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  • What is the shortest way to write the number $1234567890$?
    Here's a challenge : find the shortest way to write the number $1234567890$ There is several ways to write the number $1234567890$ : $1 23456789 × 10^9$ $2×3^2×5×3607×3803$ $617283945×2$ But all these notations are longer Can you find a shorter notation than $1234567890$ ?
  • Why does this pattern occur: - Mathematics Stack Exchange
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • Does $\\pi$ contain the combination $ 1234567890$?
    In the first 1 billion digits of $\pi$, I found two instances of $123456789$, but no instances of $1234567890$ Here's a simple example In the first billion digits, there were $10049$ instances of $12345 $ There were $969$ instances of $123456$ There were $97$ instances of $1234567$ There were $9$ instances of $12345678$
  • A keyboard so real you can almost TASTE it - code golf
    `1234567890-=BS TAB qwertyuiop[]\ CAPS asdfghjkl;'ENTER SHIFT zxcvbnm, SHIFT It enters it pretty straightforward, but there are a few tricks that we use to save characters For example, ¬19 enters "123456789", ³ enters three spaces, and we duplicate the shift so that we don't need to enter it multiple times
  • Why does $987,654,321$ divided by $123,456,789 = 8$?
    Consider the product $$9\cdot123456789=1111111101 $$ This pattern is due to the fact that $9$ is one less than the basis of the numeration so that the products with individual digits (from the right $81,72,63,54\cdots$) have an increasing unit digit, while the tens digit increases
  • Permutation identities similar to - Mathematics Stack Exchange
    $(7901234568 9876543210) * 1234567890 = 0987654312$ The above re-write (with slightly artificial but still valid pre-pending right hand side of the initial arithmetic identity with leftmost $0$) makes it to be the integer arithmetic identity, where all members are some specific permutations of all decimal base digits $1,2, ,8,9,0$ (with no
  • Why is $\\frac{987654321}{123456789} = 8. 0000000729?!$
    Many years ago, I noticed that $987654321 123456789 = 8 0000000729\\ldots$ I sent it in to Martin Gardner at Scientific American and he published it in his column!!! My life has gone downhill si
  • Are there infinitely many primes of the form
    Related to this question, What is the smallest prime number made of sequential number? are there infinitely many primes of the following form (OEIS A057137)? $1, 12, 123, 1234, 12345, 123456, 12


















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