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Apr 12 at 6:08 comment converted from answer Anant vinayak Tiwari Yes this is possible atleast for even numbers
Nov 14, 2023 at 17:18 comment added GH from MO See also my comment below the response of gnasher729.
Nov 14, 2023 at 15:15 answer added gnasher729 timeline score: 1
Nov 9, 2023 at 21:06 comment added GH from MO @TimothyChow Yes. Hua showed the 5 prime square result under this congruence condition. Sorry for being sloppy.
Nov 9, 2023 at 19:30 comment added Timothy Chow @GHfromMO There's some congruence condition, isn't there? Hua's result (Some results in the additive prime-number theory) is that every sufficiently large integer $n\equiv 5 \pmod{24}$ is the sum of five squares of primes.
Nov 9, 2023 at 17:44 vote accept Sayan Dutta
Nov 9, 2023 at 14:49 comment added GH from MO @F2Andy The point is that $k$ is independent of $n$. For example, it is known that every sufficiently large $n$ is a sum of $5$ prime squares.
Nov 9, 2023 at 13:32 comment added F2Andy Can you use a prime more than once? I guess not, given the equation provided, and if you can it is trivially easy just using 1. And in that case the answer is no because it does not work for n = 2, 3, 6, 7, 8. I guess I am missing something here - I am not a mathematician - and I would be curious to know what.
Nov 9, 2023 at 1:48 history became hot network question
Nov 8, 2023 at 18:08 history edited Sam Hopkins CC BY-SA 4.0
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Nov 8, 2023 at 18:00 history edited GH from MO
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Nov 8, 2023 at 17:59 answer added GH from MO timeline score: 19
Nov 8, 2023 at 17:48 history asked Sayan Dutta CC BY-SA 4.0