
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
Category Archives: Prime Numbers
Prime index of a palindromic hexagonal number
A hexagonal number is a polygonal number of the form is a 19digital prime index of the 39digital palindromic hexagonal number: … Continue reading
Prime that is sum of consecutive triangular numbers with prime indices — Part 2
Prime that is sum of consecutive triangular numbers with prime indices — Part 1 Paul asks: If we consider the Index numbers 29 and 43, both prime and sum the consecutive triangular numbers with those prime indices the … Continue reading
13331 expressible as a sum of the squares of three consecutive odd triangular numbers
The odd triangular numbers are given by : 1, 3, 15, 21, 45, 55, 91, 105, 153, 171, 231, 253, 325, 351, 435, 465, 561, 595, 703, 741, 861, 903, 1035, 1081, 1225, 1275, 1431, 1485, 1653, … Continue reading
Num3er 1258723
A Pentagonal number is a polygonal number of the form is a prime number. is also prime index of a 13digital palindromic pentagonal number … Continue reading
Posted in Prime Numbers
Tagged Beautiful Number, Pentagonal number, Polygonal number
Leave a comment
Prime that is sum of consecutive triangular numbers with prime indices — Part 1
then, is a prime number. is the smallest prime that is sum of the first consecutive triangular numbers with prime indices. … Continue reading
Prime p; p^2 is the arithmetic mean of m^2 and n^2
Let be a prime number and that there are 2 distinct positive integers and such that is the arithmetic mean of and Prove that is either … Continue reading
Diophantine equation : y^2 – p = 2^n, where p is a prime number
The diophantine equation where is a prime number < 100 The only solutions to the diophantine equation with y > 0 are given by (n, y) = … Continue reading
Four primes between the squares of two consecutive primes?
Claim: There’s at least four primes between the squares of two consecutive primes, the first being > 3 Find a counterexample. … Continue reading
Palindromic prime 131
131 = 41 + 43 + 47 131 is smallest palindromic prime that is the sum of three consecutive primes. Can find other palindromic primes with this property? … Continue reading
Odd numbers k expressible as 2^n + p, p is prime
, where k is an odd number Here are the first few examples, Can all odd numbers k be expressed as a sum of a power of 2 and … Continue reading