A030286 Palindromic primes whose digits do not appear in previous term and that are increasing.

2, 3, 5, 7, 11, 353, 727, 919, 30203, 71917, 3002003, 7114117, 9002009, 111181111, 300020003, 711161117, 900050009, 11112721111, 30000500003, 71112121117, 90005450009, 1111118111111, 3000002000003, 7111144411117, 9000005000009, 111111181111111, 300000020000003

Offset: 1

Author

Patrick De Geest

Keywords

• nonn
• base

Comments

From Michael S. Branicky, Feb 28 2025: (Start)

The sequence enforces a(n) > a(n-1); else, a(7) = 101 would be the first difference.

a(1386) has 1001 digits. (End)

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..1385
• Michael S. Branicky, Python program

Programs

Python

# see linked program

Extensions

a(25) and beyond from Michael S. Branicky, Feb 28 2025