is 2 218249 - 1
has 65700 decimal digits
takes 0.001 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
Actual267136.146973.1343 %30000000100708329922204,464.407323.2370 %4,600.554179.3771 %
Target2440.000059.0909 %40004500000.00029.3771 %0.000262.9270 %
Difference+23+136.1469+14.0434 %+29996000+10070832542220+4,464.4070+13.8599%+4,600.5539+16.4501 %

Known prime factors (2 factors, 141.8 bits, 0.06497757% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
218249893834494097950391756.311204774018231
3 × 137 × 498233621
2002-03-311374982336210.06900.22090.4125
218249547869614399821105303461672685.502125514805199524649667
33 × 11 × 422608771715571211
2018-11-042742260877171557121156,162,132187,333,077349,886,019

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-06ANONYMOUSv4_computers10000010000000--0.00524.647%
2021-05-02Dylan Delgadolaptop-ryzen737006500000604500000
skipped known factor: 89383449409795039
--0.31838.844%
2021-05-30Oliver KruseOllaptop300000003000000000
skipped known factor: 89383449409795039
--1.56143.744%
2022-03-02Oliver KruseThreadripper-PC3000000010070832992220
skipped known factor: 89383449409795039
--5,54762.816%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2002-03-31ANONYMOUSv4_computers??
56.311
17
2003-08-25ANONYMOUSv4_computers??
56.311
17
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-12ANONYMOUSv4_computers212540.011
2022-03-07LordJuliusManual testing254255
2001-02-04ANONYMOUSv4_computers212560.044


ECM factoring results:
Total ECM effort:15.473 GHz-days
Estimated T-Level:29.118
DigitsB1CompleteFacMiss
201100055.4170.000%
25500007.8630.038%
302500000.82443.889%
3510000000.06793.478%
4030000000.00599.551%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.673
250000250000003279.217
2500002500000020.060
25000033000000210.691
25000036000000982.895
25000036250000140.479
25000038500000140.458


Lucas-Lehmer results:
No L-L results for M218249


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
89383449409795039
EB097BA4BF4CEDBA
2017-09-22Oliver KruseManual testing
89383449409795039
EB097BA4BF4CEDBA
2017-10-12Oliver KruseGTX-0
89383449409795039
EB097BA4BF4CEDBA
2017-11-06kkmrkkblmbrbkc4.xlarge
89383449409795039
EB097BA4BF4CEDBA
2018-11-05_p95holder_TFL17_PRPt15-E_g
89383449409795039
54786961439982110530346167
7F624C10457E9953
2018-11-05kkmrkkblmbrbkc5.large
89383449409795039
54786961439982110530346167
7F624C10457E9953
2023-08-03USAFSS6917th_Scty_Sq
89383449409795039
54786961439982110530346167
7F624C10457E9953


CERT results:
dateuseridcompid
2023-08-03curtiscwcm128--12l


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 6500000, B2 = 604500000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 6500000 (P-1 stage 1)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
TF factor-bounds graph:
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.12 ~= 80-bit
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Last modified: 2024-03-13T02:15:48+00:00