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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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Title
No Primes of Form a^2+3b^2 and 3k-1
No solution to phi(n)=7
No Twin Primes of Form 8p+1, 8p+1
Number of Divisors of a Square Fre Number
Numbers Less Than 100 With Eight Divisors
Numbers Using All Digits 1 to 7 Cannot Divide Each Other
Numbers Which Are Both Squares and Cubes Must be of Form 7k, 7k+1
Order of a+1 When a has order 4 Modulo p
Order of an Integer for a Composite Modulus
Pell's Equation Example

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