Ah, Peter, lovely story. By chance, we visited Bletchley Park on the
day that the Brits returned--with great ceremony--an Enigma machine to
the Poles, the people who'd first supplied the Brits with one. (We
ourselves have two.)
However, my sense is that pure mathematicians look down a tad
Prime Theory -- not to be Mocked, or Knocked! My tutor in grad school math at
Cambridge was one Shaun Wylie, dead now; a famoso number expert. He was a
supervisor at Bletchley where a chappie called Turing worked for him. They
broke ENIGMA, that may have won the war -- certainly