these days a lot of equipment ships with unique random passwords
True, but more often than not it's derived from the MAC address (probably programmatically on boot with a defaulted config so they don't have to program each device in the factory) which is an absolutely horrible idea for WiFi enabled devices. If a (l)user sees an apparently random string of hex, conveniently also printed onto a sticker on the box so they don't have to remember it, it's a pretty safe bet that they are going to think it's secure and, quite possibly, not something they should change because that sticker looks important. Not a major problem for someone connecting over the Internet (although if they can ID the device make/model, they've got the OID and hugely reduced the brute force effort), but a serious issue if someone happens to be coming in over your WiFi and can connect directly.
ALWAYS change your default password, and the username too, if it'll let you.
In order to determine with this sieve all primes between 1 and 100, for example, one has to write down the list of numbers in numerical order and start crossing them out in a certain order: first, the multiples of 2 (except the 2); then, the multiples of 3, except the 3; and so on, starting by the next number that had not been crossed out. The numbers that survive this procedure will be the primes. The method can be formulated as an algorithm.
But now, Helfgott has found a method to drastically reduce the amount of RAM required to run the algorithm:
Helfgott was able to modify the sieve of Eratosthenes to work with less physical memory space. In mathematical terms: instead of needing a space N, now it is enough to have the cube root of N.
So what will be the impact of this? Will we see cheaper, lower-power encryption devices? Or maybe quicker cracking times in brute force attacks?
Excellent point and well made. People who are coming out saying the drone operators are perfectly fine obviously haven't though more than six inches in front of their face. Short-sighted idiots, they can't envision a situation because they refuse to think about it from the "how could a bad guy misuse this" perspective.
It is just kids having fun.
I wonder how you'd feel if someone parked a drone over your back yard with a camera watching your comings and goings, what time you went to bed and woke up, what kind of property you leave out, who visits your house and when, how many kids you have and what ages they are, and so forth. That's just the tip of the iceberg. Someone WILL eventually do that, most likely a LOT of someones, because there are some fucked up people in this world. A law that says it's perfectly alright for someone to fly a drone in close proximity to your home would enable this exact behavior.
And please don't go with the "so what, I have nothing to hide" defense. Even if you didn't mind a private citizen doing it, I'm willing to bet you'd be out of your mind upset if the government did it. If it's not good for one to be doing it, it's not good for either to be doing it.
It is surely a great calamity for a human being to have no obsessions. - Robert Bly