13579...59771 (328-digits)

This number is a prime.

                        13579111 3151719313 3353739515 3555759717 3757779919
3959799111 1131151171 1913113313 5137139151 1531551571 5917117317 5177179191
1931951971 9931131331 5317319331 3333353373 3935135335 5357359371 3733753773
7939139339 5397399511 5135155175 1953153353 5537539551 5535555575 5957157357
5577579591 5935955975 9971171371 5717719731 7337357377 3975175375 5757759771

The smallest odd-digit prime greater than a googol formed by concatenating in ascending order the first n odd-digit numbers (case n=121). [Loungrides]