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Mersenne numbers which are products of two Pell numbers

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dc.contributor.authorAlan, Murat
dc.contributor.authorAlan, Kadriye Simsek
dc.date.accessioned2026-06-27T14:43:51Z
dc.date.issued2022
dc.description.abstractLet (P-n)(n >= 0) be the Pell sequence defined by P-0 = 0, P-1 = 1 and Pn+2 2P(n+1) + P-n for n >= 0 and M-k + 2(k) - 1 be the k-th Mersenne number for k >= 1: We show that the Diophantine equation PnPm + M-k with m <= n has only the unique positive integer solution (n, m, k) + (1; 1; 1).en
dc.description.sponsorshipYildiz Technical University Scientific Research Projects Coordination Unit [4356]
dc.description.urihttps://doi.org/10.1007/s40590-022-00430-x
dc.identifier.doi10.1007/s40590-022-00430-x
dc.identifier.eissn2296-4495
dc.identifier.issn1405-213X
dc.identifier.issue2
dc.identifier.urihttps://hdl.handle.net/20.500.14981/64049
dc.identifier.volume28
dc.identifier.wos000788298100001
dc.language.isoeng
dc.publisherSPRINGER INT PUBL AG
dc.relation.ispartofBOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
dc.subjectPell numbers
dc.subjectMersenne numbers
dc.subjectDiophantine equations
dc.subjectLinear forms in logarithms
dc.subjectFIBONACCI NUMBERS
dc.subjectEQUATIONS
dc.subjectSUMS
dc.subjectREPDIGITS
dc.subjectPOWERS
dc.subjectMathematics
dc.titleMersenne numbers which are products of two Pell numbers
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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