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Mar 1, 2023 at 20:51 comment added Sylvain JULIEN Also such matrices are elements of the modular group, so a connection with modular forms and possibly GRH for their L-function might be possible.
Mar 1, 2023 at 20:41 comment added Sylvain JULIEN I've been thinking for some time about a way to prove that 1) every large enough even integer which is the sum of one, two or four squares is the sum of two prime powers and 2) every large enough even integer which is the sum of two primes powers is the sum of two primes. Taking squares as entries of the matrix would entail their positivity.
Mar 1, 2023 at 20:22 comment added Pavel Gubkin @SylvainJULIEN, I guess Goldbach's conjecture can reformulated in terms of the existence of matrix $M$ with condition on the sum of its elements and the image of the vector $v_1$
Mar 1, 2023 at 17:14 comment added Sylvain JULIEN If $n$ denotes an even integer and $p$ a prime, can we relate this to Goldbach's conjecture?
Feb 28, 2023 at 14:03 history answered Pavel Gubkin CC BY-SA 4.0