# 2843

This number is a prime.

The difference of the numbers formed by the descending concatenation of the prime digits and the ascending concatenation of the composite digits: 7532-4689. [Silva]

2843^5 = 2731^5 + 1933^5 + 1459^5 + 709^5 + 509^5 + 271^5 + 31^5, i.e., a prime fifth power written as a sum of seven prime fifth powers. Found by Jean-Charles Meyrignac. [Rivera]

The 413th prime number (2843) and the 413th square (170569) are the only nth prime and nth square that together contain the ten digits exactly once each. [Gaydos]

(There is one curio for this number that has not yet been approved by an editor.)

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