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The following pages link to On the exponential Diophantine equation Pxn+Pxn+1=Pm (Q5229867):

Displaying 23 items.

Powers of two as sums of three Pell numbers (Q1750703) (← links)
An exponential Diophantine equation related to powers of three consecutive Fibonacci numbers (Q2021672) (← links)
An exponential Diophantine equation related to the sum of powers of two consecutive terms of a Lucas sequence and $x$-coordinates of Pell equations (Q2052782) (← links)
On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences (Q2052853) (← links)
Pell-Lucas numbers as sum of same power of consecutive Pell numbers (Q2094544) (← links)
On the Diophantine equation $P_m=P_n^x+P_{n+1}^x$ with Padovan numbers (Q2116817) (← links)
Mersenne numbers which are products of two Pell numbers (Q2141749) (← links)
An exponential Diophantine equation involving the sum or difference of powers of two Pell numbers (Q2144628) (← links)
On the exponential Diophantine equation $F_{n+1}^x - F_{n-1}^x = F_m^y$ (Q2167797) (← links)
Pell and Pell-Lucas numbers of the form $x^a\pm x^b+1$ (Q2210309) (← links)
On the Diophantine equation $\sum_{j=1}^kjP_j^p=P_n^q$ (Q2221046) (← links)
Repdigits as sums of four Pell numbers (Q2316781) (← links)
On the Diophantine equations $F_N=P_M\pm P_{\ell}$ and $P_n= F_m\pm F_{\ell}$ involving Fibonacci and Pell numbers (Q5057062) (← links)
On the $x$-coordinates of Pell equations which are Narayana numbers (Q5057063) (← links)
Complete solution of the exponential Diophantine equation $P_n^x +P_{n+1}^x =P_m^y$ (Q5060324) (← links)
On the exponential Diophantine equation Px n + P x n</ (Q5145758) (← links)
On Pillai’s problem with X-coordinates of Pell equations and powers of 2 II (Q5157562) (← links)
On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr} (Q5877907) (← links)
The Diophantine equations $P_n^x+P_{n+1}^y=P_m^x$ or $P_n^y+P_{n+1}^x=P_m^x$ (Q6042183) (← links)
On the solutions of the Diophantine equation $P_n \pm \frac{a(10^m -1)}{9}=k!$ (Q6044386) (← links)
(Q6076140) (← links)
On the exponential diophantine equation $$U_{n}^x+U_{n+1}^x=U_m$$ (Q6500204) (← links)
On the Diophantine equation $(P^{(k)}_n)^2+(P^{(k)}_{n+1})^2=P^{(k)}_m$ (Q6666562) (← links)