SlideShare a Scribd company logo
1 of 27
Elementary
Number
Theory
Topics:
1) Basic definitions and concepts
2) Divisibilty and the division
algorithm theorem
3) The greatest common divisor
(GCD)
4) Least common multiple (LCM)
Department of
Mathematics
Mahatma Gandhi College,
Armori
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx
ELEMENTARY NUMBER THEORY.pptx

More Related Content

What's hot

Pre calculus math 40s - permutations & combinations - lesson 1
Pre calculus math 40s - permutations & combinations - lesson 1Pre calculus math 40s - permutations & combinations - lesson 1
Pre calculus math 40s - permutations & combinations - lesson 1ajagarla
 
Method of direct proof
Method of direct proofMethod of direct proof
Method of direct proofAbdur Rehman
 
CBSE Class XI Maths Linear inequalities
CBSE Class XI Maths Linear inequalitiesCBSE Class XI Maths Linear inequalities
CBSE Class XI Maths Linear inequalitiesPranav Ghildiyal
 
nature of the roots and discriminant
nature of the roots and discriminantnature of the roots and discriminant
nature of the roots and discriminantmaricel mas
 
Permutation and combination - Math Statistic
Permutation and combination - Math StatisticPermutation and combination - Math Statistic
Permutation and combination - Math StatisticPrincess is Ntxhais
 
Theorems invloving inequalities in a triangle
Theorems invloving inequalities in a triangleTheorems invloving inequalities in a triangle
Theorems invloving inequalities in a triangleElton John Embodo
 
Rank nullity theorem
Rank nullity theoremRank nullity theorem
Rank nullity theoremRoqui Gonzaga
 
Geometric progressions
Geometric progressionsGeometric progressions
Geometric progressionsDr. Nirav Vyas
 
Lesson 22: Optimization Problems (slides)
Lesson 22: Optimization Problems (slides)Lesson 22: Optimization Problems (slides)
Lesson 22: Optimization Problems (slides)Matthew Leingang
 
Applications of linear algebra
Applications of linear algebraApplications of linear algebra
Applications of linear algebraPrerak Trivedi
 
Further pure mathmatics 3 vectors
Further pure mathmatics 3 vectorsFurther pure mathmatics 3 vectors
Further pure mathmatics 3 vectorsDennis Almeida
 

What's hot (20)

ABSTRACT ALGEBRA
ABSTRACT ALGEBRAABSTRACT ALGEBRA
ABSTRACT ALGEBRA
 
Number theory
Number theoryNumber theory
Number theory
 
Pre calculus math 40s - permutations & combinations - lesson 1
Pre calculus math 40s - permutations & combinations - lesson 1Pre calculus math 40s - permutations & combinations - lesson 1
Pre calculus math 40s - permutations & combinations - lesson 1
 
Number theory lecture (part 1)
Number theory lecture (part 1)Number theory lecture (part 1)
Number theory lecture (part 1)
 
Method of direct proof
Method of direct proofMethod of direct proof
Method of direct proof
 
CBSE Class XI Maths Linear inequalities
CBSE Class XI Maths Linear inequalitiesCBSE Class XI Maths Linear inequalities
CBSE Class XI Maths Linear inequalities
 
Abstract algebra - Algebraic closed field, unit - 2 , M.Sc. l semester Maths
Abstract algebra -  Algebraic closed field, unit - 2 , M.Sc. l semester Maths Abstract algebra -  Algebraic closed field, unit - 2 , M.Sc. l semester Maths
Abstract algebra - Algebraic closed field, unit - 2 , M.Sc. l semester Maths
 
nature of the roots and discriminant
nature of the roots and discriminantnature of the roots and discriminant
nature of the roots and discriminant
 
Theory of Equation
Theory of EquationTheory of Equation
Theory of Equation
 
Isomorphism
IsomorphismIsomorphism
Isomorphism
 
Number theory
Number theoryNumber theory
Number theory
 
Permutation and combination - Math Statistic
Permutation and combination - Math StatisticPermutation and combination - Math Statistic
Permutation and combination - Math Statistic
 
Theorems invloving inequalities in a triangle
Theorems invloving inequalities in a triangleTheorems invloving inequalities in a triangle
Theorems invloving inequalities in a triangle
 
Rank nullity theorem
Rank nullity theoremRank nullity theorem
Rank nullity theorem
 
Geometric progressions
Geometric progressionsGeometric progressions
Geometric progressions
 
Lesson 22: Optimization Problems (slides)
Lesson 22: Optimization Problems (slides)Lesson 22: Optimization Problems (slides)
Lesson 22: Optimization Problems (slides)
 
Applications of linear algebra
Applications of linear algebraApplications of linear algebra
Applications of linear algebra
 
Sector circle
Sector circleSector circle
Sector circle
 
Group Theory
Group TheoryGroup Theory
Group Theory
 
Further pure mathmatics 3 vectors
Further pure mathmatics 3 vectorsFurther pure mathmatics 3 vectors
Further pure mathmatics 3 vectors
 

More from DEPARTMENT OF MATHEMATICS MGC ARMORI (11)

Career opportunities in Mathematics
Career opportunities in MathematicsCareer opportunities in Mathematics
Career opportunities in Mathematics
 
CONGRUENCES.pptx
CONGRUENCES.pptxCONGRUENCES.pptx
CONGRUENCES.pptx
 
prime numbers and fermat numbers.pptx
prime numbers and fermat numbers.pptxprime numbers and fermat numbers.pptx
prime numbers and fermat numbers.pptx
 
Homogeneous differential equations and wronskian theory.pptx
Homogeneous differential equations and wronskian theory.pptxHomogeneous differential equations and wronskian theory.pptx
Homogeneous differential equations and wronskian theory.pptx
 
HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS.pptx
HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS.pptxHIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS.pptx
HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS.pptx
 
FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS.pptx
FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS.pptxFIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS.pptx
FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS.pptx
 
Mathematics BSc Sem V, VI syllabus.pptx
Mathematics BSc Sem V, VI syllabus.pptxMathematics BSc Sem V, VI syllabus.pptx
Mathematics BSc Sem V, VI syllabus.pptx
 
MSc Sem I & II- Syllabus.pptx
MSc Sem I & II- Syllabus.pptxMSc Sem I & II- Syllabus.pptx
MSc Sem I & II- Syllabus.pptx
 
BSC Mathematics Sem III & IV syllabus.pptx
BSC Mathematics Sem III & IV syllabus.pptxBSC Mathematics Sem III & IV syllabus.pptx
BSC Mathematics Sem III & IV syllabus.pptx
 
BSC Mathematics Sem I and II syllabus.pptx
BSC Mathematics Sem I and II syllabus.pptxBSC Mathematics Sem I and II syllabus.pptx
BSC Mathematics Sem I and II syllabus.pptx
 
MSc Sem III and IV Syllabus.pptx
MSc Sem III and IV Syllabus.pptxMSc Sem III and IV Syllabus.pptx
MSc Sem III and IV Syllabus.pptx
 

Recently uploaded

Biogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune Waterworlds
Biogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune WaterworldsBiogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune Waterworlds
Biogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune WaterworldsSérgio Sacani
 
Forensic Biology & Its biological significance.pdf
Forensic Biology & Its biological significance.pdfForensic Biology & Its biological significance.pdf
Forensic Biology & Its biological significance.pdfrohankumarsinghrore1
 
Dubai Call Girls Beauty Face Teen O525547819 Call Girls Dubai Young
Dubai Call Girls Beauty Face Teen O525547819 Call Girls Dubai YoungDubai Call Girls Beauty Face Teen O525547819 Call Girls Dubai Young
Dubai Call Girls Beauty Face Teen O525547819 Call Girls Dubai Youngkajalvid75
 
Zoology 5th semester notes( Sumit_yadav).pdf
Zoology 5th semester notes( Sumit_yadav).pdfZoology 5th semester notes( Sumit_yadav).pdf
Zoology 5th semester notes( Sumit_yadav).pdfSumit Kumar yadav
 
Sector 62, Noida Call girls :8448380779 Model Escorts | 100% verified
Sector 62, Noida Call girls :8448380779 Model Escorts | 100% verifiedSector 62, Noida Call girls :8448380779 Model Escorts | 100% verified
Sector 62, Noida Call girls :8448380779 Model Escorts | 100% verifiedDelhi Call girls
 
module for grade 9 for distance learning
module for grade 9 for distance learningmodule for grade 9 for distance learning
module for grade 9 for distance learninglevieagacer
 
Bacterial Identification and Classifications
Bacterial Identification and ClassificationsBacterial Identification and Classifications
Bacterial Identification and ClassificationsAreesha Ahmad
 
FAIRSpectra - Enabling the FAIRification of Spectroscopy and Spectrometry
FAIRSpectra - Enabling the FAIRification of Spectroscopy and SpectrometryFAIRSpectra - Enabling the FAIRification of Spectroscopy and Spectrometry
FAIRSpectra - Enabling the FAIRification of Spectroscopy and SpectrometryAlex Henderson
 
Pulmonary drug delivery system M.pharm -2nd sem P'ceutics
Pulmonary drug delivery system M.pharm -2nd sem P'ceuticsPulmonary drug delivery system M.pharm -2nd sem P'ceutics
Pulmonary drug delivery system M.pharm -2nd sem P'ceuticssakshisoni2385
 
Locating and isolating a gene, FISH, GISH, Chromosome walking and jumping, te...
Locating and isolating a gene, FISH, GISH, Chromosome walking and jumping, te...Locating and isolating a gene, FISH, GISH, Chromosome walking and jumping, te...
Locating and isolating a gene, FISH, GISH, Chromosome walking and jumping, te...Silpa
 
Vip profile Call Girls In Lonavala 9748763073 For Genuine Sex Service At Just...
Vip profile Call Girls In Lonavala 9748763073 For Genuine Sex Service At Just...Vip profile Call Girls In Lonavala 9748763073 For Genuine Sex Service At Just...
Vip profile Call Girls In Lonavala 9748763073 For Genuine Sex Service At Just...Monika Rani
 
FAIRSpectra - Enabling the FAIRification of Analytical Science
FAIRSpectra - Enabling the FAIRification of Analytical ScienceFAIRSpectra - Enabling the FAIRification of Analytical Science
FAIRSpectra - Enabling the FAIRification of Analytical ScienceAlex Henderson
 
GBSN - Microbiology (Unit 3)
GBSN - Microbiology (Unit 3)GBSN - Microbiology (Unit 3)
GBSN - Microbiology (Unit 3)Areesha Ahmad
 
SAMASTIPUR CALL GIRL 7857803690 LOW PRICE ESCORT SERVICE
SAMASTIPUR CALL GIRL 7857803690  LOW PRICE  ESCORT SERVICESAMASTIPUR CALL GIRL 7857803690  LOW PRICE  ESCORT SERVICE
SAMASTIPUR CALL GIRL 7857803690 LOW PRICE ESCORT SERVICEayushi9330
 
High Profile 🔝 8250077686 📞 Call Girls Service in GTB Nagar🍑
High Profile 🔝 8250077686 📞 Call Girls Service in GTB Nagar🍑High Profile 🔝 8250077686 📞 Call Girls Service in GTB Nagar🍑
High Profile 🔝 8250077686 📞 Call Girls Service in GTB Nagar🍑Damini Dixit
 
The Mariana Trench remarkable geological features on Earth.pptx
The Mariana Trench remarkable geological features on Earth.pptxThe Mariana Trench remarkable geological features on Earth.pptx
The Mariana Trench remarkable geological features on Earth.pptxseri bangash
 
Proteomics: types, protein profiling steps etc.
Proteomics: types, protein profiling steps etc.Proteomics: types, protein profiling steps etc.
Proteomics: types, protein profiling steps etc.Silpa
 
9654467111 Call Girls In Raj Nagar Delhi Short 1500 Night 6000
9654467111 Call Girls In Raj Nagar Delhi Short 1500 Night 60009654467111 Call Girls In Raj Nagar Delhi Short 1500 Night 6000
9654467111 Call Girls In Raj Nagar Delhi Short 1500 Night 6000Sapana Sha
 
Call Girls Ahmedabad +917728919243 call me Independent Escort Service
Call Girls Ahmedabad +917728919243 call me Independent Escort ServiceCall Girls Ahmedabad +917728919243 call me Independent Escort Service
Call Girls Ahmedabad +917728919243 call me Independent Escort Serviceshivanisharma5244
 
Justdial Call Girls In Indirapuram, Ghaziabad, 8800357707 Escorts Service
Justdial Call Girls In Indirapuram, Ghaziabad, 8800357707 Escorts ServiceJustdial Call Girls In Indirapuram, Ghaziabad, 8800357707 Escorts Service
Justdial Call Girls In Indirapuram, Ghaziabad, 8800357707 Escorts Servicemonikaservice1
 

Recently uploaded (20)

Biogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune Waterworlds
Biogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune WaterworldsBiogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune Waterworlds
Biogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune Waterworlds
 
Forensic Biology & Its biological significance.pdf
Forensic Biology & Its biological significance.pdfForensic Biology & Its biological significance.pdf
Forensic Biology & Its biological significance.pdf
 
Dubai Call Girls Beauty Face Teen O525547819 Call Girls Dubai Young
Dubai Call Girls Beauty Face Teen O525547819 Call Girls Dubai YoungDubai Call Girls Beauty Face Teen O525547819 Call Girls Dubai Young
Dubai Call Girls Beauty Face Teen O525547819 Call Girls Dubai Young
 
Zoology 5th semester notes( Sumit_yadav).pdf
Zoology 5th semester notes( Sumit_yadav).pdfZoology 5th semester notes( Sumit_yadav).pdf
Zoology 5th semester notes( Sumit_yadav).pdf
 
Sector 62, Noida Call girls :8448380779 Model Escorts | 100% verified
Sector 62, Noida Call girls :8448380779 Model Escorts | 100% verifiedSector 62, Noida Call girls :8448380779 Model Escorts | 100% verified
Sector 62, Noida Call girls :8448380779 Model Escorts | 100% verified
 
module for grade 9 for distance learning
module for grade 9 for distance learningmodule for grade 9 for distance learning
module for grade 9 for distance learning
 
Bacterial Identification and Classifications
Bacterial Identification and ClassificationsBacterial Identification and Classifications
Bacterial Identification and Classifications
 
FAIRSpectra - Enabling the FAIRification of Spectroscopy and Spectrometry
FAIRSpectra - Enabling the FAIRification of Spectroscopy and SpectrometryFAIRSpectra - Enabling the FAIRification of Spectroscopy and Spectrometry
FAIRSpectra - Enabling the FAIRification of Spectroscopy and Spectrometry
 
Pulmonary drug delivery system M.pharm -2nd sem P'ceutics
Pulmonary drug delivery system M.pharm -2nd sem P'ceuticsPulmonary drug delivery system M.pharm -2nd sem P'ceutics
Pulmonary drug delivery system M.pharm -2nd sem P'ceutics
 
Locating and isolating a gene, FISH, GISH, Chromosome walking and jumping, te...
Locating and isolating a gene, FISH, GISH, Chromosome walking and jumping, te...Locating and isolating a gene, FISH, GISH, Chromosome walking and jumping, te...
Locating and isolating a gene, FISH, GISH, Chromosome walking and jumping, te...
 
Vip profile Call Girls In Lonavala 9748763073 For Genuine Sex Service At Just...
Vip profile Call Girls In Lonavala 9748763073 For Genuine Sex Service At Just...Vip profile Call Girls In Lonavala 9748763073 For Genuine Sex Service At Just...
Vip profile Call Girls In Lonavala 9748763073 For Genuine Sex Service At Just...
 
FAIRSpectra - Enabling the FAIRification of Analytical Science
FAIRSpectra - Enabling the FAIRification of Analytical ScienceFAIRSpectra - Enabling the FAIRification of Analytical Science
FAIRSpectra - Enabling the FAIRification of Analytical Science
 
GBSN - Microbiology (Unit 3)
GBSN - Microbiology (Unit 3)GBSN - Microbiology (Unit 3)
GBSN - Microbiology (Unit 3)
 
SAMASTIPUR CALL GIRL 7857803690 LOW PRICE ESCORT SERVICE
SAMASTIPUR CALL GIRL 7857803690  LOW PRICE  ESCORT SERVICESAMASTIPUR CALL GIRL 7857803690  LOW PRICE  ESCORT SERVICE
SAMASTIPUR CALL GIRL 7857803690 LOW PRICE ESCORT SERVICE
 
High Profile 🔝 8250077686 📞 Call Girls Service in GTB Nagar🍑
High Profile 🔝 8250077686 📞 Call Girls Service in GTB Nagar🍑High Profile 🔝 8250077686 📞 Call Girls Service in GTB Nagar🍑
High Profile 🔝 8250077686 📞 Call Girls Service in GTB Nagar🍑
 
The Mariana Trench remarkable geological features on Earth.pptx
The Mariana Trench remarkable geological features on Earth.pptxThe Mariana Trench remarkable geological features on Earth.pptx
The Mariana Trench remarkable geological features on Earth.pptx
 
Proteomics: types, protein profiling steps etc.
Proteomics: types, protein profiling steps etc.Proteomics: types, protein profiling steps etc.
Proteomics: types, protein profiling steps etc.
 
9654467111 Call Girls In Raj Nagar Delhi Short 1500 Night 6000
9654467111 Call Girls In Raj Nagar Delhi Short 1500 Night 60009654467111 Call Girls In Raj Nagar Delhi Short 1500 Night 6000
9654467111 Call Girls In Raj Nagar Delhi Short 1500 Night 6000
 
Call Girls Ahmedabad +917728919243 call me Independent Escort Service
Call Girls Ahmedabad +917728919243 call me Independent Escort ServiceCall Girls Ahmedabad +917728919243 call me Independent Escort Service
Call Girls Ahmedabad +917728919243 call me Independent Escort Service
 
Justdial Call Girls In Indirapuram, Ghaziabad, 8800357707 Escorts Service
Justdial Call Girls In Indirapuram, Ghaziabad, 8800357707 Escorts ServiceJustdial Call Girls In Indirapuram, Ghaziabad, 8800357707 Escorts Service
Justdial Call Girls In Indirapuram, Ghaziabad, 8800357707 Escorts Service
 

ELEMENTARY NUMBER THEORY.pptx