K. Bhoi

most citedPell and Pell-Lucas numbers as sums of three repdigits

2 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2022★ 2 cited

Padovan numbers which are concatenations of three repdigits

Kisan Bhoi, Prasanta Kumar Ray

Padovan sequence is a ternary recurrent sequence defined by the recurrence relation $P_{n + 3} = P_{n + 1} + P_{n}$ with initial terms $P_{0} = P_{1} = P_{2} = 1.$ In this study it is shown that…

math.NT2022

On the Diophantine equation $B_{n_{1}} + B_{n_{2}} = 2^{a_{1}} + 2^{a_{2}} + 2^{a_{3}}$

Kisan Bhoi, Prasanta Kumar Ray

In this study we find all solutions of the Diophantine equation $B_{n_{1}} + B_{n_{2}} = 2^{a_{1}} + 2^{a_{2}} + 2^{a_{3}}$ in positive integer variables $(n_{1}, n_{2}, a_{1}, a_{2}, a_{3}),$ …

math.NT2020★ 2 cited

Pell and Pell-Lucas numbers as sums of three repdigits

Kisan Bhoi, Bijan Kumar Patel, Prasanta Kumar Ray

In this study, we find all Pell and Pell-Lucas numbers which are sums of three base 10 repdigits. The proof of our main theorem uses lower bounds for linear forms in logarithms of…

Padovan numbers which are concatenations of three repdigits

On the Diophantine equation Bn1​​+Bn2​​=2a1​+2a2​+2a3​

Pell and Pell-Lucas numbers as sums of three repdigits

On the Diophantine equation $B_{n_{1}} + B_{n_{2}} = 2^{a_{1}} + 2^{a_{2}} + 2^{a_{3}}$