Definition:Mersenne Number/Sequence

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Sequence of Mersenne Numbers

The sequence of Mersenne numbers begins:

$3, 7, 31, 127, 2047, 8191, 131 \, 071, 524 \, 287, 8 \, 388 \, 607, 536 \, 870 \, 911, 2 \, 147 \, 483 \, 647, \ldots$

This sequence is A001348 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).