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2. Pythagorean triple - Wikipedia

   en.wikipedia.org/wiki/Pythagorean_triple

   Animation demonstrating the smallest Pythagorean triple, 3 2 + 4 2 = 5 2. A Pythagorean triple consists of three positive integers a, b, and c, such that a 2 + b 2 = c 2. Such a triple is commonly written (a, b, c), a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.

3. Prime triplet - Wikipedia

   en.wikipedia.org/wiki/Prime_triplet

   A prime can be a member of up to three prime triplets - for example, 103 is a member of (97, 101, 103), (101, 103, 107) and (103, 107, 109).When this happens, the five involved primes form a prime quintuplet.

4. Tree of primitive Pythagorean triples - Wikipedia

   en.wikipedia.org/wiki/Tree_of_primitive...

   [6]: p.7 For example, parent (3, 4, 5) has excircle radii equal to 2, 3 and 6. These are precisely the inradii of the three children (5, 12, 13), (15, 8, 17) and (21, 20, 29) respectively. If either of A or C is applied repeatedly from any Pythagorean triple used as an initial condition, then the dynamics of any of a , b , and c can be ...

5. Formulas for generating Pythagorean triples - Wikipedia

   en.wikipedia.org/wiki/Formulas_for_generating...

   Michael Stifel published the following method in 1544. [3] [4] Consider the sequence of mixed numbers,,,, … with = + +.To calculate a Pythagorean triple, take any term of this sequence and convert it to an improper fraction (for mixed number , the corresponding improper fraction is ).

6. California man Alexander Paffendorf apologizes for connection ...

   www.aol.com/california-man-alexander-paffendorf...

   Alexander Paffendorf expressed regret for his involvement when a judge offered a chance for final words before keeping an order to confiscate his guns and ammunition in place until April 4.

7. 49ers suspend De'Vondre Campbell for refusing to enter game ...

   www.aol.com/report-49ers-suspend-devondre...

   The San Francisco 49ers on Monday suspended linebacker De'Vondre Campbell for the final three games of the regular season for refusing to play Thursday night against the Los Angeles Rams.. Niners ...