No, this won't help with finding primes. As they noted, the pattern for ranges of size k only holds for k lines. So to find a prime of length N (on the order of 2^N), we need to have k=O(2^(N/2)). However, this yields a guarantee that a prime lies in a range of size O(2^(N/2)), which is not particularly useful. We get exponentially better probabilistic results from the prime number theorem.
I was initially thinking the same, but I don't think that's the case. This will help you find a small range of six potential primes (pick any element on the left edge of the triangle). But you're still required to calculate the factorizations on those six numbers to determine which of them are indeed prime.
The main reason that people get off their ass is to improve their life. People that have everything are constantly offered amazing opportunities just for existing. You may not have ever seen this because you don't fall in the category but it happens all the time.
This is an important point that I still struggle to find the right words for.
To benefit from luck, one must roll the dice in the first place. The more times you "roll the dice", the more shots you have at getting lucky, if nothing else.
Until we can change the perception that trade jobs are 'lower class' or unclean, we will continue to have vacancies.
I once remarked to a nephew who was thinking about what to do after high school that he should consider a trade. His parents overheard, and though they agreed it was good pay they didn't want their son doing that kind of work.
Upon reflection, I wouldn't want my son to do that kind of work as well, as it's usually hard work and not looked upon favorably.
If so this could be a huge blow to security.
But I must say this is amazing that they were able to visualize prime numbers in this way. These guys are geniuses.