Date is another possibility, e.g., "We'll find the next prime in 2023."
Also, bear in mind that we're currently in the middle of a long double check of prior work, with much lower chances of finding a prime. While the numbers themselves are smaller (which increases chances), since the numbers have already been checked once, our chance of finding a prime is approximately 30 times lower than it normally would be.
Even without the double check, there were nine years between the discoveries of the last 2 primes. The gap between the 2 largest primes is pretty large: n=13M and n=31M.
My lucky number is 75898524288+1