8623
This number is a prime.
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8623 is the largest 4-digit prime with this property: the
digit sum of this prime and the digit sums of the three
preceding primes make a set of four distinct primes. In
this case the four primes are 8597, 8599, 8609, 8623, with
digit sums 29, 31, 23, 19. [Keith]
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