is 2 910453 - 1
has 274074 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
Actual26732.636470.1493 %131072131072000.02953.6567 %32.665971.2408 %
Target2440.000054.5455 %1500030000000.006218.0092 %0.006262.7314 %
Difference+23+32.6364+15.6038 %+116072+10107200+0.0232-14.3525 %+32.6596+8.5094 %

Known prime factors (1 factor, 63.5 bits, 0.00696910% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
910453126030720090112725672063.4506921319392111
3 × 382693 × 6028609
2008-01-2938269360286092.92500.02430.0274

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.164%
2002-02-24ANONYMOUSv4_computers4096409600--0.00115.087%
2002-04-28ANONYMOUSv4_computers8192819200--0.00217.884%
2002-05-18ANONYMOUSv4_computers163841638400--0.00420.645%
2002-07-20ANONYMOUSv4_computers32768327680012--0.00723.361%
2002-12-16ANONYMOUSv4_computers65536655360012--0.01526.025%
2003-08-08ANONYMOUSv4_computers1310721310720012--0.02928.631%
2016-03-17alpertronManual testing20000050000006---26.215%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-12-14ANONYMOUSv4_computers212560.011
2001-10-06ANONYMOUSv4_computers212570.021
2003-03-16ANONYMOUSv4_computers212580.042


ECM factoring results:
Total ECM effort:14.075 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
5000050000002797.842
25000025000000446.188


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-22ANONYMOUSv4_computers4C4B7F17467E82__0.022


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
12603072009011272567
5504675A84513085
2017-10-14Oliver KruseThreadripper-PC
12603072009011272567
5504675A84513085
2017-12-21ATHec2-1xh
12603072009011272567
5504675A84513085
2020-04-23Oliver KruseAddPrpType5
12603072009011272567
8600981F6378A29F


CERT results:
No CERT results for M910453


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (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)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
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270
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Last modified: 2024-03-13T02:15:48+00:00