leontheanteater leontheanteater
  • 10-08-2020
  • Mathematics
contestada

let p and p+2 be prime numbers (i.e they are twin primes) with p>3. Show that 6|(p+1) ​

Respuesta :

Аноним Аноним
  • 10-08-2020

from the well known theorem that, primes are multiple of 6 ±1 ( eg 5,7,11,13,17,19...)

and one of them has [tex]-1[/tex] and other has $+1$ from the multiple of 6

let , $p=6n-1$, so $p+2=6n+1$

$\implies p+1=6n$

$\therefore 6|(p+1)$

QED

Answer Link

Otras preguntas

Which is equivalent
in a ballad the refrain creates emphasis and helps people remember the lines of the ballad
Which of the following numbers has the greatest value?A) .1B) .47C) .049D) .192E) .0864​
The Circuit Court is also known as the _______. Supreme Court Circular Court Congress Court of Appeals
How does a nuclear reaction differ from a chemical reaction?
the absolute tempeature of a gas is increased four times while maintaining a constant volume. what happens to the pressure of the gas​
BRAINLIEST solve the system by substitution x-y=5 2x+y=13
Without using technology, describe the end behavior of f(x) = −3x4 + 7x2 − 12x + 13.
What is the oldest capital city in the united states?
NEED HELP ASAP (WILL MARK BRAINLYEST)