OT: Cool math fact, about prime numbers.

[LionJim]

#subjectlinesmatter

Euclid proved that if S is any finite set of prime numbers then there is some prime number p which is not contained in S. Ergo, there are infinitely many primes. Nice proof, easy to understand.

Now:
8, 9, 10 are three consecutive non-primes.

32, 33, 34, 35, 36 are five consecutive non-primes.

212, 213, 214, 215, 216, 217, 218 are seven consecutive non-primes.

It’s an easy algorithm. To illustrate by using the last example, multiply 2, 3, 5, and 7 together to get 210 and then add 2, 3, 4, 5, 6, 7, 8 in succession to 210. 212 is divisible by 2, 213 by 3, 214 by 2, 215 by 5, 216 by 2, 217 by 7, 218 by 2. So, all non-primes.

So if you take any prime p, you can find a run of p consecutive non-primes. Since there are infinitely many primes, if X is the number of seconds from the Big Bang (13 billion years ago) to the moment I post this, you can find a run of X consecutive non-primes. Every second since the Big Bang, start with a non-prime the next number is itself a non prime. And there are infinitely many primes coming up afterwards. That blows my mind. Infinity is big.

YMMV. Thanks for indulging me. Now, off to the gym!

 

[laKavosiey-st lion]

FFS wut damm

 

[Tgar]

FFS wut damm

some of us stumble through the cosmos, some of us understand maths. Tgar is a stumbler.

 

[Catch1lion]

Take it to the math board. This is the only Prime we want to talk about.

 

[op2]

#subjectlinesmatter

Euclid proved that if S is any finite set of prime numbers then there is some prime number p which is not contained in S. Ergo, there are infinitely many primes. Nice proof, easy to understand.

Now:
8, 9, 10 are three consecutive non-primes.

32, 33, 34, 35, 36 are five consecutive non-primes.

212, 213, 214, 215, 216, 217, 218 are seven consecutive non-primes.

It’s an easy algorithm. To illustrate by using the last example, multiply 2, 3, 5, and 7 together to get 210 and then add 2, 3, 4, 5, 6, 7, 8 in succession to 210. 212 is divisible by 2, 213 by 3, 214 by 2, 215 by 5, 216 by 2, 217 by 7, 218 by 2. So, all non-primes.

So if you take any prime p, you can find a run of p consecutive non-primes. Since there are infinitely many primes, if X is the number of seconds from the Big Bang (13 billion years ago) to the moment I post this, you can find a run of X consecutive non-primes. Every second since the Big Bang, start with a non-prime the next number is itself a non prime. And there are infinitely many primes coming up afterwards. That blows my mind. Infinity is big.

YMMV. Thanks for indulging me. Now, off to the gym!

What's your Erdos Number?

 

[Midnighter]

#subjectlinesmatter

Euclid proved that if S is any finite set of prime numbers then there is some prime number p which is not contained in S. Ergo, there are infinitely many primes. Nice proof, easy to understand.

Now:
8, 9, 10 are three consecutive non-primes.

32, 33, 34, 35, 36 are five consecutive non-primes.

212, 213, 214, 215, 216, 217, 218 are seven consecutive non-primes.

It’s an easy algorithm. To illustrate by using the last example, multiply 2, 3, 5, and 7 together to get 210 and then add 2, 3, 4, 5, 6, 7, 8 in succession to 210. 212 is divisible by 2, 213 by 3, 214 by 2, 215 by 5, 216 by 2, 217 by 7, 218 by 2. So, all non-primes.

So if you take any prime p, you can find a run of p consecutive non-primes. Since there are infinitely many primes, if X is the number of seconds from the Big Bang (13 billion years ago) to the moment I post this, you can find a run of X consecutive non-primes. Every second since the Big Bang, start with a non-prime the next number is itself a non prime. And there are infinitely many primes coming up afterwards. That blows my mind. Infinity is big.

YMMV. Thanks for indulging me. Now, off to the gym!

I love the passion here but what makes this exciting? Genuinely curious. Is it to suggest how big infinity is? I recall one day in class my teacher said ‘how much space is there in an inch?’, and then went on to explain to you cut an inch into an infinite number of halves. That was when I realized I have no need for theoretical math concepts. I need a practical application.

 

[laKavosiey-st lion]

I love the passion here but what makes this exciting? Genuinely curious. Is it to suggest how big infinity is? I recall one day in class my teacher said ‘how much space is there in an inch?’, and then went on to explain to you cut an inch into an infinite number of halves. That was when I realized I have no need for theoretical math concepts. I need a practical application.

For example 500 wheel horsepower before tune

 

[Midnighter]

For example 500 wheel horsepower before tune

Not helpful.

 

[OKLALionsFan]

For example 500 wheel horsepower before tune

Now you're talking practical.

 

[laKavosiey-st lion]

Not helpful.

Not my job to be helpful, I use math after a baseline dyno.

 

[s1uggo72]

#subjectlinesmatter

Euclid proved that if S is any finite set of prime numbers then there is some prime number p which is not contained in S. Ergo, there are infinitely many primes. Nice proof, easy to understand.

Now:
8, 9, 10 are three consecutive non-primes.

32, 33, 34, 35, 36 are five consecutive non-primes.

212, 213, 214, 215, 216, 217, 218 are seven consecutive non-primes.

It’s an easy algorithm. To illustrate by using the last example, multiply 2, 3, 5, and 7 together to get 210 and then add 2, 3, 4, 5, 6, 7, 8 in succession to 210. 212 is divisible by 2, 213 by 3, 214 by 2, 215 by 5, 216 by 2, 217 by 7, 218 by 2. So, all non-primes.

So if you take any prime p, you can find a run of p consecutive non-primes. Since there are infinitely many primes, if X is the number of seconds from the Big Bang (13 billion years ago) to the moment I post this, you can find a run of X consecutive non-primes. Every second since the Big Bang, start with a non-prime the next number is itself a non prime. And there are infinitely many primes coming up afterwards. That blows my mind. Infinity is big.

YMMV. Thanks for indulging me. Now, off to the gym!

Should have gone to the gym first

 

[s1uggo72]

I love the passion here but what makes this exciting? Genuinely curious. Is it to suggest how big infinity is? I recall one day in class my teacher said ‘how much space is there in an inch?’, and then went on to explain to you cut an inch into an infinite number of halves. That was when I realized I have no need for theoretical math concepts. I need a practical application.

He explained to you the basis for calculus, that a finite amount can be divided into an infinite amount of parcels. Now find the area under the curve x^2 from 1-3,

 

[LionsAndBears]

So, we should expect a commitment from Euclid, OH CB Telfair? Nice!!

 

[Midnighter]

He explained to you the basis for calculus, that a finite amount can be divided into an infinite amount of parcels. Now find the area under the curve x^2 from 1-3,

I am not doing any f*cking math. That’s Jim’s thing.

 

[step.eng69]

He explained to you the basis for calculus, that a finite amount can be divided into an infinite amount of parcels. Now find the area under the curve x^2 from 1-3,

I am not doing any f*cking math. That’s Jim’s thing.

 

[BobPSU92]

#subjectlinesmatter

Euclid proved that if S is any finite set of prime numbers then there is some prime number p which is not contained in S. Ergo, there are infinitely many primes. Nice proof, easy to understand.

Now:
8, 9, 10 are three consecutive non-primes.

32, 33, 34, 35, 36 are five consecutive non-primes.

212, 213, 214, 215, 216, 217, 218 are seven consecutive non-primes.

It’s an easy algorithm. To illustrate by using the last example, multiply 2, 3, 5, and 7 together to get 210 and then add 2, 3, 4, 5, 6, 7, 8 in succession to 210. 212 is divisible by 2, 213 by 3, 214 by 2, 215 by 5, 216 by 2, 217 by 7, 218 by 2. So, all non-primes.

So if you take any prime p, you can find a run of p consecutive non-primes. Since there are infinitely many primes, if X is the number of seconds from the Big Bang (13 billion years ago) to the moment I post this, you can find a run of X consecutive non-primes. Every second since the Big Bang, start with a non-prime the next number is itself a non prime. And there are infinitely many primes coming up afterwards. That blows my mind. Infinity is big.

YMMV. Thanks for indulging me. Now, off to the gym!

Stop making stuff up.

 

[Midnighter]

Stop making stuff up.

 

[Nitt1300]

still trying to digest "cool" and "math" in the same sentence

 

[Bkmtnittany1]

I am not doing any f*cking math. That’s Jim’s thing.

I need a Stella… I quit reading halfway thru the post!

 

[LionJim]

What's your Erdos Number?

Lol, infinity.

 

[LionJim]

I need a practical application.

So did both Heisenberg and Feynman, they would have been great mathematicians but kept asking where the applications were. No mathematician worth his salt asks that question.

Here’s an easy-to-explain open problem: the Twin Primes Conjecture. There are infinitely many prime numbers, as we have known for 2300 years. Twin primes are pairs p and p+2 which are both prime. For example, 3 & 5, 5 & 7, 11 & 13, 17 & 19, 29 & 31, you get the idea. Question: are there infinitely many pairs of twin primes? Nobody knows, and every single day someone is trying to prove it one way or the other. Zero practical applications that I can think of.

 

[Midnighter]

So did both Heisenberg and Feynman, they would have been great mathematicians but kept asking where the applications were. No mathematician worth his salt asks that question.

Here’s an easy-to-explain open problem: the Twin Primes Conjecture. There are infinitely many prime numbers, as we have known for 2300 years. Twin primes are pairs p and p+2 which are both prime. For example, 3 & 5, 5 & 7, 11 & 13, 17 & 19, 29 & 31, you get the idea. Question: are there infinitely many pairs of twin primes? Nobody knows, and every single day someone is trying to prove it one way or the other. Zero practical applications that I can think of.

 

[Navion N8865H]

409

 

[CVLion]

Every second since the Big Bang, start with a non-prime the next number is itself a non prime. And there are infinitely many primes coming up afterwards. That blows my mind. Infinity is big.

Others here may be underwhelmed, but I find this absolutely wild.

It makes me feel even smaller and more insignificant than does this classic:

 

[LionJim]

409

Well done.

 

[Binder74]

And it's a prime number.

Well done.

 

[PSU Mike]

#subjectlinesmatter

Euclid proved that if S is any finite set of prime numbers then there is some prime number p which is not contained in S. Ergo, there are infinitely many primes. Nice proof, easy to understand.

Now:
8, 9, 10 are three consecutive non-primes.

32, 33, 34, 35, 36 are five consecutive non-primes.

212, 213, 214, 215, 216, 217, 218 are seven consecutive non-primes.

It’s an easy algorithm. To illustrate by using the last example, multiply 2, 3, 5, and 7 together to get 210 and then add 2, 3, 4, 5, 6, 7, 8 in succession to 210. 212 is divisible by 2, 213 by 3, 214 by 2, 215 by 5, 216 by 2, 217 by 7, 218 by 2. So, all non-primes.

So if you take any prime p, you can find a run of p consecutive non-primes. Since there are infinitely many primes, if X is the number of seconds from the Big Bang (13 billion years ago) to the moment I post this, you can find a run of X consecutive non-primes. Every second since the Big Bang, start with a non-prime the next number is itself a non prime. And there are infinitely many primes coming up afterwards. That blows my mind. Infinity is big.

YMMV. Thanks for indulging me. Now, off to the gym!

Wait, is the practical application here a perfect prediction that BGJ would have never again beaten tOSU?

 

[PSU Mike]

I love the passion here but what makes this exciting? Genuinely curious. Is it to suggest how big infinity is? I recall one day in class my teacher said ‘how much space is there in an inch?’, and then went on to explain to you cut an inch into an infinite number of halves. That was when I realized I have no need for theoretical math concepts. I need a practical application.

Ok. That means that nobody in the office ever has to make a new pot of coffee because as it gets close to empty the next person only takes half of what’s left.

 

[PSU Mike]

For example 500 wheel horsepower before tune

And 30 pissed neighbors after.

 

[LionJim]

Wait, is the practical application here a perfect prediction that BGJ would have never again beaten tOSU?

That’s cold.

 

[Fac]

That's creepy Step.

 

[laKavosiey-st lion]

And 30 pissed neighbors after. (1.5 acre lots help a bit)

Funny you say that, I just installed a DINAN midpipe and evolution crossover. Let’s just say when I leave at 6am I’ll be starting it with the garage door shut

 

[step.eng69]

That's creepy Step.

Creepy is as creepy does.

Physical traits: unusual or exaggerated facial features, intense or unbroken eye contact, greasy or unkempt hair, pale skin, bulging eyes, long fingers, or dirty clothing...........my current profile working from home.

 

[ApexLion]

I was told there would be no math today. It's the weekend. amirite?

 

[Aardvark86]

I was always fond of the late sj Gould’s theory about prime numbers and cicada cycles

 

[Nittany.Lion]

This math is much more interesting. 52!

 

[uh-Clem]

#subjectlinesmatter

Euclid proved that if S is any finite set of prime numbers then there is some prime number p which is not contained in S. Ergo, there are infinitely many primes. Nice proof, easy to understand.

Now:
8, 9, 10 are three consecutive non-primes.

32, 33, 34, 35, 36 are five consecutive non-primes.

212, 213, 214, 215, 216, 217, 218 are seven consecutive non-primes.

It’s an easy algorithm. To illustrate by using the last example, multiply 2, 3, 5, and 7 together to get 210 and then add 2, 3, 4, 5, 6, 7, 8 in succession to 210. 212 is divisible by 2, 213 by 3, 214 by 2, 215 by 5, 216 by 2, 217 by 7, 218 by 2. So, all non-primes.

So if you take any prime p, you can find a run of p consecutive non-primes. Since there are infinitely many primes, if X is the number of seconds from the Big Bang (13 billion years ago) to the moment I post this, you can find a run of X consecutive non-primes. Every second since the Big Bang, start with a non-prime the next number is itself a non prime. And there are infinitely many primes coming up afterwards. That blows my mind. Infinity is big.

YMMV. Thanks for indulging me. Now, off to the gym!

Thanks for reminding me why I was a Liberal Arts major, Jim.

 

[Catch1lion]

I blame my poor teachers for my inability to master more complex math.

 

[laKavosiey-st lion]

My geometry teacher had white spittle on each corner of his mouth freaked me out. Mr Giles I think

 

[Leo Ridens]

So did both Heisenberg and Feynman, they would have been great mathematicians but kept asking where the applications were. No mathematician worth his salt asks that question.

LionJim, I appreciate the "purity" of mathematics, and the gerneral approach of mathematicians, but you must admit that physicists sometimes create new areas of mathematics by pursuing physics. Newton and calculus are well known to everyone, but more recently, string theory opened new areas of mathematics unforeseen by "pure" mathematicians, and theoretical physicist Edward Witten won the Fields Medal in 1990 for his groundbreaking mathematics. Give us poor physicists some small crumb of credit where due, OK?