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This is a neat little paper regarding the number 3435. Basically it has the following property:
3435 = 3^3 + 4^4 + 3^3 + 5^5
More interesting is that the only other number with this ‘property’ is the number 1. The property is what he calls a “Munchausen Number“. The preprint was written by Daan van Berkel and can be found on the arxiv.