MHB Prove 9999999+1999000 is Composite Number

  • Thread starter Thread starter anemone
  • Start date Start date
  • Tags Tags
    Composite
anemone
Gold Member
MHB
POTW Director
Messages
3,851
Reaction score
115
Prove that the number $9999999+1999000$ is composite.
 
Mathematics news on Phys.org
Let x = 1000 to keep it simple
So we get
$9999999+1999000 = 10^7-1 + 1999 * 1000$
$= 10 * 10^ 6 - 1+ (2000-1)* 1000$
$= 10 x^2 - 1 + (2x-1) x$ putting 1000 = x
$=12x^2 - x - 1$
$= (4x+1)(3x-1)$
$= 4001 * 2999$ putting back x = 1000

Hence it is composite
 
Last edited:
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...

Similar threads

Back
Top