- Last digits of power towers $7$, $7^7$, $7^{7^7}$, $7^{7^{7^7 . . .
While playing around with Wolfram Alpha, I noticed that the last four digits of $7^ {7^ {7^ {7^7}}}, 7^ {7^ {7^ {7^ {7^7}}}},$ and $7^ {7^ {7^ {7^ {7^ {7^7}}}}}$were
- Prove some member of the sequence $7, 77, 777, 7777, \dots$ is . . .
Prove that some member of the sequence $7, 77, 777, 7777, \dots$ is divisible by $2019$ So far I have figured that as $2019$ is divisible by $3$, then if one of the terms of the sequence $$ a_ {n}
- How to calculate a repeating decimal for any fraction?
I have been struggling for a while to try to code a program to convert any fraction 1 n to a repeating decimal So far, my program works only for numbers that end in 1, 3, 7, or 9 (n cannot divide
- Is 777 777-7777 a real phone number? - Answers
There is no area code 777 in North America (USA, Canada, etc ) There are several possibilities:The Caller ID data somehow got corrupted on its way to your phone It is relatively easy to send fake
- number theory - evaluate the last digit of $7^ {7^ {7^ {7^ {7 . . .
As a bonus, applying the same reasoning as in the answers, you can show that the last two digits will be 43
- How do you make a trollface with text? - Answers
Type this in a facebook chat [ [116616581692281]] 777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 777777777
- complex numbers - Why is $ |z|^2 = z z^* $? - Mathematics Stack Exchange
I've been working with this identity but I never gave it much thought Why is $ |z|^2 = z z^* $ ? Is this a definition or is there a formal proof?
- The last 2 digits of $7^ {7^ {7^7}}$ - Mathematics Stack Exchange
Because you are working with the last 2 digits of $7^n$, note that it is periodic with pattern $01, 07, 49, 43, 01, \ldots$
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