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24 October, 09:21

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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  1. 24 October, 09:40
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    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!
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