We describe the computation of all partition numbers p(n) for n <=
10^6 which are probable primes. We also give some probable prime
values in the range n = 1,800,000 and in particular, the number
p(1840926) is a 1505-digit prime the primality of which was
established using ECPP. This number is the largest number tested
by a general purpose primality proving algorithm so far.