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  "body": "\n## Definition\n\nFor a natural number $n$, the $n$-th Mersenne number is $M_n = 2^n - 1$.\n\n## Remarks\n\nThe first values are $M_1 = 1$, $M_2 = 3$, $M_3 = 7$, $M_4 = 15$ and $M_5 = 31$.\nIn binary, $M_n$ is written with $n$ digits $1$.\nSome texts call $M_n$ a Mersenne number only when $n$ is prime.\nA Mersenne number that is prime is a [[Mersenne prime|06GPJF9V7M]].\n\n## Explanations\n\n### L1 human\n\nA Mersenne number is one less than a power of $2$.\nFor example, $2^{10} - 1 = 1023$, which is $1111111111$ in binary.\n",
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