Joseph Louis Lagrange (1736-1813) conjectured that every odd natural number greater than 5 can be written as a sum a plus 2 b , where a and b are both primes. (a) Verify this for the odd natural number 11. (b) Verify that the odd natural number 17 can be written in this form in four different ways.

Question

Mathematics

Marley Glenn

4 June, 09:47

Joseph Louis Lagrange (1736-1813) conjectured that every odd natural number greater than 5 can be written as a sum a plus 2 b , where a and b are both primes. (a) Verify this for the odd natural number 11. (b) Verify that the odd natural number 17 can be written in this form in four different ways.

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Answers (1)

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Kevin Gilmore · Answer 1

Step-by-step explanation:

(a) 11 can be written as (5+2*3), being 5 and 3 prime numbers

(b) 17 can be written as:

3 + 2*7 = 17

7 * 2*5 = 17

11 + 2*3 = 17

13 + 2*2 = 17

CHECK!