Coll.20th-017. The square of Prime contains Prevprime

Problems & Puzzles: Collection 20th

Coll.20th-017. The square of Prime contains Prevprime

On May 22, Paolo P. Lava wrote:

The square of Prime contains Prevprime

Examples:

1) 3701^2 = 13697401 and the previous prime is 3697

2) 65442077^2 = 4282665442073929 and 65442073 is the previous prime.

Q. Find more examples.

Note: The opposite, "Primes whose square has the next prime as substring", is already known (see A052073).

On March 23, 2025, Giorgos Kalogeropoulos wrote:

"Recently, I published in OEIS the following sequence A381969

In this sequence you will find the answer for your coll.20th-017 puzzle

Also, you will find a 40-digit TWIN-Prime that has the same property which is very rare in my opinion"

Records | Conjectures | Problems | Puzzles