## Found 149 Documents (Results 1–100)

100
MathJax

### Mersenne numbers which are products of two Pell numbers. (English)Zbl 07531928

MSC:  11B39 11J86 11D61
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### On Fermat and Mersenne numbers expressible as product of two $$k$$-Fibonacci numbers. (English)Zbl 07510862

MSC:  11B39 11J86
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### On the Diophantine equation $$P_m=P_n^x+P_{n+1}^x$$ with Padovan numbers. (English)Zbl 07493127

MSC:  11D61 11J86
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### Fibonacci numbers as sums of two Padovan numbers. (English)Zbl 07492757

MSC:  11J86 11D61
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### $$k$$-Pell numbers as product of two repdigits. (English)Zbl 07488617

MSC:  11B39 11J86
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### On solutions of the Diophantine equation $$F_{n_1}+F_{n_2}+F_{n_3}+F_{n_4}=2^a$$. (English)Zbl 07528433

MSC:  11B39 11J86 11D61
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### Powers of three as difference of two Fibonacci numbers $$F_n-F_m=3^p)$$. (English)Zbl 07523001

MSC:  11B39 11J86 11D61
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### Repdigits as difference of two Fibonacci or Lucas numbers. (English)Zbl 07509978

MSC:  11B39 11J86 11D61
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### Fermat and Mersenne numbers in $$k$$-Pell sequence. (English)Zbl 07509977

MSC:  11B39 11J86
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MSC:  11Axx
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### Repdigits base $$b$$ as products of two Lucas numbers. (English)Zbl 07462343

MSC:  11B39 11J86 11D61
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### $$k$$-Fibonacci numbers close to a power of 2. (English)Zbl 07462257

MSC:  11B39 11J86
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### Repdigits base $$b$$ as products of two Fibonacci numbers. (English)Zbl 07453748

MSC:  11B39 11J86 11D61
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### Pillai’s problem with $$k$$-Fibonacci and Pell numbers. (English)Zbl 07442736

MSC:  11B39 11J86
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### Tribonacci numbers with two blocks of repdigits. (English)Zbl 07438340

MSC:  11B39 11J86
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### On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. (English)Zbl 1481.11020

MSC:  11B39 11D61 11J86
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### Fibonacci or Lucas numbers which are products of two repdigits in base $$b$$. (English)Zbl 07434788

MSC:  11B39 11J86 11D61
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### Diophantine triple with Fibonacci numbers and elliptic curve. (English)Zbl 07424086

MSC:  11B39 11G05 11D09
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### $$k$$-generalized Fibonacci numbers which are concatenations of two repdigits. (English)Zbl 07414938

MSC:  11B39 11A63 11J86
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### Repdigits base $$b$$ as products of two Pell numbers or Pell-Lucas numbers. (English)Zbl 07413719

MSC:  11B39 11J86 11D61
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### On Pillai’s problem with $$X$$-coordinates of Pell equations and powers of 2. II. (English)Zbl 07410933

MSC:  11D61 11B39 11D45
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### Padovan and Perrin numbers which are products of two repdigits in base $$b$$. (English)Zbl 1473.11037

MSC:  11B39 11A63 11J86
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### Extension of a Diophantine triple with the property $$D(4)$$. (English)Zbl 07399062

MSC:  11D09 11D45 11J86
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### On two-generator Fibonacci numerical semigroups with a prescribed genus. (English)Zbl 07388097

MSC:  11Dxx 11B39 20M13
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### On the exponential Diophantine equation $$F_{n+1}^x - F_{n-1}^x = F_m$$. (English)Zbl 07388040

MSC:  11D61 11B39 11J86
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### Duplications In the $$k$$-generalized Fibonacci sequences. (English)Zbl 07382065

MSC:  11B39 11D61
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### Generalized Lucas numbers which are concatenations of two repdigits. (English)Zbl 07372255

MSC:  11B39 11J86
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### Even perfect numbers in generalized Pell sequences. (English)Zbl 1471.11048

MSC:  11B39 11A25 11J86
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### On the Diophantine pair $$\{a,3a\}$$. (English)Zbl 1475.11045

MSC:  11D09 11J86
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### Lucas numbers which are concatenations of three repdigits. (English)Zbl 07362279

MSC:  11B39 11J86 11D61
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### Padovan numbers which are palindromic concatenations of two distinct repdigits. (English)Zbl 1468.11049

MSC:  11B39 11D61 11J86
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### Common values of generalized Fibonacci and Pell sequences. (English)Zbl 1471.11049

MSC:  11B39 11J86
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### Lucas numbers which are concatenations of two repdigits. (English)Zbl 1481.11021

MSC:  11B39 11J86 11D61
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### Fibonacci numbers which are concatenations of two repdigits. (English)Zbl 1472.11067

MSC:  11B39 11A25 11J86
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### An exponential Diophantine equation related to powers of three consecutive Fibonacci numbers. (English)Zbl 07340048

MSC:  11D61 11B39 11J86
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### $$k$$-Fibonacci powers as sums of powers of some fixed primes. (English)Zbl 07335302

MSC:  11B39 11D61 11J86
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### Two $$b$$-repunits in the Fibonacci sequence. (English)Zbl 1468.11054

MSC:  11B39 11D61 11J86
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### Uniqueness of solutions to simultaneous Pell equations. (English)Zbl 1470.11049

MSC:  11D09 11B37 11J68
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### Fibonacci numbers in generalized Pell sequences. (English)Zbl 07439827

MSC:  11B39 11J86
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### Linear combinations of prime powers in $$X$$-coordinates of Pell equations. (English)Zbl 07343717

MSC:  11B39 11D45 11J86
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### On the zero-multiplicity of the $$k$$-generalized Fibonacci sequence. (English)Zbl 1464.11024

MSC:  11B39 11D61 11J86
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### On the $$x$$-coordinates of Pell equations that are products of two Padovan numbers. (English)Zbl 1465.11057

MSC:  11B39 11D41
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### On multiplicative bases of finite sets. (English)Zbl 1465.11048

MSC:  11B13 11N25 11C08
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### On $$X$$-coordinates of Pell equations which are repdigits. (English)Zbl 1470.11026

MSC:  11B39 11J86
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### On the equation $$(2^k-1)(3^l-1)=5^m-1$$. (English)Zbl 1472.11106

MSC:  11D61 11J86 11Y50
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### Fibonacci numbers which are products of three Pell numbers and Pell numbers which are products of three Fibonacci numbers. (English)Zbl 07270781

MSC:  11B39 11J86
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### Powers of two as sums of three Lucas numbers. (English)Zbl 1477.11033

MSC:  11B39 11J86
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### Repdigits in Narayana’s cows sequence and their consequences. (English)Zbl 1477.11031

MSC:  11B39 11J86
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### Resolution of the equation $$(3^{x_{1}}-1)(3^{x_{2}}-1)=(5^{y_{1}}-1)(5^{y_{2}}-1)$$. (English)Zbl 1480.11041

MSC:  11D61 11J86
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### Fermat Padovan and Perrin numbers. (English)Zbl 1446.11027

MSC:  11B39 11A51 11J86
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### On a problem of Pillai with Fibonacci numbers and powers of 3. (English)Zbl 1464.11023

MSC:  11B39 11J86
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### Repdigits as products of two Fibonacci or Lucas numbers. (English)Zbl 1440.11016

MSC:  11B39 11D61 11J86
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### Zeckendorf representations with at most two terms to $$x$$-coordinates of Pell equations. (English)Zbl 1455.11031

MSC:  11B39 11D61 11J86
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### An infinite two-parameter family of Diophantine triples. (English)Zbl 1452.11031

MSC:  11D09 11B37 11J86
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### Diophantine pairs that induce certain Diophantine triples. (English)Zbl 1475.11046

MSC:  11D09 11B37 11J86
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### On the $$x$$-coordinates of Pell equations which are $$k$$-generalized Fibonacci numbers. (English)Zbl 1447.11025

MSC:  11B39 11D09 11J86
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### Fibonacci and Lucas numbers as products of two repdigits. (English)Zbl 1447.11026

MSC:  11B39 11J86 11D61
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### Some family of Diophantine pairs with Fibonacci numbers. (English)Zbl 1456.11032

MSC:  11D09 11D25 11B39
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### Lucas numbers as sums of two repdigits. (English)Zbl 1427.11013

MSC:  11B39 11J86 11A25
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### Repdigits as sums of two Fibonacci numbers and two Lucas numbers. (English)Zbl 1467.11009

MSC:  11A63 11B39
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### On solutions of the Diophantine equation $$F_n-F_m=3^a$$. (English)Zbl 1422.11024

MSC:  11B39 11J86 11D61
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### On the exponential Diophantine equation $$P_n^x+P_{n+1}^x=P_m$$. (English)Zbl 1455.11056

MSC:  11D61 11B39 11J86
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### Nonnegative integer solutions of the equation $$F_{n}-F_{m}=5^{a}$$. (English)Zbl 1455.11054

MSC:  11D61 11B39 11J86
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### Repdigits as sums of four Pell numbers. (English)Zbl 1455.11019

MSC:  11A63 11B39 11J86
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### Prime powers in sums of terms of binary recurrence sequences. (English)Zbl 1447.11030

MSC:  11B39 11D45 11J86
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### On the $$x$$-coordinates of Pell equations which are products of two Fibonacci numbers. (English)Zbl 1420.11061

MSC:  11D09 11B39 11J86
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### On the intersection of $$k$$-Fibonacci and Pell numbers. (English)Zbl 1437.11024

MSC:  11B39 11J86
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### On the sum of squares of consecutive $$k$$-bonacci numbers which are $$l$$-bonacci numbers. (English)Zbl 1452.11021

MSC:  11B39 11J86 11D99
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### On the zero-multiplicity of a fifth-order linear recurrence. (English)Zbl 1450.11009

MSC:  11B39 11J86
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### Repdigits as sums of two Padovan numbers. (English)Zbl 1423.11127

MSC:  11J86 11D61 11D45
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### Nonexistence of $$D(4)$$-quintuples. (English)Zbl 1434.11077

MSC:  11D09 11D45 11J86
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### Repdigits as sums of four Fibonacci or Lucas numbers. (English)Zbl 1453.11006

MSC:  11A25 11B39 11J86
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### On the $$x$$-coordinates of Pell equations which are Fibonacci numbers. (English)Zbl 1416.11027

MSC:  11B39 11D09
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### Powers of two as sums of three Pell numbers. (English)Zbl 1433.11032

MSC:  11D45 11B39 11A25
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### Linear combinations of prime powers in sums of terms of binary recurrence sequences. (English)Zbl 1420.11031

MSC:  11B37 11D72 11J86
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