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MathCrypT @MathCrypt21
Joined February 2026
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What exactly is Zn? It’s not just numbers… It’s a partition of integers into equivalence classes. #Mathematics #NumberThoery #Maths #ProblemSolving #Education #Maths #Sets
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Construction of the symmetry group D3. All rotations and reflections of an equilateral triangle in one picture. #Mathematics #AbstractAlgebra #GroupTheory #Geometry
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What’s the remainder? #Mathematics #NumberTheory #MathEducation #Logic #Maths
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(5-1)! = 4•3•2•1 = -1 (mod 5) 4! = -1 (mod 5)
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(4!)⁶⁰ = (-1)⁶⁰ = 1 (mod 5)
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What is S? #Mathematics #Numbers #Maths #Cryptography #NumberTheory #PerfectNumbers #Cryptology #NetworkSecurity
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So gcd(x,0) exists for every integer Even when x=0 gcd(0,0)=0
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Thus every integer satisfies the condition. S=Z
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what is ∣S∣ ? #Mathematics #NumberTheory #Algebra #MathEducation #Cryptology #Cryptography #maths
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Thus x=±1 So S={−1,1} and ∣S∣=2
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So gcd(x,0)=1 implies. ∣x∣=1
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Recall the property: gcd(a,0)=∣a∣
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Quick number theory question: Does 2x 3y=1 have an integer solution? #Mathematics #NumberTheory #MathEducation #ProblemSolving #HigherEducation #Maths #Cryptology #Cryptography
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How many integer solutions of this equation exist?
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Here gcd(2,3) = 1 which divides Solution exits.. x=-1 and y=1 will Satisfy this equation
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For integer solution, Equation ax by = c has a solution iff gcd(a,b) | c
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Simple Diophantine question. Does 4x 12y = 10 have an integer solution? Think before answering. #Mathematics #NumberTheory #Maths
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New question in next post...
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gcd(4,12) = 4 Since 4 does not divide 10, there is no integer solution.
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