is 2 891409 - 1
has 268341 decimal digits
takes 0.022 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
Actual26733.333770.1493 %131072131072000.02953.6459 %33.363171.2376 %
Target2440.000054.5455 %1500030000000.006217.9681 %0.006262.7128 %
Difference+23+33.3336+15.6038 %+116072+10107200+0.0232-14.3222 %+33.3569+8.5248 %

Known prime factors (1 factor, 61.8 bits, 0.00693762% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
89140941348844572216673191961.8432319297010251
3 × 13 × 107 × 555786487
2008-01-281075557864870.34461.06481.9887

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.124%
2002-02-17ANONYMOUSv4_computers4096409600--0.00115.045%
2002-04-20ANONYMOUSv4_computers8192819200--0.00217.842%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.602%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00723.317%
2002-12-25ANONYMOUSv4_computers65537655370012--0.01525.980%
2003-08-25ANONYMOUSv4_computers1310721310720012--0.02928.585%
2016-03-17alpertronManual testing3000001000000012---28.456%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-12-08ANONYMOUSv4_computers212570.022
2003-08-31ANONYMOUSv4_computers212580.043
2022-03-07LordJuliusManual testing258259
2004-09-16Sturle Sundev4_computers212600.086


ECM factoring results:
Total ECM effort:14.042 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.046
5000050000002797.823
25000025000000446.173


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28ANONYMOUSv4_computersA080FD2BE972CB__0.022


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-2
4134884457221667319
607E768E6D46C03A
2017-10-14Oliver KruseThreadripper-PC
4134884457221667319
607E768E6D46C03A
2017-12-19ATHec2-1xh
4134884457221667319
607E768E6D46C03A
2020-04-23Oliver KruseAddPrpType5
4134884457221667319
D848122EA2EC817E


CERT results:
No CERT results for M891409


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
260
259
258
257
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00