There are only 9 composite numbers in the entire sequence, namely: 4, 6, 8, 9, 10, 15, 25, 26 and 65.
If we are prepared to accept probable primes, then the sequence continues as follows: 9551, 9719, 11681, 12037, 14629, 14951, 19079, 20327, 22549, 30517, 51511, 52813, 60923, 73943, 79687, 91249, 115321, 117017, 169493, 172411, 174413, 237053, 285631, 318751, 327433. - David Broadhurst, May 23 2007