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But irrational numbers are worse, surely they are proof that God cannot exist.
What's the prime between 1 and 2 then?
Twelvty
beej
Full Member
What’s the prime between 1 and 2 then?
This was my first thought also.
Where N > 1 is missing from that version of Bertrand’s theorem postulate.
From the BBC...
Prime numbers are special numbers, greater than 1, that have exactly two factors, themselves and 1.
What’s the prime between 1 and 2 then?
One isn’t a prime number.
Correct. One is the loneliest number.
Three, on the other hand, is both a prime and the magic number.
One isn’t a prime number.
Poshest, most specific Prisoner mis-quote ever!
Poshest, most specific Prisoner mis-quote ever!
nice 🙂
I thought N+1 was the prime number.
What’s the prime between 1 and 2 then?
The exception that proves the rule 😉
I thought N+1 was the prime number
my n+1 is a Banshee Prime
Poshest, most specific Prisoner mis-quote ever!
Respect!
How do you feel about transcendental numbers?
There are so many beautiful numbers: primes, irrational, transcendental, complex,.. You just need to embrace them.
What really upsets me with maths is pi. why is it not a whole number. seems wrong and the 3/4/5 triangle - why is that such a nice bunch of whole numbers to make a right angled triangle?
Seems to me pi should be a whole number and the 3/4/5 triangle should not be whole numbers. pi is totally inconvenient and the 3/4/5 triangle just suspiciously convenient. I think someones having a laugh
How do you make pi anything other than an irrational number? Replace all circles in the universe with squares?
As for your nice friendly triangle… it’s because it’s half a rectangle that has sides that result in nice integers when squared that when added together result in an number that has a nice integer as its square root.
Pi is beautiful and totally convenient, it's C/D where C = circumference and D = diameter.
Think of it like that and not as a number and calm will ever be yours.
How do you make pi anything other than an irrational number? Replace all circles in the universe with squares?
First you start with a universe that makes sense. Then you create a system of maths that make sense. Something is wrong when pi is such a silly number. whoever set this universe up made a blunder on this one
Think of it like that and not as a number and calm will ever be yours.
Indeed, it’s not a number at all, but a relationship we try and represent with a number… [ runs away ]
whoever set this universe up made a blunder on this one
Circles (and ellipses) are very useful in this universe. At every level of it. I’m glad we have them.
It is a simple number, in radians.
Numbers have shapes to me and interestingly primes have an shape that is pleasing on the ( imaginary) eye. Sort of like the golden mean - the proportions "look" right"
pi on the other hand - i have no objection to circles. I just object to C/D being such a silly number 🙂
It is a simple number, in radians.
🙄
Numbers have shapes to me and interestingly primes have an shape that is pleasing on the ( imaginary) eye. Sort of like the golden mean – the proportions “look” right”
pi on the other hand – i have no objection to circles. I just object to C/D being such a silly number 🙂
Interesting, I'm not sure how you see primes as nicely shaped rectangles.
Phi, the golden ratio is however irrational (I think it might be the most irrational irrational). (1+√5)/2
Pi and e each have their own beauty. But they're a bit more Schoenberg to Mozart's whole numbers (maybe).
Interesting, I’m not sure how you see primes as nicely shaped rectangles.
I don't see them as rectangles - I see the shapes even tho they are odd shapes as pleasing tho like the golden mean is pleasing
I don’t see them as rectangles – I see the shapes
Ah, apologies - I think I understand.
So take a made up number that's the base of natural logarithms, a made up number that represents the square root of -1 and the constant that characterises the relationship between a circles circumference and diameter - yet you can combine them together and you get a simple answer...
e^i.pi = -1
Maths is beautiful.
The number 9 is a bit strange too, Thus:
1*09=09 and 0+9=9
2*9=18 and 8+1=9
3*9=27 and 2+7=9
4*9=36 and 3+6=9
5*9=45 and 4+5=9
6*9=54 and 5+4=9
7*9=63 and 6+3=9
8*9=72 and 7+2=9
9*9=81 and 8+1=9
10*9=90 and 9+0=9
Back in the 80s Rush wrote a song called The Body Electric which contained the line "1001001" which converts to 73 in decimal.
73 is the 21st prime number. If you invert 73 you get 37 which is the 12th prime number (the inverse of 21). Put the two together and you get 2112, which for all you Rush fans out there......
I've always had a soft spot for 73 for that reason.
Oh and before anyone says, yes it was on The Big Bang Theory, but Rush got there about 30 yers before them. Though to be fair I'm sure it was known well before Rush, but that's when I first came across it.
This is my favourite thread! I am not a mathematician, but I love maths!
So, with Saxon approval, as you were...
This is my favourite thread! I am not a mathematician, but I love maths!
So, with Saxon approval, as you were…
And is there anything cooler than debating prime numbers on a mountain bike forum on a Saturday night?
Answer, yes there probably is.
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The number 9 is a bit strange too
A cat has 9 lives.
A stitch in time saves 9
Possession is 9 tenths of the law
You can be dressed to the 9's.
Tolkien wrote of 9 rings give to 9 lords, and the fellowship of the ring consists of 9 fellows
e to the i pi is the closest to proof that God exists. Except it doesn't evaluate to 42. The universe doesn't make any sense.
Maybe we are just using the wrong number system which is why pi comes out wierd.
It would also explain why we need imaginary numbers to solve real world problems. That always felt like a fudge.
Is there. Proof to the prime number n/2n. Is it stupidly complex? It's an interesting statement.
One is the set that contains the empty set, if my discreet mathematics is rememebered correctly.
2 is the only number that has the same sum and product with itself.
and the only prime divisible by two.
Maybe we are just using the wrong number system which is why pi comes out wierd.
It would also explain why we need imaginary numbers to solve real world problems. That always felt like a fudge.
thats my feeling.
If you think maths is incomprehensible, what do you think you get if you sum all the integers between 1 and infinity, ie:
1+2+3+4+........infinity?
Because the answer is -1/12
I know folk will say that it's not true and in a way it isn't. To say equals isn't explaining it properly; what we are doing is assigning -1/12 to represent that sum which can't absolutely be worked out.
HOWEVER (and this is the f*ked up bit, to the average person)
this sum appears in various places in physics; string theory, quantum mechanics, etc., and if you plug in -1/12 in place of that sum...... then the maths continues to work out.
Maybe we are just using the wrong number system which is why pi comes out wierd.
Would a number system need to be substantially different for pi to not come out weird?
And how many fingers would it leave us?
Except it doesn’t evaluate to 42.
You need a better proof 😉
e^(i*Pi) = 1/42^0
e^(i*Pi) = 1/42^0
Hmm, something amiss there methinks.
If e^(i*Pi) = 1/42^0 then I'm the prettiest man alive. But then a false statement implies any statement, which is another cool maths fact
Yes it's our number system that is i adequate. That's why we have algebra and why we use radians rather than degrees in physics.
We've solved the issue of the irrational number by just giving it a Greek letter instead, and everything works out just fine.
the closest to proof that God exists. Except it doesn’t evaluate to 42. The universe doesn’t make any sense.
As you will know, the question in H2G2 turned out to be 6x9=? It does work in base 13, 6x9=42, proving that God has 13 fingers.
Pi does makes sense as long as you remember that there are pi radians in a Cornish pasty.
primes have an shape that is pleasing on the ( imaginary) eye.
@tjagain what happens when you realise that a number you had thought was prime such as 93 actually isn’t? Does it change to a less pleasing shape? And vice versa?
The pi thing is so weird
It is a feature of the geometry of our universe
Because of that it crops up in things like field equations.
So my worry is that @tjagain might put in a simpler number request. We reconfigure the universe with pi as 3. But suddenly electrons can’t form stable shells round atoms and everything we hold dear from bikes ones too loved is now just a sea of charged particles
So let’s be careful what we wish for
Is that synesthesia TJ? I get it a bit, days have colours for me (Monday is green, Tuesday a kind of pink, Wednesday yellow, Thursday redish pink, Friday brown, Saturday a darker red and Sunday a darker yellow than Wednesday)
The interesting question is,does it just apply to numbers you know are prime, and therefore get a shape, or does it apply to any prime and if so can it be used to find primes? Eg, that number is a pentagon, that must be prime.
Like it only works for me if I know what day it is, April 23rd 1924 doesn't have a colour but tell me its a Wednesday and suddenly it does, useless for working out what day particular days were but if you dont need that intermediate step like I do then that would be a really useful skill to have.
Also, does say, 17 have a shape and does the equation x=24-7 have the same shape or do you need to work out x for it to get a shape?
Basically can TJ spot primes visually or is it just known primes which get ahapes?
e^i.pi = -1
I refuse to believe this.
Got to get 42 in there somewhere, ok but not in the sum. The odd thing is, what’s 0^0? 😜
https://en.m.wikipedia.org/wiki/Zero_to_the_power_of_zero
n^0 = 1
Basically can TJ spot primes visually or is it just known primes which get ahapes?
I don't know if its really synesthesia. All numbers have shapes to me. Usually a square with an added triangle on top in differing shapes and proportions, but some are other polygons but the primes are pleasing shapes. I think its more to do with a visual imagination and I cannot predict primes from shapes. larger numbers the shapes are more blurred / less defined