Problems & Puzzles: Puzzles

Puzzle 791. Inserting consecutive primes

This puzzle is a variation of another posted by Claudio Meller as the entry 1398 in his always interesting site.

Here we ask for these numbers N that result prime numbers after inserting the first consecutive primes, one at a a time, from 2 to P, except the prime "3" in successive positions in N, from left to right.

Example: N=333 is a solution because 2333, 3533, 3373 and 33311 are prime numbers.

As a matter of fact, below 2^32 I have found 21 of these asked numbers N, being the smallest "27" and largest "2653294371".

Q. Find more solutions.

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