6217
This number is a prime.
In the film "Bianca" by Nanni Moretti released in 1983, the director of the specialized school asks a student at the piano "what is the square root of 38651089?". After 3 seconds, the student answers, "6217". [Bastin]
Prime number from the Lazy Caterer's sequence ((111^2+111+2)/2) that is both Gaussian (76^2+21^2) and Loeschian (48^2+48*43+43^2). [Barnes]
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