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  1. 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 …

  2. 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 …

  3. probability - What is the expected number of times a dice has to …

    The framework proposed in the solution can be generalized to obtain a formula of expected time as of t = 0 t = 0 for n n consecutive throws of any number in the dice as follows.

  4. Sum of Consecutive Integers - Mathematics Stack Exchange

    Feb 7, 2013 · Can you give me more realistic example . Take a number say 15000 . What steps should I follow to find the number of ways by which 1500 can be expressed as sum of …

  5. Sum of consecutive numbers - Mathematics Stack Exchange

    Jan 12, 2015 · Conversely, each representation of N N as a sum of consecutive natural numbers arises in this form, since it is centred either about an integer or about a half integer; in the first …

  6. 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 7 and 11 11.

  7. Find all sets of consecutive natural numbers whose sum is 54.

    May 7, 2023 · It appears that you have misread the question slightly, as it requests for consecutive natural numbers, and not even numbers. Below, I'll describe the amount of …

  8. There are $10$ stations on circular track. A train has to stop at $3 ...

    Dec 17, 2024 · 3 There are $10$ stations on circular track. A train has to stop at $3$ stations such that no two stations are consecutive. In how many ways this can be done?

  9. Confirming a easy proof: the product of two consecutive numbers …

    Jan 12, 2021 · Consider all the products of two consecutive natural numbers, totally ordered by the minimum factor. The difference between two consecutive such products is even:

  10. Finite number of consecutive prime numbers - Mathematics Stack …

    Nov 17, 2022 · Suppose we have n n consecutive prime numbers pk p k with n ∈N n ∈ N such that pk −pk−1 = m p k p k 1 = m and k = 2..n k = 2.. n. Is it possible to find m m and n n in …