- algebra precalculus - Which is greater: $1000^ {1000}$ or $1001^ {999 . . .
The way you're getting your bounds isn't a useful way to do things You've picked the two very smallest terms of the expression to add together; on the other end of the binomial expansion, you have terms like $999^ {1000}$, which swamp your bound by about 3000 orders of magnitude
- How much zeros has the number $1000!$ at the end?
1 If a number ends with n n zeros than it is divisible by 10n 10 n, that is 2n5n 2 n 5 n A factorial clearly has more 2 2 s than 5 5 s in its factorization so you only need to count how many 5 5 s are there in the factorization of 1000! 1000!
- abstract algebra - How do you Compute $7^ {1000} \mod 24 . . .
3 I'm being asked to compute $7^ {1000} \mod 24$ I have Fermat's Little Theorem and Euler's Theorem How do I use these to compute $7^ {1000} \mod 24$? I'm stuck because $24$ is not prime In this case, I think I have to use Euler's Theorem Can anyone show me what to do?
- Keep rolling two dice until the cumulative sum hits 1000
Keep rolling two dice until the cumulative sum hits 1000 Ask Question Asked 2 years, 3 months ago Modified 2 years, 3 months ago
- terminology - What do you call numbers such as $100, 200, 500, 1000 . . .
What do you call numbers such as $100, 200, 500, 1000, 10000, 50000$ as opposed to $370, 14, 4500, 59000$ Ask Question Asked 13 years, 11 months ago Modified 9 years, 7 months ago
- limits - Finding greatest element in series $1000^n n!$ - Mathematics . . .
Finding greatest element in series $1000^n n!$ Ask Question Asked 9 years ago Modified 9 years ago
- Look at the following infinite sequence: 1, 10, 100, 1000, 10000,
What is the proof that there are 2 numbers in this sequence that differ by a multiple of 12345678987654321?
- How many numbers from $1$ to $1000$ can be written as the sum of $4$s . . .
I like the numbers $4$ and $5$ I also like any number that can be added together using $4$ s and $5$ s Eg, $$9 = 4+5 \qquad 40 = 5 + 5 + 5 + 5 + 5 + 5 + 5 +5$$ How many number have this property from 1 to 1000? Multiples of $4$ s and $5$ s are easy, but how do I calculate the number of numbers from different combinations of adding $4$ and $5$? (And which ones are different from multiples of
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