Find three different triplets of consecutive integers such that the first term of each triplet is a numerical palindrome, the second a square, and the third a prime.
3,4,5
99,100,101
575,576,577
the 1st and the 3rd were sent by smartphone from a crowded jazz club, the 2nd crossed my mind while driving home- now 1 am trying to
find a 4-digit abba s.t. abba +1 is a square (if it exists)