A224398 Prime numbers with m^2 digits that, if arranged in an m X m matrix, form m-digit reversible primes in each row, column, and in the two main diagonals.

2, 3, 5, 7, 1117, 1171, 179991179, 191797919, 337353739, 733353337, 1193100992213191, 1193120192093911, 1193900112293191, 1193902910213911, 1733922710213719, 1933913317893391, 1933983337193191, 3191100999231193, 3191949710331913, 3371722912019173

Offset: 1

Author

Giovanni Resta, Apr 05 2013

Keywords

• nonn
• base

Comments

Subsequence of A224164, in which only the main diagonal is requested to be a reversible prime. Suggested by Charles R Greathouse IV.

The smallest terms with 4, 9, 16, 25 and 36 digits are 1117, 179991179, 1193100992213191, 1119710007705077000179111 and 111119100049100049928141172283919913.

Examples

			When the digits of the prime p = 3391382115599173 are arranged in a 4 X 4 matrix:
3391
3821
1559
9173
the rows, the columns and the two main diagonals are 4-digit reversible primes, so p is in the sequence.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A224164.