33579...65577 (370-digits)

This number is a prime.

                                                       3357919051 2934466848
1733847552 5336738410 8606836719 9291715601 4373893439 4599812053 4946190384
0857391256 1145524367 2703070524 2812636090 2893860902 5326112831 2388690032
5250067039 0056654583 2881453504 4207024541 6195251580 1782756924 4407235104
8555361769 7701860843 3022924873 7741502940 0870876382 9685719508 7713293154
4109243793 3666595206 7609434324 2287408182 4908854362 4573249026 6782865577

As of October 2003, the largest known CPAP-6 (6 Consecutive Primes in Arithmetic Progression) starts with this prime:
44770344615 * 859# + 1204600427 {+ 0, 30, 60, 90, 120, 150}. [Andersen , Fougeron]