摘要：
Prove that $n,n+2,n+4$ are all primes if and only if $n=3$.Proof:$\Rightarrow$:$n$ must be an odd number,let $n=2k+1,k\in\mathbf{N^+}$.So $n,n+2,n+4$ ... 阅读全文
posted @ 2012-11-29 15:56
叶卢庆
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摘要：
Prove that $n,n+2,n+4$ are all primes if and only if $n=3$.Proof:$\Rightarrow$:$n$ must be an odd number,let $n=2k+1,k\in\mathbf{N^+}$.So $n,n+2,n+4$ ... 阅读全文
posted @ 2012-11-29 15:56
叶卢庆
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Compute the standard factorization of $15!$.Solve:\begin{equation} \sum_{r=1}^{\infty}[\frac{15}{2^r}]=11\end{equation}\begin{equation} \sum_{r=1}^{... 阅读全文
posted @ 2012-11-29 02:43
叶卢庆
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摘要：
Compute the standard factorization of $15!$.Solve:\begin{equation} \sum_{r=1}^{\infty}[\frac{15}{2^r}]=11\end{equation}\begin{equation} \sum_{r=1}^{... 阅读全文
posted @ 2012-11-29 02:43
叶卢庆
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摘要：
Factor $10^k+1$ into a product of primes for $k=1,2,3,4,5$.Solve:When $k=1$,\begin{equation} 11=11\end{equation}.When $k=2$,\begin{equation} 101=101... 阅读全文
posted @ 2012-11-29 02:04
叶卢庆
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摘要：
Factor $10^k+1$ into a product of primes for $k=1,2,3,4,5$.Solve:When $k=1$,\begin{equation} 11=11\end{equation}.When $k=2$,\begin{equation} 101=101... 阅读全文
posted @ 2012-11-29 02:04
叶卢庆
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Factor 51948 into a product of primes.Solve:$$ 51948=2^2\times 3^3\times 13\times 37 $$ 阅读全文
posted @ 2012-11-29 01:20
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摘要：
Factor 51948 into a product of primes.Solve:$$ 51948=2^2\times 3^3\times 13\times 37 $$ 阅读全文
posted @ 2012-11-29 01:20
叶卢庆
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