How to find 5 consecutive numbers that are not primes.
Please, help.

Question

How to find 5 consecutive numbers that are not primes.
Please, help.

alexandervonhumboldt2 · Answer

wait

anonymous · Answer

$$5! + 1$$$$5! + 2$$$$\cdots $$$$5! + 5$$

dayakar · Answer

numbers between 23 and 29

anonymous · Answer

You can do this in general for any $n$. If you're given some $n$, you can try working with the following numbers:$$(n+1)!+2, \  \  (n+1)! + 3, \cdots,\ \  (n+1)! + n+1$$

ikram002p · Answer

Use the factorial trick as what bea did

anonymous · Answer

Thus there is always a sequence of $n$ consecutive nonprime numbers.

loser66 · Answer

@dayakar  It is easy to check it out from prime list. but it is not the way to solve
@Beauregard  if n =1, then (1+1)! = 2! = 2 +2 =4, and 2 +3 =5 is a prime.

anonymous · Answer

No no, $n$ is the sequence length. Like in your question $n = 5$.

loser66 · Answer

got you. Thank you.

ikram002p · Answer

N can be anything larger or equal 5.

anonymous · Answer

Oh, you're right. lol

ikram002p · Answer

=)

anonymous · Answer

Also the answer I gave initially does not follow the general rule but it is still correct, thankfully.

anonymous · Answer

The $n! + 1$ term was a little dangerous as it could have been prime. It is prime for $n = 1, 2, 3$ so luck saved me.