Caution: numbers that feel prime may be divisible by 3. For example, 51 and 57.
Conversely, numbers that feel divisible by 3 may be prime. For example, 61, 89 and 97.
Nominations for least prime-feeling numbers that actually are prime: 89 and 101.
Nominations for best prime number: 2 and 101.
Both have digits that sum to 2.
Yes, I was trying to count sheep last night.