Tuesday, April 12, 2011

Conjecture about semiprimes

A semiprime is http://en.wikipedia.org/wiki/Semiprime

A semiprime is a natural number that is the product of two (not necessarily distinct) prime numbers.

Semiprimes (or biprimes): products of two primes http://oeis.org/A001358

Numbers which are not the sum of two semiprimes http://oeis.org/A072966

An interesting question: Is this sequence finite?

That is to say, can every natural number n > 33 be the sum of two semiprimes?

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