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I have a problem. Start with a number, any positive whole number. If it's odd, multiply it by 3 an add 1. If it's even, then divide it by 2. Repeat. My teacher wants us to prove that eventually you reach 1.
My mum asked me this and I can’t for the life of me solve it. Is every even number above 2 the sum of exactly 2 primes?
@CalbernandHowbe
4=2+2
6 = 3+3
8= 3+5
10=5+5
12=7+5
14=7+7
16=11+5
And so on.
Every integer greater than 2 can be written as the sum of three primes (Look #16 and #19). Every positive even integer can be written as the sum of two primes. This is in fact equivalent to his second, marginal conjecture. ... every even integer is a sum of two primes, I regard as a completely certain theorem, although I cannot prove it.
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I was translating i didn't know before that even and odd numbers in english

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