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 …
Minimum size of a sequence summing to $2013$ that guarantees …
Nov 25, 2025 · Minimum size of a sequence summing to $2013$ that guarantees a consecutive subset sum of $31$ (still wanted rigorous proof) Ask Question Asked 11 days ago Modified 9 …
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)$.
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 …
Prove the product of 3 consecutive positive integers is always ...
Mar 6, 2023 · There is a problem asking me to prove the product of 3 consecutive integers is always divisible by 6 by using induction and not using the fact that one of the 3 numbers must …
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 …
How to prove that the difference between two consecutive …
Feb 5, 2020 · There's a very simple proof. Consecutive numbers have different parities, and squaring preserves parity. The difference of numbers with different parities is odd.
Sum of consecutive numbers - Mathematics Stack Exchange
Jan 12, 2015 · Sum of consecutive numbers Ask Question Asked 10 years, 10 months ago Modified 2 years, 8 months ago
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?
Why are the differences between consecutive squares equal to the ...
Then you get 9 which is the next cosecutive square, (3^2). That is the concept of the equation above, technically i didn`t explain that specific aspect of the difference of consecutive squares, …