The Deranged Mathematician: The Friedlander-Iwaniec…
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The Deranged Mathematician: The Friedlander-Iwaniec Theorem
In past posts, I proved and talked about some very classical results in number theory: that all primes that are 1 mod 4 are sums of squares; that there are infinitely many primes that are 1 mod 4, and so on. I wanted to write about something much more modern, but still recognizably in this same vein. Hence, the Friedlander-Iwaniec theorem: there are infinitely many primes that are the sum of a square and a 4th power.
This is a result simple enough that you could explain it to a middle schooler, and yet the proof is an entirely different league from the proofs mentioned above---it is almost 100 pages long, for a start! While I don't go into the proof (although I do show where you can find it for free, if you are interested), I do talk about its history and broader context, to give a sense of why it was such a big deal.
Read the full post (for free) on Substack: The Friedlander-Iwaniec Theorem https://open.substack.com/pub/derangedmathematician/p/the-friedlander-iwaniec-theorem?r=74r0nc&utm_campaign=post-expanded-share&utm_medium=web
#science
In past posts, I proved and talked about some very classical results in number theory: that all primes that are 1 mod 4 are sums of squares; that there are infinitely many primes that are 1 mod 4, and so on. I wanted to write about something much more modern, but still recognizably in this same vein. Hence, the Friedlander-Iwaniec theorem: there are infinitely many primes that are the sum of a square and a 4th power.
This is a result simple enough that you could explain it to a middle schooler, and yet the proof is an entirely different league from the proofs mentioned above---it is almost 100 pages long, for a start! While I don't go into the proof (although I do show where you can find it for free, if you are interested), I do talk about its history and broader context, to give a sense of why it was such a big deal.
Read the full post (for free) on Substack: The Friedlander-Iwaniec Theorem https://open.substack.com/pub/derangedmathematician/p/the-friedlander-iwaniec-theorem?r=74r0nc&utm_campaign=post-expanded-share&utm_medium=web
#science
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