is 2 89371 - 1
has 26904 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
Actual267332.478374.6269 %10000000007055259686475012,388.947028.7263 %12,721.425381.9156 %
Target2440.000061.3636 %800500000.00002.9375 %0.000062.4986 %
Difference+23+332.4783+13.2632 %+999999200+70552596814750+12,388.9470+25.7887%+12,721.4253+19.4170 %

Known prime factors (5 factors, 304.5 bits, 0.34074102% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8937153788830071032.32530093
3 × 7 × 1433
-714339.691e-92.729e-74.709e-7
89371423722367652971445.268237058088
23 × 29632261
2008-08-268296322616.684e-50.00520.0097
893711286541016964811546.870719775440
24 × 5 × 977 × 9209
2008-08-2697792090.00024.593e-66.407e-6
8937118559881725603598019853832580.61810383615336968142921
33 × 29 × 109 × 2111 × 57633115613
2014-09-102111576331156134,816,15610.11818.897
893718609604736930523246815516686493099.4424816777666653905207962044
22 × 3 × 13 × 89 × 576683 × 7248977 × 82990451
2016-11-297248977829904511.944e+120.03670.0475

26 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-11-29kkmrkkblmbrbkManual testing10000000010000000013099.4420.32230.034%
2022-06-12George WoltmanSkylakeX10000000001000000000
skipped known factor: 5378883007
skipped known factor: 42372236765297
skipped known factor: 128654101696481
skipped known factor: 860960473693052324681551668649
--2.69935.773%
2022-06-19George WoltmanSkylakeX100000000070552596864750
skipped known factor: 5378883007
skipped known factor: 42372236765297
skipped known factor: 128654101696481
skipped known factor: 1855988172560359801985383
skipped known factor: 860960473693052324681551668649
--14,55767.449%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2024-01-17masserGimli1300000068900000027--0.180
2024-01-19masserLegolas26000000137800000065--0.360
2024-01-21masserAragorn5200000027560000007561--0.720


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
45.268
14
2008-08-26ANONYMOUSManual testing??
46.870
15


ECM factoring results:
Total ECM effort:65.910 GHz-days
Estimated T-Level:31.154
DigitsB1CompleteFacMiss
201100098.9900.000%
255000016.7390.000%
302500002.16611.461%
3510000000.23179.384%
4030000000.02197.928%
45110000000.00299.836%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002040.471
500005000000770.179
250000250000005856.785
10000001000000001506.484
132096966161645555051.99


Lucas-Lehmer results:
No L-L results for M89371


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
5378883007
42372236765297
128654101696481
1855988172560359801985383
860960473693052324681551668649
FD267A6487227A88
2017-09-21Oliver KruseManual testing
5378883007
42372236765297
128654101696481
1855988172560359801985383
860960473693052324681551668649
FD267A6487227A88
2017-11-06kkmrkkblmbrbkc4.xlarge
5378883007
42372236765297
128654101696481
1855988172560359801985383
860960473693052324681551668649
FD267A6487227A88
2020-04-17Oliver KruseAddPrpType5
5378883007
42372236765297
128654101696481
1855988172560359801985383
860960473693052324681551668649
BE1957BF2F339138
2024-02-03Wentao HuangManual testing
5378883007
42372236765297
128654101696481
1855988172560359801985383
860960473693052324681551668649
BE1957BF2F339138


CERT results:
No CERT results for M89371


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 70552596864750 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
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=31.15 ~= 87-bit
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Last modified: 2024-03-13T02:15:48+00:00