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anemone
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Find the largest even integer which cannot be written as the sum of two odd composite numbers.
I must be missing something. Say we have a, b, c, d are all odd primes. Then e = ab + cd. But there is no largest prime so how can e be bounded?anemone said:Find the largest even integer which cannot be written as the sum of two odd composite numbers.
anemone said:Find the largest even integer which cannot be written as the sum of two odd composite numbers.
The largest even integer that cannot be written as the sum of two odd composite numbers is 4.
Odd composite numbers are positive integers that are not prime and are not divisible by 2.
This is because the largest even integer is always divisible by 2, and the sum of two odd composite numbers will always be an odd number. Therefore, it is impossible for an even number to be the sum of two odd numbers.
No, there are no exceptions to this rule. The largest even integer cannot be written as the sum of two odd composite numbers.
This concept is relevant in number theory and algebra, as it helps in understanding the properties of even and odd numbers and their relationships. It also helps in identifying prime and composite numbers and their sums.