is 2 9448723 - 1
has 2844350 decimal digits
takes 2.612 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
Actual26912.635265.2174%200000053210619012.376210.0531%25.011568.7141%
Target2686.308264.7059%6000014000000.05332.4618%6.361665.5748%
Difference+1+6.3270+0.5115%+1940000+530706190+12.3229+7.5912%+18.6499+3.1393%

Known prime factors (7 factors, 289.8 bits, 0.00306722% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9448723226769353927.75712
22 × 3
-441.897e-121.603e-63.262e-6
944872331180785911031.538165
3 × 5 × 11
2008-09-085113.136e-112.135e-64.078e-6
944872346865666091032.126248
23 × 31
2008-09-088316.381e-113.708e-66.525e-6
944872378613375371032.872416
25 × 13
2008-09-0832326.601e-111.282e-52.610e-5
944872323193402399191341.077122733
32 × 13 × 1049
2008-09-301310494.854e-82.783e-54.261e-5
9448723942262630927180071756.3874986190361
4986190361
2015-02-12149861903610.0020108.87203.34
94487233070124503434074604412168.05716246240383140
22 × 5 × 812312019157
2022-12-3158123120191579.047217,73733,127

120 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-11-23ThaZ-170200000053210619050165.37012.385.22324.7510.053%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08Will EdgingtonManual testing??31.538101.08134e-125.6822.35291e-12
2008-09-08Will EdgingtonManual testing??32.126103.25057e-125.6827.07299e-12
2008-09-08Will EdgingtonManual testing??32.872105.45258e-125.6821.18644e-11
2008-09-30markrManual testing??41.077131.75355e-85.6823.81558e-8
2015-03-31TJAOIManual testing256257*56.387170.0015.6800.002
2022-04-09LordJuliusManual testing2126459.883190.0115.6660.024
2022-04-09LordJuliusManual testing2126427.75791.89726e-125.6824.12829e-12
2022-04-09LordJuliusManual testing2126431.538103.13589e-115.6826.82344e-11
2022-04-09LordJuliusManual testing2126432.126106.38056e-115.6821.38836e-10
2022-04-09LordJuliusManual testing2126459.295180.0125.6660.026
2022-04-09LordJuliusManual testing2126432.872106.60076e-115.6821.43627e-10
2022-04-09LordJuliusManual testing2126463.664200.3665.3060.743
2022-04-09LordJuliusManual testing2126460.629190.0265.6500.057
2022-04-09LordJuliusManual testing2126441.077134.85397e-85.6821.05618e-7
2022-04-09LordJuliusManual testing2126456.387170.0025.6800.004
2022-04-09LordJuliusManual testing264265--0.395--
2022-04-09LordJuliusManual testing265266--0.791--
2019-06-18Seth_TrManual testing266267--1.582--
2019-06-20Seth_TrManual testing267268--3.163--
2022-12-31LordJuliusManual testing26826968.057212.7395.3065.565
2022-12-31LordJuliusManual testing268269
skipped known factors(?)
--6.327--


ECM factoring results:
No ECM results for M9448723


Lucas-Lehmer results:
No L-L results for M9448723


PRP results:
dateuseridcompidcofactorsres64PRP
2019-09-09mnd925836b
226769353
3118078591
4686566609
7861337537
2319340239919
94226263092718007
8E823A653BDAEC__no
2020-11-29Richard Thomasdjinn.pc
226769353
3118078591
4686566609
7861337537
2319340239919
94226263092718007
8E823A653BDAEC8Dno
2023-01-01LordJuliusi79700_Para
226769353
3118078591
4686566609
7861337537
2319340239919
94226263092718007
307012450343407460441
8E823A653BDAEC8Dno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 532106190 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
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TF factor-bounds graph:
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257
2
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Last modified: 2023-01-01T16:29:41+00:00