Problems & Puzzles: Puzzles

 

 

Problems & Puzzles: Puzzles

Puzzle 1267 How many emirps are there?


On March 19, 2029, Simon Cavegn wrote:

How many emirps are there?

State whether you are excluding or including palindromes.


Q1. Find the number of emirps up to the highest possible n.

  Q2-Find a formula that matches the data. Compare it to n/(ln(n)*ln(n)).

Can a part of the formula be attributed to:

- excluding or including palindromes
- for p > 5 the first digit cannot be 5
- other reverse digit correlations


Q3. Can you create a possibly provable conjecture, or maybe even a proof, that there are infinitely many emirps?


 






 

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