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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The only square congruent prime of order 5 of form aaaaaabbbaabbbaabbbaaaaaa is the only known “perimeter prime”, i.e., a prime formed if we put all its digits in a 5 x 5 array then the digits that are in the perimeter of the square are equal to a and all the other are equal to b. Note that there is no other such prime of order 7, 9 or 11. Is there any such prime of a larger order? [Loungrides]
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