Prime numbers

  • Xavi's T-shirt
    problem

    Xavi's T-shirt

    Age
    7 to 16
    Challenge level
    filled star empty star empty star

    How much can you read into a T-shirt?

  • Dicey Array
    game
    Favourite

    Dicey array

    Age
    5 to 11
    Challenge level
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    Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?

  • Public Key Cryptography
    article

    Public key cryptography

    An introduction to coding and decoding messages and the maths behind how to secretly share information.
  • Prime counter
    problem

    Prime counter

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    A short challenge concerning prime numbers.
  • Sieve of Eratosthenes
    problem

    Sieve of Eratosthenes

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Follow this recipe for sieving numbers and see what interesting patterns emerge.

  • Number Families
    problem

    Number families

    Age
    11 to 14
    Challenge level
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    How many different number families can you find?
  • HCF Expression
    problem

    HCF expression

    Age
    11 to 14
    Challenge level
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    Find out which two distinct primes less than $7$ will give the largest highest common factor of these two expressions.

  • Three Primes
    problem

    Three primes

    Age
    14 to 16
    Challenge level
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    Weekly Problem 6 - 2010
    Can you find three primes such that their product is exactly five times their sum? Do you think you have found all possibilities?
  • How much can we spend?
    problem

    How much can we spend?

    Age
    11 to 14
    Challenge level
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    A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?