Generate arbitrarily long sequences of consecutive numbers …
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 …
probability - What is the expected number of times a dice has to …
Basically, on average, how many times one should roll to expect two consecutive sixes?
I'm trying to find the longest consecutive set of composite numbers
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 …
Sum of consecutive odd numbers - Mathematics Stack Exchange
May 16, 2016 · The sum of $a$ consecutive odd numbers is a difference of squares $ (n + a)^2 - n^2 = a (a + 2n)$.
Sum of consecutive numbers - Mathematics Stack Exchange
Jan 12, 2015 · Sum of consecutive numbers Ask Question Asked 10 years, 9 months ago Modified 2 years, 7 months ago
Proof: Sequence of n consecutive natural numbers containing no …
Proof: Sequence of n consecutive natural numbers containing no primes (Velleman P158 Thm 3.7.3) Ask Question Asked 12 years, 1 month ago Modified 11 years, 9 months ago
Confirming a easy proof: the product of two consecutive numbers …
Jan 12, 2021 · @Baropryl In both of your examples, you construct your consecutive numbers such that the smaller of the two is the even number. You must explicitly consider the case that …
The product of $n$ consecutive integers is divisible by $n$ factorial
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 …
Why are two and three the only consecutive prime numbers?
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 …
Consecutive composite numbers - Mathematics Stack Exchange
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, …