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Tag Archives: Oblong number
Triangular oblongs : a(a+1) = b(b+1)/2
An Oblong number is a number which is the product of two consecutive integers, that is, a number of the form A Triangular number is a number of the form A Triangular oblong number: … Continue reading
Palindromic Oblong numbers for palidromic/nonpalidromic indices
Oblong number is palindromic for any palidromic index of the form , where , , , , , , and for nonpalindromic index of the form , … Continue reading
Oblong numbers primes solutions of p(p+1) + q(q+1) = r(r+1)
An Oblong number is a number which is the product of two consecutive integers, that is, a number of the form Find primes solutions of the equation Prove that the solution … Continue reading
Oblong numbers : x(x+ 1), y(y+ 1), z(z+ 1) in arithmetic progression
An Oblong number is a number which is the product of two consecutive integers, that is, a number of the form There exist infinitely many triplets of positive integers , for which the numbers … Continue reading
Prime numbers 127, 3697, 5227
are prime numbers such that the numbers , , form an arithmetic progression : Find other such numbers The problem may be expressed as follows: find three triangular numbers with prime indices, … Continue reading
Oblong numbers  O(a) + O(b) = O(c) – O(d)
An Oblong number is a number which is the product of two consecutive integers, that is, a number of the form Let be the nth oblong number, for Show that there are infinitely many … Continue reading
Concatenations Oblong numbers O(n)  x^2 = A^2
An Oblong number is a number of the form Here are the first few solutions for … Continue reading
Squares & Oblong numbers 1*2 – 2*3 + 3*4 – 4*5 + … + (1)^(n1) n(n+1)
An Oblong number is a number of the form Let Determine the values of for which (1) is a square number (2) is an Oblong number … Continue reading
Difference between an Oblong number and Pentagonal is 1
Oblong numbers are of the form , where is the nth triangular number. An integer of the form is called a Pentagonal number. The first few solutions are : … Continue reading