Can two different sets of prime numbers sum up to the same value

Asked Sep 23 '14 at 00:29

Active Sep 23 '14 at 00:31

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Assume

A is a set of prime numbers with no duplicate elements
B is a set of prime numbers with no duplicate elements
A is not equal to B
Cardinality of A is equal to cardinality of B

Is it possible for sum of the elements of A to be equal to sum of the elements of B?

asked Sep 23 '14 at 00:29

Logan

15

2

${5,13},{7,11}$? – James Sep 23 '14 at 00:30
Damn:(. Thanks! – Logan Sep 23 '14 at 00:31

1 Answers1

2

Try for example $3+13 = 5+11$. There are many other solutions.

answered Sep 23 '14 at 00:31

Yuval Filmus

57,157