There are no two "last" composite numbers. Just as with prime numbers, and all numbers, they go on for ever and ever and ever and ever ... ... .
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No not always because composite numbers can be the product of 2 or more prime factors
Composite
Public key encryption is based on composite numbers. In fact it is based on composite numbers which are the product of two very large prime numbers.
That is how a composite number is defined! It cannot be prime if it is a product of two integers that are bigger than one.
a composite number seems a reasonable answer.