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Allam's Numbers - Numbers with Interesting Digit Properties

https://sites.google.com/site/allamsnumbers/home/part-1/numbers-with-interesting-digit-properties
All pandigital numbers with evenly distributed digits are divisible by 9, because 1+2+3+4+5+6+7+8+9 = 45, which is divisible by 9. 123456789 is equal to 9 * ...

REPEATEDLY APPENDING ANY DIGIT TO GENERATE ...

https://research.google.com/pubs/archive/40337.pdf
It is easy to see that the number obtained by appending 6m + i 7s to 891 is divisible by 3,. 1. Page 2. 2. JON GRANTHAM, WITOLD JARNICKI, JOHN RICKERT, AND STAN ...

Mathematical functions | BigQuery | Google Cloud

https://cloud.google.com/bigquery/docs/reference/standard-sql/mathematical_functions
Returns the largest integral value that isn't greater than X. X, FLOOR(X) ... 3,5,1, 5. This function supports specifying collation. Return Data Types. Data ...

Allam's Numbers - Large Numbers List Part 2

https://sites.google.com/site/allamsnumbers/home/appendix/large-numbers-list-part-2
The largest known prime where all digits are prime (being either a 2, 3, 5, or 7). It consists of 1559 repetitions of 2255737522 followed by 2255737523. It was ...

Allam's Numbers - Large Numbers List Part 1

https://sites.google.com/site/allamsnumbers/home/appendix/large-numbers-list-part-1
5 is also half of our numeral base, so the multiples of 5 are somewhat round numbers. 6. 2*3. If you multiply an even number by 6, the last digit stays the same ...

Basic Numeracy

https://docs.google.com/document/d/1JSLF61PtcZxg07yQq6ELx5gtFyKn8dHzbUM_-NUXqOc/
In Indian system, numbers are expressed by means of symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, called digits. Here, 0 is called insignificant digit.

Allam's Numbers - Reptend Function

https://sites.google.com/site/allamsnumbers/home/part-3/reptend-function
r(3) = (10^1 - 1)/3 = 3. r(6) = ((10^1 - 1)/3)*(5 mod 3) = 3*2 = 6 (Normally, we would simply multiply by 5, but since 5 is greater than 3 we use the modulo ...

Allam's Numbers - Hyperoperational Numbers

https://sites.google.com/site/allamsnumbers/home/part-2/hyperoperational-numbers
... smallest googolisms. Next up: 5^^3 = 5^(5^5) = 53125 = 5^^3 is a number of 2,185 digits! This number is approximately the 14th power of 4^^3, and is greater ...

Creating A Formula To Divide a Number Across Multiple Columns ...

https://support.google.com/docs/thread/33039427/creating-a-formula-to-divide-a-number-across-multiple-columns-using-logic?hl=en
Mar 10, 2020 ... Try entering some numbers into column B? =ARRAYFORMULA(IF(B2="",,{ARRAY_CONSTRAIN(1000*{5,5 ... Wish I could buy you a beer or 3. Matt:King.

LARGE NUMBERS - ULNL

https://sites.google.com/site/largenumbers/home/appendix/a/ulnl
Reciprocals of powers of 2 always form terminating decimals. If we multiply 1/8 in decimal by 8 we get exactly 1. Note that 1/8 = 1/2^3 = 5^3 ...

Allam's Numbers - It's Prime Time!

https://sites.google.com/site/allamsnumbers/home/part-1/its-prime-time
2 is the only even prime number, as all other even numbers are divisible by 2. ... The smallest primes in arithmetic progression of 3 are 3, 5, 7, followed by 31, ...

Allam's Numbers - What Comes Next

https://sites.google.com/site/allamsnumbers/home/part-1/what-comes-next
Any power of 8 minus 1 is divisible by 7. The units place digit of a base-8 repunit in decimal exhibits a repeating cycle: 1, 9, 3, 5, 1, 9, 3 ...

LARGE NUMBERS - 1.5.2 - The Small Primes

https://sites.google.com/site/largenumbers/home/1-5/1-5-2-the-small-primes
So although 20 can not be evenly divided into 3, it can be evenly ... p(3) = 5 ( 5 is the 3rd prime ). The first column "n" specifies the sequence ...

Pointless Large Number Stuff - PGLN2: Pointless Gigantic List of ...

https://sites.google.com/site/pointlesslargenumberstuff/home/l/pgln2
This is the smallest odd-abundant number that is not divisible by 3. It is ... Though three digits can name more different numbers than four fours, the largest ...

Smallest quasi-repdigit primes of given form

https://sites.google.com/view/smallest-quasi-repdigit-primes
Three-digit number coprime to 10 (abc), length of the smallest prime of the ... divisible by 3 if the number of 5's is == 0 mod 3. divisible by 7 if the ...

LARGE NUMBERS - 2.3.1 - Skewes' Numbers

https://sites.google.com/site/largenumbers/home/2-3/skewes-numbers
Any number greater than 9 ending in 0,2,4,5,6, and 8 is clearly not prime ... divisible by 2,3 and 5 from 1 to 408,000[1]. This and similar tables were ...

Euler 1 - Colab

https://colab.research.google.com/drive/1jCyq2YNORj9TT2Vy-gI4uL2YnjBi49zj?usp=sharing
By listing the first six prime numbers: 2, 3, 5, 7, 11, and ... Find the thirteen adjacent digits in the 1000-digit number that have the greatest product.

Allam's Numbers - The Factorials

https://sites.google.com/site/allamsnumbers/home/part-1/the-factorials
The same happens at 50!, 75!, 100!, and at 125!, three trailing zeroes are added. The number of times n! is divisible by a certain prime p is computed in a ...

General Test 2005 Rice Math Tournament February 26, 2005

https://groups.google.com/group/clpuneet/attach/d76f546652654d53/gen2005questions2.pdf?part=0.3
Using 1, 2, and 3 to make 4-digit positive integers, how many include both 1 and 2? 5. In the game of math ball, teams can score by making a basket which yields ...

Grade 5 - Bridging for Math Strength

https://sites.google.com/view/bridgingmathstrength/grade-5
Students can read, write, and identify the place and value of each digit in a nine-digit whole number. Skip count by 2s. Students can use a variety of ...