Problem 50933. Find pairs of primes with the same digit sum
The activities in the paper “A New Function from a Table of Primes” involve listing sets of consecutive primes such that the first and last numbers in the set have the same digit sum. For example, if the set size is 7, the first set that qualifies is 5, 7, 11, 13, 17, 19, 23 because the digit sums of 5 and 23 are both 5.
Write a function that takes two numbers m and n as input and all sets of size m of primes less than n such that the first and last numbers in the set have the same digit sum. Return a two-column matrix with the first prime in the set in the first column and the last prime in the set in the second column. Sort the matrix with the first column in increasing order.
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