This nice story started with
Patrick De Geest in 1999. He found that the square of
the prime 295742437 is 87463589042698969 that has a
palindromic binary representation:
100110110101110111010101110111011101010111011101011011001
(See OEIS
A003166)
Twenty years later,
Dec 10, 2019, Michael
Coriand, found, that the square of the prime
1229661818323605647753 is
512068187442916142366763805165638713949009 ->
10001010110111001000110101100000000111110000111010000011010111010011111111100101110101100000101110_
0001111100000000110101100010011101101010001
(Palindrome).
(See
https://oeis.org/A003166/b003166.txt)
I can not tell if Coriand was
aware that
1229661818323605647753 was the largest prime found at
the moment of his publication. I tested the primality of
the published integers in b003166,txt table, in reverse
order and stopped in
1229661818323605647753,
bingo is prime!
Q1. What other primes of this
type are on the table
https://oeis.org/A003166/b003166.txt
Q2. Find the next larger prime
of this type