ABC096D
D - Five, Five Everywhere
https://gyazo.com/e4a86f67947bdeacf40467275b5a5827
Thoughts.
What do we do with the condition that any five different additions are a composite number?
From the condition of being distinct primes, when 2 is included, the sum is even, so the composite number
In other words, we can consider the condition that the composite number is obtained by adding five odd prime numbers that are different from each other
For example, if all of them are "divided by 5 and less than 1", then any of them can be chosen and added together to make a multiple of 5.
If there are 55 prime numbers divided by 5 and less than 1 by 55555, it is OK.
Official Explanation OK
---
This page is auto-translated from /nishio/ABC096D using DeepL. If you looks something interesting but the auto-translated English is not good enough to understand it, feel free to let me know at @nishio_en. I'm very happy to spread my thought to non-Japanese readers.