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  1. Properties of The Number 137 - Mathematics Stack Exchange

    Dec 2, 2016 · 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 …

  2. number theory - Is $137 = 2^7 + 3^2$ the unique sum of a power …

    Dec 8, 2025 · Is $137 = 2^7 + 3^2$ the unique sum of a power of $2$ and a power of $3$? [closed] Ask Question Asked 10 days ago Modified 10 days ago

  3. Find an integer $r$ with $0 ≤ r ≤ 10$ such that $7^ {137 }≡ r (\text ...

    Oct 26, 2020 · 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} …

  4. Polynomial system of equations over integers

    Jul 30, 2023 · Not that it helps in this case, but you can also subtract the equations, to get $ (y-1)^4- (x-1)^4=609$

  5. abstract algebra - Remainder of dividing $x^ {137}+x+1$ by $x+5 ...

    little bit. I'm trying to solve a problem that said, what is the remainder of dividing x ^ 137 + x + 1 in x + 5? in $\mathbb {Z}_7 [x]$

  6. calculus - Exponential Decay Question: The Half-Life of Cesium …

    Aug 6, 2015 · Exponential Decay Question: The Half-Life of Cesium-137 is 30 Years. Suppose We Have a 100-mg Sample. Ask Question Asked 10 years, 4 months ago Modified 10 years, 4 …

  7. Upper and lower bounds - Mathematics Stack Exchange

    Oct 27, 2017 · By halving 5 (the number you are rounding to) = 2.5 Then to find the upper bound you add it to the number you are rounding so 135 + 2.5 = 137.5 ( this is a multiple of 5).

  8. 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.

  9. Generate all possible combinations of 3 digits without repetition

    May 22, 2013 · It's possible to generate all possible combinations of 3 digits by counting up from 000 to 999, but this produces some combinations of digits that contain duplicates of the same …

  10. An interesting problem about abstract function and set

    Dec 18, 2025 · Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and …