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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 1234567890 There is several ways to write the number 1234567890 1234567890 : 1 23456789 ×109 1 23456789 × 10 9 2 ×32 × 5 × 3607 × 3803 2 × 3 2 × 5 × 3607 × 3803 617283945 × 2 617283945 × 2 But all these notations are longer Can you find a shorter notation than 1234567890 1234567890 ? EDIT : For this
- Why does this pattern occur: - Mathematics Stack Exchange
I came across the following: 1 × 8 + 1 = 9 12 × 8 + 2 = 98 123 × 8 + 3 = 987 1234 × 8 + 4 = 9876 12345 × 8 + 5 = 98765 123456 × 8 + 6 = 987654 1234567 × 8 + 7 = 9876543 12345678 × 8 + 8 = 98765432 123456789 × 8 + 9 = 987654321 I'm looking for an explanation for this pattern I suspect that there is some connection to the series 1 (1 − x)2 = 1 + 2x + 3x2 + ⋯ This post asks the
- Does $\\pi$ contain the combination $ 1234567890$?
Does π π contain the combination 1234567890 1234567890? [closed] Ask Question Asked 11 years, 11 months ago Modified 7 years, 5 months ago
- Why does $987,654,321$ divided by $123,456,789 = 8$?
Why does 987, 654, 321 divided by 123, 456, 789 = 8? Is it a coincidence or is there a special reason? Note: The numbers are a mirror of each other
- Permutation identities similar to - Mathematics Stack Exchange
Permutation identities similar to (7901234568 9876543210) ⋅ 1234567890 = 0987654312 (7901234568 9876543210) ⋅ 1234567890 = 0987654312 Ask Question Asked 12 years, 8 months ago Modified 10 years, 11 months ago
- 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
- The Keyboard Shift Cipher - Code Golf Stack Exchange
Given the following input: An integer n where n > 0 A string s where s is not empty and s~=[0-9A-Z]+ (alpha-numeric capitals only) Using a standard, simplified QWERTY keyboard (as shown below): 1234567890 QWERTYUIOP ASDFGHJKL ZXCVBNM Perform the following operation: Find the original row that each character is in on the keyboard Replace the letter with the correct shifted equivalent for n
- Why is $\\frac{987654321}{123456789} = 8. 0000000729?!$
Many years ago, I noticed that 987654321 123456789 = 8 0000000729 … 987654321 123456789 = 8 0000000729 … I sent it in to Martin Gardner at Scientific American and he published it in his column!!! My life has gone downhill since then:) My questions are: Why is this so? What happens beyond the " 729 729 "? What happens in bases other than 10 10?
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