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        "author": "JM Allard",
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            "License :: OSI Approved :: MIT License",
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            "Programming Language :: Python :: 3.5",
            "Topic :: Scientific/Engineering :: Mathematics"
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        "description": "## arith_lib: A set of functions for miscellaneous arithmetic calculation\n\n### List of implemented functions\n\n* **gcd(\\*arg):**\nGreatest common divisor of a set of integers\n\n* **lcm(\\*arg):**\nLeast common multiple of a set of integers\n\n* **bezout(a, b):**\nProvides a particular solution to diophantine equation a.u+b.v=gcd(a, b)\n\n* **modulo_inv(a, b):**\nInverse of a modulo b\n\n* **chinese_remainder(r, m):**\nSolves the modular system:\n   * x = r1 mod m1\n   * x = r2 mod m2\n   * ...\n   * x = r_n mod m_n\n\n* **gene_pseudo_prime():**\nA generator which provides 2, 3, 5 and then all integers non multiple of 2, 3, 5\n\n* **is_prime(n):**\nCheck for n primality. Miller-Rabin primality test is used\n\n* **next_prime(n):**\nProvides the first prime greater or equal to n\n\n* **previous_prime(n)**\nProvides the first prime smaller or equal to n\n\n* **prime_factorization(n, frmt):**\nPrime factorization of n\n\n* **divisors(n):**\nProvides all divisors of n\n\n* **phi(n):**\nEuler totient function\n\n* **moebius(n):**\nMoebius function\n\n* **to_base(n, \\*kwarg):**\nConversion from base 10 to base B\n\n* **frobenius(\\*A, n=None):**\nSolves equation a1.x1 + a2.x2 + .. + ap.xp = n or finds\nthe greatest n for which this equation has no solution.\na1, a2, ... are positive integers.\nx1, x2, ... are the unknowns, positive integers\n\n* **isqrt(n)**\nProvides the integer part of the square root of n\nwhere n is an integer of any size\n\n* **is_miller_rabin_witness(a, n)**\nReturn True if 'a' is a Miller-Rabin witness for n\n\n* **get_random_prime(nbits, lessthan)**\nProvides a random prime with exactly or at most 'nbits' bits\n\n* **is_strong_pseudoprime(a, n)**\nReturn True is n is a strong pseudo prime to base 'a'\n\n\n### Installation\n\npip install arith_lib\n\n\n### Utilization\n\nfrom arith_lib import \\*\n\n\\>>> gcd(15, 20)\n5\n\n\n\n\n\n\n",
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        "keywords": "gcd lcm bezout pseudo prime miller rabin factorization divisor chinese remainder phi euler totient moebius base frobenius isqrt",
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