Problems & Puzzles: Puzzles

Puzzle 1002. Consecutive primes that are also happy numbers

Carlos Rivera computed the smallest start of a run of k consecutive primes that are also happy integers.

 

Here are his results (See A334982)

 

7, 19, 3067, 3313, 3313, 11550481, 11550481, 475389133, 1128863117, 1175267983

 

Example:

For k=2, thee smallest start of o run of 2 consecutive primes and happy integers is 19, because 19 & 23 are consecutive primes and happy integers.

 

Q. Can you extend this sequence?

 


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