table of factors of small Mersenne numbers

The following table lists the prime factors for some small Mersenne numbers, specifically, numbers of the form $2^{p}-1$ where $p$ is a prime in the range $1<p<200$ and $2^{p}-1$ is composite. Thus, the following values of $p$ have been left off the table: 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127 and all primes greater than 199 (see table of Mersenne primes). The numbers get quite large, and correspondingly, so do their factors. All these numbers are squarefree (given the Möbius function, $\\mu(2^{p}-1)\eq 0$ ). Their factors are all of the form $2mp+1$ , with $m$ in the range $0<m<2^{p-1}$ .

单词	TableOfFactorsOfSmallMersenneNumbers
释义	table of factors of small Mersenne numbers The following table lists the prime factors for some small Mersenne numbers, specifically, numbers of the form $2^{p}-1$ where $p$ is a prime in the range $1<p<200$ and $2^{p}-1$ is composite. Thus, the following values of $p$ have been left off the table: 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127 and all primes greater than 199 (see table of Mersenne primes). The numbers get quite large, and correspondingly, so do their factors. All these numbers are squarefree (given the Möbius function, $\\mu(2^{p}-1)\eq 0$ ). Their factors are all of the form $2mp+1$ , with $m$ in the range $0<m<2^{p-1}$ .
随便看	sigma, delta constant SigmaDerivation sigma derivation sigmafinite sigmaFunction SigmaringOfSets sigma–ring of sets Signature signature SignatureOfAPermutation signature of a permutation SignedMeasure signed measure SignRelation sign relation SignRelationalComplex sign relational complex SignumFunction signum function SikorskisExtensionTheorem Sikorski’s extension theorem SilvermanToeplitzTheorem Silverman-Toeplitz theorem SilverRatio silver ratio