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

1,1

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.

Links

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

Example

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.

Crossrefs

Cf. A224164.

Sequence in context: A050665 A090721 A224164 * A066306 A212667 A252357

Adjacent sequences: A224395 A224396 A224397 * A224399 A224400 A224401

Keyword

nonn,base

Author

Giovanni Resta, Apr 05 2013

Status

approved