OFFSET
1,1
COMMENTS
The existence of terms >10^12 with 4 or more distinct digits has not been checked, so missing terms are possible but with a vanishing probability based on combinatorial arguments.
Each prime in this sequence is simultaneously a palindrome in base 10 and has a unique decimal digit pattern A358497(a(n)) in the sense that no other prime has the same pattern.
All terms except 11 have an odd number of digits (cf. A002385).
Number of terms < 100^k: 1, 1, 1, 1, 1, 4, 16, 19, 92, ... .
The smallest term with 3 distinct digits is 11155511521212511555111.
LINKS
Dmytro Inosov, Table of n, a(n) for n = 1..1093
EXAMPLE
11141414111 is a term since it's a palindromic prime and no other prime has the same pattern "AAABABABAAA" of repeating digits.
Counterexample: the palindromic prime 131 is not a term since another prime 151 has the same pattern "ABA" of repeating digits.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Dmytro Inosov, Sep 11 2024
STATUS
approved