58 ms·
> To me it seem like he either applied an erroneous method or, more likely in my opinion, just had erroneous naive checking Of course the method was erroneous,
by Ansil849 5y ago
> To me it seem like he either applied an erroneous method or, more likely in my opinion, just had erroneous naive checking
Of course the method was erroneous, that's not the point I am (apparently rather poorly) trying to get across. My point is that the method seems to have been lost to time, and that it is a shame because while faulty for finding primes it may prove fruitful elsewhere, or may simply be interesting. And if he had a method of checking for primes in the 17th century, this would also be noteworthy and interesting, though it would beg the question of why he stopped presumably before reaching a thousand.
My base observation is relatively straightforward and I honestly don't understand the dismissiveness it is met with:
Sometime in the early 1600s, Mersenne found M(127). The 'how' is interesting to me because I don't see it likely that this was discovered by random luck, but predicated on a novel method he had developed which, while clearly very flawed, would nonetheless still curious to see. Our math and science textbooks are filled with various flawed methods, why then is this one of seeming no concern?
- zamadatix 5y agoMersenne didn't "find" M(127) by using a method, he noted 2^n-1 was commonly prime for the first few well known values and wasn't able to immediately exclude M(127). That's the difference, not discovery by proof with some method rather lack of exclusion by method. Were the exclusions more reliable it'd be interesting but neither being able to exclude or include accurately is not. The exact method doesn't matter because poorly performed naive division checking with the first couple thousand primes gets you a more accurate list of primes so whatever he was doing isn't particularly interesting (and could have been as simple as something like that that, we just can't say how he messed up for certain without a time machine).