Transum Software

Prime Pairs Game

A game for two players who take turns to select two numbers that add up to a prime number.

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Enter the names of the players.

Player 1:

Player 2:

Start

Each adjacent pair of numbers on the line must add up to a prime number.

Play Again

THE LINE

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Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales:

"A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access the whole month so I can use favourites with classes I see at different times of the week. Thanks."

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If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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Teachers' Notes

There are 385072 ways of arranging the numbers 1 - 18 in a circle so that the sum of each pair of adjacent numbers is prime. Here is one of the possible ways

1,6,5,2,3,10,9,8,11,12,17,14,15,16,7,4,13,18.

See Math Forum for a discussion of Prime-Sum Circles.

See Bernardo Recamán’s Primes in a Circle Puzzle.

See Scallywags and Scoundrels for a puzzle requiring the numbers 1 - 12 to be arranged in a Prime-Sum Circle.

See Square Pairs Game for a similar game involving square numbers.

See Square Pairs for the related lesson Starter.

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