-
Recent Posts
- A^2 = B^3 + C^3
- Set {4,b,c,d,e} such that the product of any two of them increased by 1 is a square
- smallest integer whose first n multiples all contain a 3
- Set {3,b,c,d,e} such that the product of any two of them increased by 1 is a square
- Set {2,b,c,d,e} such that the product of any two of them increased by 1 is a square
Recent Comments
Archives
- February 2017
- January 2017
- December 2016
- November 2016
- October 2016
- September 2016
- August 2016
- July 2016
- June 2016
- May 2016
- April 2016
- March 2016
- February 2016
- January 2016
- December 2015
- November 2015
- October 2015
- September 2015
- August 2015
- July 2015
- June 2015
- May 2015
- April 2015
- March 2015
- February 2015
- January 2015
- December 2014
- November 2014
- October 2014
- September 2014
- August 2014
- July 2014
- June 2014
- May 2014
- April 2014
- March 2014
- February 2014
- January 2014
- December 2013
- November 2013
- October 2013
- September 2013
- August 2013
- July 2013
- June 2013
- May 2013
- April 2013
- March 2013
- February 2013
- January 2013
- December 2012
- November 2012
- October 2012
- September 2012
- August 2012
- July 2012
- June 2012
- May 2012
- April 2012
- March 2012
- February 2012
- January 2012
Categories
Meta
Monthly Archives: August 2013
Grid 9X9 | 18 prime num3ers
1 7 3 4 2 8 7 2 1 6 1 1 1 3 1 7 6 9 6 … Continue reading
DigitSum() | Square num3ers
2-digit squares: 16, 25, 36, 49, 64, 81 4^2 = 16 1+6 = 7 … Continue reading
DigitSum, Squares of 62, 64, 66
Part 1 66^2 = 4356 66^2 contains consecutive digits (3, 4, 5, 6) Can you find a square that contains (1) consecutive even digits (2) consecutive odd digits —————————————— Part 2 … Continue reading
Two Puzzles | Arithmetic progression
Arithmetic progression – definition http://en.wikipedia.org/wiki/Arithmetic_progression (1) Find three numbers A, B, C such that A, B, C is an arithmetic progression and the sums … A + B B + C A … Continue reading
Make 1111 using (+, -, *, /, ^) and digits 1-9 only once
Make 1111 using (+, -, *, /) and exponentiation using only one digit from 1 to 9 each time. For example, (6 + 6^6)/(6 + 6*6) = 1111 the digit 6 is repeated only six times. … Continue reading
Puzzle | Square numbers
Find three numbers (x, y, z) such that x + (x * y * z), y + (x* y * z) and z + (x* y * z) are all … Continue reading
Puzzles | Squares and Square roots
(1) Find integers (x, y) such that x + √y = 7 y + √x = 11 Note that the first few twin prime pairs are: (3, 5), … Continue reading
Num3er 81619
81619 is the 7982-nd prime number. 2897 is the digit-reversal of 7982 2897 is the 419-th prime. 81619 = (7)(2^4)(3^6) – (2^2 + 5^2) 81619^2 = … Continue reading
Sums and Products
See older post: Num3ers 12345678 and 87654321 12 + 43 + 65 + 78 = 87 + 56 + 34 + 21 … Continue reading
Num3ers 12345678 and 87654321
12345678 = 2 * 3 * 3 * 47 * 14593 87654321 = 3 * 3 * 1997 * 4877 (12345678 * 9) + 9 = 111,111,111 (12345678 * 8) … Continue reading