Notes on an elliptic curve test for mersenne primes 数的椭圆曲线测试的注记
2.
Never before have mersenne primes been bunched so closely together 之前的梅森素数的分布从未像现在这般稠密。
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On september 4 , 2006 , a computer reported finding the 44th known mersenne prime 大意是说2006年9月4日,一台计算机报告了第44个梅森素数。
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The chance that the exponent you are testing will yield a mersenne prime is about 1 in 143369 你正在测试的指数产生一个梅森素数的概率是1 / 143369
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The last 5 mersenne prime exponents all fell between 224 and 225 - - and we haven ' t finished testing all the exponents in that range 最后5个梅森素数的指数均在2 ^ 24与2 ^ 25之间? ?并且这一范围内的指数我们还没有全部检测完。
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When looking at the exponents , we expect only 1 . 78 mersenne primes between powers of two , and prior to 2003 , a maximum of 3 mersenne primes were found between powers of two 在仔细观察了所发现的梅森指数之后,我们发现在2的两个连续幂次之间平均只有1 . 78个梅森素数的指数,在2003年之前, 2的两个连续幂次之间最多有3个梅森素数的指数。