#number-theory

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#mathematics #pythagorean-triples #consecutive-integers #diophantine-equations #perfect-numbers
frombigthink.com
2 weeks ago

The deep mathematics of why 10 + 11 + 12 = 13 + 14

One of the first theorems anyone learns in mathematics is the Pythagorean Theorem: if you have a right triangle, then the square of the longest side (the hypotenuse) will always equal the sums of the squares of the other two sides. The first integer combination that this works for is a triangle with sides 3, 4, and 5: 3 + 4 = 5.
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fromRaymondcamden
3 weeks ago

Recognizing Abundant, Deficient, and Perfect Numbers

Classify integers as deficient, perfect, or abundant by summing proper divisors and comparing to the number (e.g., 6 perfect, 5 deficient, 12 abundant).
Science
fromWIRED
2 months ago

A 'Grand Unified Theory' of Math Just Got a Little Bit Closer

Recent findings in modularity open new pathways to solving longstanding mathematical problems.
OMG science
fromwww.scientificamerican.com
3 months ago

Mathematicians Come Up with Mind-Blowing' Method for Defining Prime Numbers

The search for prime numbers continues as mathematicians uncover new patterns and criteria for identifying them, reflecting their complexity.
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