2 citations · 4 across the 5 of their papers we have counts for
5 papers
General solutions of sums of consecutive cubed integers equal to squared integers
Vladimir Pletser
All integer solutions to the problem of the sums of consecutive cubed integers (, ) equaling squared integers…
On some general solutions of the simple Pell equation
Vladimir Pletser
Two theorems are demonstrated giving analytical expressions of the fundamental solutions of the Pell equation found by the method of continued fractions for two sq…
Additional congruence conditions on the number of terms in sums of consecutive squared integers equal to squared integers
Vladimir Pletser
The problem of finding all the integer solutions in , and of sums of consecutive integer squares starting at equal to squared integers , has no s…
Product of Two Consecutive Fibonacci or Lucas Numbers Divisible by their Prime Sum of Indices
Vladimir Pletser
We show that the product of two consecutive Fibonacci (respectively Lucas) numbers is divisible by the sum of their indices if this sum is a prime number different from 5 and in th…
Does the Ishango Bone Indicate Knowledge of the Base 12? An Interpretation of a Prehistoric Discovery, the First Mathematical Tool of Humankind
Vladimir Pletser
In the early fifties, the Belgian Prof. J. de Heinzelin discovered a bone in the region of a fishermen village called Ishango, at one of the farthest sources of the Nile, on the bo…