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 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology:

"This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative."

Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

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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 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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