Aug 25, 2022 · The goal of this question is to find if other methods exist to generate arbitrarily long sequences of consecutive numbers without primes. I started searching for other formulas …

Basically, on average, how many times one should roll to expect two consecutive sixes?

Jan 12, 2015 · Sum of consecutive numbers Ask Question Asked 10 years, 9 months ago Modified 2 years, 7 months ago

Jun 6, 2017 · In terms of this structure, the composite topologies representing the composite region in the k-tuple ensure that the frontier prime elements are consecutive in the sequence …

Proof: Sequence of n consecutive natural numbers containing no primes (Velleman P158 Thm 3.7.3) Ask Question Asked 12 years ago Modified 11 years, 8 months ago

Aug 6, 2018 · Additionally, Is it possible to have $1000$ consecutive natural numbers with exactly $12$ primes between them? I have an intuition that we have to form a recurrsive relation and …

When I took basic number-theory course there was this exercise to find 2000 consecutive numbers. And of course it's well known that the trick to take numbers of the form $$ (n+1)!+m, …

How can we prove that the product of $n$ consecutive integers is divisible by $n$ factorial? Note: In this subsequent question and the comments here the OP has clarified that he seeks a proof …

Out of every two consecutive numbers one will always be even. There is only one even prime number. Whether there are an infinite number of pairs of primes which differ by two (the twin …

Feb 7, 2013 · Can you give me more realistic example . Take a number say 15000 . What steps should I follow to find the number of ways by which 1500 can be expressed as sum of …