4 ms·
Doesn't take very much searching to find this pretty nifty palindrome prime: 3,212,123 (the 333rd palindrome prime) Interestingly, there are no four digit pal
by xigency 2y ago
Doesn't take very much searching to find this pretty nifty palindrome prime:
3,212,123 (the 333rd palindrome prime)
Interestingly, there are no four digit palindrome primes because they would be divisible by 11. This is obvious in retrospect but I found this fact by giving NotebookLM a big list of palindrome primes (just to see what it could possibly say about it over a podcast).
For the curious, here's a small set of the palindrome primes:
http://brainplex.net/pprimes.txt http://brainplex.net/pprimes.txt
The format is x. y. z. n signifying the x-th prime#, y-th palindrome#, z-th palindrome-prime#, and the number (n). [Starting from 2]
- DerekL 2y ago> Interestingly, there are no four digit palindrome primes because they would be divisible by 11. In fact, this holds for any even number of digits.
- schneehertz 2y ago11 is an even-digit palindrome and is a prime number
- DerekL 2y agoI meant that every palindrome number with an even number of digits is divisible by 11, not that they're not prime.
- oneshtein 2y ago11111111111111111111111 is prime (1©23)