"Mersenne prime" meaning in English

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          "ref": "2004, Sheldon Axler, “3: Mathematicians Versus the Silicon Age: Who Wins?”, in David F. Hayes, Tatiana Shubin, editors, Mathematical Adventures for Students and Amateurs, American Mathematical Society, page 20:",
          "text": "In addition to being the largest known Mersenne prime, this number is also currently the largest known prime number of any type.",
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          "text": "2005, Jean-Claude Bajard, Laurent Imbert, Thomas Plantard, Modular Number Systems: Beyond the Mersenne Family, Helena Handschuh, M. Anwar Hasan (editors), Selected Areas in Cryptography: 11th International Workshop, SAC 2004, Revised Selected Papers, Springer, LNCS 3357, page 159,\nMersenne numbers of the form 2ᵐ-1 are well known examples, but they are not useful for cryptography because there are only a few primes (the first Mersenne primes are 3, 7, 31, 127, 8191, 131071, 524287, 2147483647, etc)."
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          "ref": "2013, Louis Komzsik, Magnificent Seven: The Happy Number, Trafford Publishing, page 71:",
          "text": "Mersenne primes, named after the French priest first describing them in the 17th century, are of the form of 2ᵖ-1, where the exponent p is a prime itself. Obviously 7 is a Mersenne prime, since 2³-1#x3D;7, and 3 is a prime. The interesting twist comes in the fact that there are certain primes that are double Mersenne primes. These are of the form 2#x7B;2ᵖ-1#x7D;-1, meaning that the exponent now is not just a prime, but it is itself a Mersenne prime. Since 2#x7B;2²-1#x7D;-1#x3D;7, 7 is the very first double Mersenne prime.",
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        "A prime number which is one less than a power of two (i.e., is expressible in the form 2ⁿ-1; for example, 31=2⁵-1)."
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        "(number theory) A prime number which is one less than a power of two (i.e., is expressible in the form 2ⁿ-1; for example, 31=2⁵-1)."
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          "text": "In addition to being the largest known Mersenne prime, this number is also currently the largest known prime number of any type.",
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          "text": "2005, Jean-Claude Bajard, Laurent Imbert, Thomas Plantard, Modular Number Systems: Beyond the Mersenne Family, Helena Handschuh, M. Anwar Hasan (editors), Selected Areas in Cryptography: 11th International Workshop, SAC 2004, Revised Selected Papers, Springer, LNCS 3357, page 159,\nMersenne numbers of the form 2ᵐ-1 are well known examples, but they are not useful for cryptography because there are only a few primes (the first Mersenne primes are 3, 7, 31, 127, 8191, 131071, 524287, 2147483647, etc)."
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          "text": "Mersenne primes, named after the French priest first describing them in the 17th century, are of the form of 2ᵖ-1, where the exponent p is a prime itself. Obviously 7 is a Mersenne prime, since 2³-1#x3D;7, and 3 is a prime. The interesting twist comes in the fact that there are certain primes that are double Mersenne primes. These are of the form 2#x7B;2ᵖ-1#x7D;-1, meaning that the exponent now is not just a prime, but it is itself a Mersenne prime. Since 2#x7B;2²-1#x7D;-1#x3D;7, 7 is the very first double Mersenne prime.",
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