Paul Leyland says:

The algorithm: "n:=1; repeat {n:=n+2; output n}" is, I hope you agree, a
simple algorithm and generates an infinite number of primes (indeed, all
of them bar 2)

And why do you want to exclude poor 2?

n:=1; repeat {n:=n+1; output n}

            Bernardo Boncompagni

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