Primes p that are not palindromic in any base b with 1 < b < p-1.
2, 3, 11, 19, 47, 53, 79, 103, 137, 139, 149, 163, 167, 179, 223, 263, 269, 283, 293, 311, 317, 347, 359, 367, 389, 439, 491, 563, 569, 593, 607, 659, 739, 827, 853, 877, 977, 983, 997, 1019, 1049, 1061, 1187, 1213, 1237, 1367, 1433, 1439, 1447, 1459, 1511, 1553
1
All numbers n are palindromic in bases 1 and n-1.
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
K. S. Brown, On General Palindromic Numbers
(Mma) palindrome[b_Integer, n_Integer, del_] := Module[{c = IntegerDigits[n, b], d}, d = If[del, Join[c, Reverse[Most[c]]], Join[c, Reverse[c]]]; FromDigits[d, b]]; t = {}; Do[q = Select[Range[2, Sqrt[n]], (s = IntegerDigits[n, #]; s == Reverse[s]) &]; If[Length[q] == 0, AppendTo[t, n]], {n, Prime[Range[300]]}]
nonn,base
T. D. Noe, Nov 09 2015