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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 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?"

Comment recorded on the 28 September 'Starter of the Day' page by Malcolm P, Dorset:

"A set of real life savers!!
Keep it up and thank you!"

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© Transum Mathematics :: This activity can be found online at:
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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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