(a) An unanswered question is whether there are infinitely many primes that are 1 more than a power of 2, such as 5 = 22 + 1. Find two more of these primes.
(b) A more general conjecture is that there exist infinitely many primes of the form n2 + 1; for example, 257 = 162 + 1. Exhibit five more primes of this type.
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