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  • 03-06-2018
  • Mathematics
contestada

What is the prime number that's one-half the product of the only two consecutive prime numbers?

Respuesta :

gmany
gmany gmany
  • 03-06-2018
a,b - the consecutive prime numbers
c - the prime number

[tex]\dfrac{ab}{2}=c[/tex]

therefore a or b must be a even number. Conclusion a = 2, therefore b = 3.

Substitute:

[tex]\dfrac{2\cdot3}{2}=3[/tex]

Answer: The prime number that's one-half the product of the only two consecutive prime numbers is equal 3.
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