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- Properties of The Number 137 - Mathematics Stack Exchange
There are some other Properties for $137$ in Wikipedia I found another Properties such that $137=2^7+2^3+1$ or the only way to write the number $137$ as a summation of two square numbers is $137=4^2+11^2$ thanks for your advice and suggestions Edit: After reading comments and answers, I want to suggest a definition for such numbers like $137$
- Does $\\pi + \\pi^2 + 4 \\pi ^3 \\approx 137$ matching the inverse of . . .
The sum of $\pi + \pi^2 + 4 \pi^3 \approx 137 03631$ The inverse of $\alpha$, the fine-structure constant, is $\alpha^ {-1}=137 035999$ I know of the fine-structure constant and this set off alarm bells in my head So my questions: Is this relationship documented in literature? Is this numerology, coincidence, or of statistical significance?
- Find an integer $r$ with $0 ≤ r ≤ 10$ such that $7^ {137 }≡ r (\text . . .
Your working is fine You need to end by noting that $-5 \equiv 6 \pmod {11}$ since they asked for a residue between $0$ and $10$ An alternative approach would be: $7^ {137} \equiv (-4)^ {137} \equiv -2^ {274} \equiv - (2^ {5})^ {54} \cdot 2^4 \equiv - (32)^ {54} \cdot 16 \equiv - (-1)^ {54} \cdot 16 \equiv - 16 \equiv -5 \equiv 6 \pmod {11}$ I prefer this approach to reduce the base in
- calculus - Exponential Decay Question: The Half-Life of Cesium-137 is . . .
Exponential Decay Question: The Half-Life of Cesium-137 is 30 Years Suppose We Have a 100-mg Sample Ask Question Asked 10 years, 3 months ago Modified 10 years, 3 months ago
- unit of measure - Converting the price per square meter to the price . . .
For a maths project, we are designing a house One of the elements of this is the fencing, and we need to calculate the cost of fencing per linear meter The information that I have is that a $137$
- geometry - How to calculate opposite direction angle - Mathematics . . .
I searched but couldn't find on Google: My question is, how do I find the opposite direction of an angle, for example 170 degree, how do I calculate the opposite direction in degrees? Thanks in a
- If f exists and f(c) gt; 0 then f(x) gt; 0 for all |x - c| lt; d for some . . .
You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do I get it? Instead, you can save this post to reference later
- How do you calculate the modulo of a high-raised number?
I need some help with this problem: $$439^{233} \\mod 713$$ I can't calculate $439^{223}$ since it's a very big number, there must be a way to do this Thanks
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