▲ | AnotherGoodName 5 days ago | |||||||
Those are just columns that happen to share factors with 546 and happen to line up together. 546 is a very composite number (lots of factors!) 546n + 242 is always even 546n + 243 is always divisible by 3 546n + 244 is always even 546n + 255 is always divisible by 7. Etc. It's similar to how in base 10 you never see a prime ending in 0,2,4,6,8 or 5 since those numbers are clearly divisible by 2 or 5. In 546's case you have a lot of factors so even more gaps. You also get the pattern appearing again since the number is even and the non-even factors repeat their pattern starting from the halfway point. | ||||||||
▲ | mfoc 5 days ago | parent [-] | |||||||
That makes perfect sense. Thank you. To finish it off (skipping even numbers)... 546n + 247 is always divisible by 13. 546n + 249 is always divisible by 3. | ||||||||
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