.234e+12

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-29kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 68984921
---39.690%
2023-04-22JacobZGreatLakes630000000820763693169420
skipped known factor: 68984921
--120,67771.045%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-02ATHcolab-Pp215000000150000000027--0.176
2021-11-14fbaurubuntu50000000480000000065--0.567


Trial Factoring results:
5758596061626364656667
No TF results for M55633


ECM factoring results:
Total ECM effort:132.924 GHz-days
Estimated T-Level:33.594
DigitsB1CompleteFacMiss
2011000188.6990.000%
255000036.5590.000%
302500005.5660.382%
3510000000.71948.735%
4030000000.07992.387%
45110000000.00899.239%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.329
25000025000000340.210
250000250000005503.403
100000010000000046412.96
1000000330801471041.132
2237137553482437915072.44
300000099242693555042.45


Lucas-Lehmer results:
No L-L results for M55633


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop9976229970F1F4__
2017-10-02kkmrkkblmbrbkManual testing
68984921
7350802294197364602051118835522287
9976229970F1F4EA
2017-12-07ATHxps
68984921
7350802294197364602051118835522287
9976229970F1F4EA
2020-04-17Oliver KruseAddPrpType5
68984921
7350802294197364602051118835522287
160538F08DBA7B10
2024-02-03Wentao HuangManual testing
68984921
7350802294197364602051118835522287
160538F08DBA7B10


CERT results:
No CERT results for M55633


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=33.59 ~= 95-bit
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Last modified: 2024-02-09T03:30:02+00:00