Jan 3, 2014 · Build a number by writing down consecutive natural numbers starting from $1$ which is divisible by $6$ and gives a reminder of $6$ upon division by $16$. Such a number is …

Jul 16, 2019 · I found that the number : $$123456789101112131415161718192021222324252627282931$$ which is prime number , …

My son was busily memorizing digits of $\\pi$ when he asked if any power of $\\pi$ was an integer. I told him: $\\pi$ is transcendental, so no non-zero integer power can be an integer. …

Is there a comprehensive list of real-number-describers that allude to the properties of that number? For example: Amicable numbers, Abundant, Deficient, Perfect, Carmichael, prime, …

I came across a riddle and I wanted to do know if I solved it correctly: If we write every natural number next to each other: Example: $012345678910111213\\cdots$ What is the digit at …

This is still open, and I wonder whether there is an irrational number which is proven not to be normal, but is not constructed digit-by-digit such as 0.123456789101112131415161718 ⋯ …

Mar 28, 2015 · 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 …

Dec 19, 2018 · 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 …

Close, but not quite. If you plug n=9, k=1 in (I think you are assuming n=10^k-1) it doesn't come out. You need k digits 1, not n. The usual way to write it would be to say the number of digits …

Jan 15, 2019 · A person starts writing consecutive natural numbers from $5$ until $k$ digits are reached. For some values of $k$, this will be impossible, for example $6$ or $8$ are ...