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Latest Number Theory Notes
Every Positive Integer Van Be Written as the Sum of Three Triangular Numbers
Three Smallest Integers Greater Than 1000 Which Cannot Be Written as the Sum of Three Squares
For p=4k+1 Prime, Writing 2p Uniquely as Sum of Two Squares
If Two Numbers are Expressible as Sums of Two Squares and One Divides the Other, Is the Result Also Expressible As a Sum of Two Squares?
Writing a Product as a Sum of Two Squares
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Number Theory
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Proof That Numbers are Equivalent mod n if and only if The Have the Same Remainder on Division by n
Proof That Numbers of the Form 4k+3 are Divisible by a Prime of This Form
Proof that p Divides the Repunit R_p
Proof That Solutions of Polynomial Congruence are Well Defined
Proof That the Order of a^k Equals the Greatest Common Divisor or Irder of a and k
Proof That There are Infinitely Many Primes of the Form 4k+3
Proof That Two Numbers Divided by Their Greatest Common Divisor are Relatively Prime
Proof That We Can Write the Greatest Common Divisor iof Two Numbers as a Linear Combination of Those Numbers
Proof Thnat Order of an Integer Modulo p Divides p-1
Properties of Congruence
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