Their work revives long-standing mathematical curiosities but does so through a fresh window – additive combinatorics.

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For example, 11 is a prime number since 11 dots form only rectangular arrays of sizes 1 by 11 and 11 by 1. Conversely, 12 is not prime since you can use 12 dots to make an array of 3 by 4 dots, ...

They realized they could solve a slightly weaker version of their problem—one where the numbers getting squared only had to be “roughly” prime. Rough primes are much easier to find than primes.