A palindromic number, below 2000, thrice a square, is the sum of nine consecutive primes.
Enough said.

What number(s) complies(comply)?

Looking through a list of tripled squares yields only one candidate palindrome:
3*11^2 = 363
It turns out this number is the sum of 9 consecutive primes:
23+29+31+37+41+43+47+53+59=363

The next candidate is 3*88^2=23232
But I don't care to check for the sum of primes around 2581.  It does seem unlikely.

Posted by Jer on 2015-01-19 10:28:32