"Equations where composite numbers appear and equations where 1mod4 prime numbers appear"
Hello. It's tears.
A composite number is a product such as axb, and can be expressed as axb=cxc-dxd. A prime number never appears in cxc-dxd unless either a or b is 1. If you want to see the opposite number, there is a way to reverse the plus and minus numbers. Even if you change cxc-dxd to cxc+dxd, only some numbers that have not appeared before will appear, and all of Othello's white pieces will not become black. However, some of the swapped values cover 1mod4 prime numbers. Generally, when you divide an odd number by 4, the remainder is either 1 or 3. Included as part of cxc+dxd. However, on the contrary, 3mod4 does not appear at all. Since 1×1=1 and 3×3=9=1mod4, only 1+1=2mod4.1+0=1mod4,0+0=0mod4 will appear. No matter how much you calculate cxc+dxd, it is inevitable that 3mod4 will not appear. Now, axb+cxd (cxd in this case has nothing to do with cxc+dxd) produces a large number of prime numbers. For this, a, b, c, and d must be relatively prime. I hope everyone will look into this mutually prime factor. If you have the time and are interested, you won't be disappointed. Also, if I have a chance, I will write about each other.
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