Consecutive semiprimes
Number Theory
Level
1
A semiprime is a number that is the product of exactly two (not necessarily distinct) primes. Examples of semiprimes are \(6=2 \times 3,\) \(35=5 \times 7,\) and \(121=11 \times 11\).
It's easy to find pairs \(\{21,22\}\) and triplets \(\{85,86,87\}\) of consecutive semiprimes on this list of semiprimes up to 187.
Is there a run of consecutive semiprimes longer than three numbers?
by
Jeremy Galvagni