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

What are causes and effects of unemployment?
What are the benefits of living in Palm Springs?
Cabbages have 18 chromosomes. How many chromosomes do each of the daughter cells produced by mitosis have?
Public Domain What was one negative effect of posters like this one? Americans began to find Japanese Americans funny rather than threatening. Japanese American
Help me on this problem: Karen collects 6/7 qt rainwater. She uses 1/2 of the water to clean her bicycle and uses the remaining water equally for 3 houseplants
how did the demand for indigo affect south Carolina plantation owners
what is the easiest way to go this math problem 8tr+10t +14t + 13
Which country is farther north, Zaire or Paraguay?
equation and check the solution to this problem, I'm having problem figuring this out. x+3=7
Why was Stalin able to establish such a strong Communist presence in Eastern Europe following World War II? The Soviet Union helped Eastern European countries t