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  1. 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 …

  2. 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)$.

  3. Probability that the stopping time for 3 consecutive sixes is odd

    Dec 20, 2025 · Probability that the stopping time for 3 consecutive sixes is odd Ask Question Asked 8 days ago Modified 2 days ago

  4. 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?

  5. 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 always be …

  6. Confirming a easy proof: the product of two consecutive numbers is ...

    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 smaller of …

  7. My formula for sum of consecutive squares series?

    Apr 29, 2016 · I stumbled upon a specific series, who's Sum of squares of consecutive integers equals the sum of squares of the continuation of that consecutive integers. For exmaple, this first number in …

  8. 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 …

  9. Sum of consecutive numbers - Mathematics Stack Exchange

    Jan 12, 2015 · Sum of consecutive numbers Ask Question Asked 10 years, 11 months ago Modified 2 years, 9 months ago

  10. Why are two and three the only consecutive prime numbers?

    Of course you mean " consecutive numbers that are prime", since consecutive prime numbers could be understood in the other way, like $7$ and $11$.