
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: March 2013
Num3er 1808010808
Repeat the string 1808010808 1560 times, and tack on a 1 the end: The resulting 15601digit number is prime, and because it’s a palindrome made up of the digits 1, 8, and 0, it remains prime when … Continue reading
Find integer N ; N = √(x + a√p) – √(x – a√p)
Find all integers x for which the expression N = √(x + 70710678√173) – √(x – 70710678√173) N is an integer
Fibonacci numbers a^2 + b^2 + c^2 + d^2 = e^2
The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, … Continue reading
Prime num3ers under 100  10^p – p
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, … Continue reading
Smallest integers formed by two digits and divisible by them
(1) Select two distinct numbers a and b, from 2 to 9 2 ≤ a ≤ 9 2 ≤ b ≤ 9 … Continue reading
Equation (a^a)^n = b^b
(a^a)^n = b^b Let’s find solutions in positive integers. Trivial solution: a = b = 1 How many values of n are there for which the equation has no nontrivial solution? … Continue reading
QWERTY Keyboard – Part 2
Older post: Letters on the QWERTY keyboard The English Alphabet has 26 letters. In alphabetical order, they are: a b c d e f g h i j … Continue reading
Pandigital Smith Num3ers
Smith Num3ers: Definition A Smith number is a composite number for which, in a given base (in base 10 by default), the sum of its digits is equal to the sum of the digits in its prime factorization. … Continue reading
Multiplication puzzle
Insert 4 multiplication signs inside the number sequence 234567898765432 and obtain a multiplication of 5 numbers. Find the largest product. E.g. 2 * 3 * 4567 * 8 * 98765432 = 21650962941312 but this … Continue reading
Cubes Part 4 Palindromic sums
Palindromic sums of cubes of consecutive integers: Palindromic sums of cubes of 2 consecutive integers : x^3 + (x + 1)^3 1^3 + 2^3 = 9 … Continue reading
Posted in Uncategorized
1 Comment