A061155 n.2^m+1 is prime for exactly one exponent m in the range 0<=m<=n.

31, 91, 353, 493, 512, 587, 692, 752, 829, 919, 1021, 1024, 1174, 1384, 1643, 1658, 1669, 1735, 1838, 1913, 1921, 2042, 2048, 2057, 2311, 2423, 2768, 3167