The values of N such that the N-th prime number is a Mersenne prime exponent. Probably the most compressed representation of thousands of years of computation of Mersenne primes.
Update (2011): The first differences A135701 are slightly more compressed: 1 1 1 2 1 1 3 7 6 4 3 67 13 96 121 11 116 128 19 594 30 131 897 181 156 2033 3760 2105 1842 6961 41453 7556 28716 9974 108217 3031 256669 402707 452111 179537? 113178? 258898? 126198? 263183? 313608? 26616?
19 594 30 are the 4253 4423 9689 9941 gaps.
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