A051954 a(n) = smallest palindrome > a(n-1) such that a(1)*a(2)*...*a(n) - 1 is a prime.

3, 4, 5, 6, 8, 9, 11, 22, 88, 232, 272, 303, 333, 383, 434, 454, 555, 787, 797, 848, 999, 1331, 3663, 6666, 10201, 14041, 15951, 17271, 21912, 22122, 24442, 26662, 33433, 35053, 40504, 40804, 44344, 44644, 44844, 45754, 55955, 67976, 72227, 72627