Problem of the Week

A new problem every Monday that challenges participants of all ages to think creatively and apply their math skills. Perfect for a weekly mental challenge.

How many four-digit prime numbers exist of the form ab(ab+1)?  
Please note that a is a digit (1-9), b is a digit (0-9), and ab + 1 is a two-digit number that may include zero.  (a cannot equal zero to ensure a four-digit number). For example, if a = 1 and b = 6 then ab(ab + 1) = 1617.


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