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, …
Generate arbitrarily long sequences of consecutive numbers …
Aug 25, 2022 · Question Can those hidden consecutive points have a prime coordinate? If true, then this idea isn't valid. If false (hurray!), is it possible to simplify the Theorem to focus on …
Find consecutive composite numbers - Mathematics Stack Exchange
Jun 22, 2021 · Find consecutive composite numbers [duplicate] Ask Question Asked 4 years, 4 months ago Modified 4 years, 4 months ago
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 …
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 …
$100$ consecutive natural numbers with no primes
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 …
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?
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
Exactly $1000$ perfect squares between two consecutive cubes
Oct 19, 2025 · Exactly $1000$ perfect squares between two consecutive cubes Ask Question Asked 19 days ago Modified 14 days ago
Expected number of consecutive heads in 10 coin tosses
May 22, 2021 · I am having trouble formulating the exact recursive relation for this problem. The problem statement is A coin is tossed 10 times and the output written as a string. What is the …