Generate arbitrarily long sequences of consecutive numbers without ...
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 and …
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, \\quad 2 \\leq ...
probability - What is the expected number of times a dice has to be ...
Basically, on average, how many times one should roll to expect two consecutive sixes?
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 that "does …
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, 2 months ago Modified 11 years, 10 months ago
statistics - Probability of at least X consecutive failures over N ...
Apr 30, 2017 · To summarize, it is the probability of seeing at least (X) consecutive losing trades within a 50-trade period, given a list of defined winning percentages. I want the formula/model to solve this so …
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 of prime …
$100$ 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 solve it.
Why calculating XOR of consecutive values can be simplified?
XORing consecutive integers has an interesting property. Does anyone know why? (2 answers) Closed 9 years ago. I was trying to calculate integer xor of 0..n. I named the function xored (n). Note that in …
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)$.