Consider a Hilbert space H with an orthonormal basis of states | p ⟩ ⟩ labelled by the prime numbers p. Second quantization gives a new Hilbert space K, the bosonic Fock space on H, where states describe collections of primes - which we can call primons if we think of them as analogous to particles in quantum field theory. This Fock space has an orthonormal basis given by finite multisets of primes. In other words, to specify one of these basis elements we can list the number k p = 0 , 1 , 2 , … … of primons for each prime p :