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Primes and squares in a grid

Puzzling Asked on March 15, 2021

i) Place thirteen different three-digit prime numbers in the empty cells of this grid.

ii) Now place thirteen different three-digit square numbers in the empty cells of this grid.

How many solutions are there of each instance?

Source: https://www.amazon.com/-/es/Bernardo-Recam%C3%A1n/dp/048684241X

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Numbers are to be read as in a crossword: across or down.

2 Answers

The number of solutions for squares are 77520 and the number of solutions for primes are

590080113475142976

28

Answered by Vassilis Parassidis on March 15, 2021

I think there is a unique answer for the squares:

If there is a unique answer for the primes too, then I will say bravo!

Answered by Laska on March 15, 2021

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