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A Close Match
Can you massage the parameters of these curves to make them match as closely as possible?
Age 16 to 18 Short
Challenge Level
Show that if three prime numbers, all greater than 3, form an arithmetic progression then the common difference of the progression is divisible by 6.
Find some examples of three primes which include the number 3 and form an AP, and show that in every such case the common difference is not divisible by 6.
Did you know ... ?
Explorations of arithmetic progressions of prime numbers are an ongoing subject of mathematics research.
Explorations of arithmetic progressions of prime numbers are an ongoing subject of mathematics research.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.