Sep 22, 2025 · I'm working on a Koshy's elementary number theory exercise and need help finding all triangular numbers less than 1000 that are palindromic. The problem says as follows: Find all …

A hypothetical example: You have a 1/1000 chance of being hit by a bus when crossing the street. However, if you perform the action of crossing the street 1000 times, then your chance of being ...

Mar 1, 2018 · My task requires to find all numbers from $1-1000$ such that they are divisible by $2$ or $3$ and no other primes. I know that $2$ divides even numbers and I can use the formula $\left …

May 13, 2014 · 1 the number of factor 2's between 1-1000 is more than 5's.so u must count the number of 5's that exist between 1-1000.can u continue?

Jun 11, 2023 · First of all, from 99 to 1000, we have 100 to 999, meaning $9*10*10$ since 1 to 9 is 9 numbers. We have 900 numbers. Then, to get all numbers with at least one $7$ in their digits, we …

May 12, 2015 · How many integers are there between $1,000$ and $10,000$ divisible by $60$ and all with distinct digits? I know that there are $8,999$ integers in total, and $\lfloor\frac {8999} …

Oct 3, 2023 · The number of bacteria in a culture is 1000 and this number increases by 250% every two hours. How many bacteria is present after 24 hours?

I would like to find all the expressions that can be created using nothing but arithmetic operators, exactly eight $8$'s, and parentheses. Here are the seven solutions I've found (on the Internet)...

Feb 4, 2020 · Prove $1.01^ {1000} > 1000$ without using calculator. With WolframAlpha $1.01^ {1000} \approx 20959$, but can this be proved without calculator?

Apr 26, 2017 · A reasonable insight, but lacking rigor. There are demonstrably intervals of $1000$ consecutive integers that contain more than $10$ primes and also intervals of that size that contain …