This sequence is in fact the reversed Sierpinski problem with k=10, according to the thread

http://mersenneforum.org/showthread.php?t=10354&page=8, this sequence can be extended to a(184), and a(185) is > 10^6 due to the Sierpinski base 185 problem, and the related sequence A088783 can be added another term 177, since a prime 10*173^264234 is known.

Also the sequence A119624 (the reversed Sierpinski problem with k=2) can be extended to a(364), and A119591 (the reversed Riesel problem with k=2) can be extended to a(580).