Find the smallest prime which can be represented as sum of a prime and its reversal.
Clearly, if one wants to solve it
at first glance, - one would begin testing numbers of a
2?1 structure by choosing a prime one and then trying
2?1*1?2 - if it's prime - stop. Solved.
No - continue with
2?7.
Ok: 201 not a prime; 211+112=323 not a prime; 221+122=343 not a prime; 231 not a prime; 241+142= a prime number, smallest, ANSWER.
Conclusion - it always pays to try the "guessing process" at least for a while.