Random posts

[toroidalet]

I had a post about volcanos, but the neutrinoes wouldn't let me do it.

[Saka]

snake lake bake cake fake take rake Jake wake make sake yake pake gake hake kake zake xake vake nake

[Gamedziner]

snake lake bake cake fake take rake Jake wake make sake yake pake gake hake kake zake xake vake nake

shake stake drake flake brake

[gameoflifemaniac]

snake lake bake cake fake take rake Jake wake make sake yake pake gake hake kake zake xake vake nake

shake stake drake flake brake

aake

[gameoflifemaniac]

I had a dream that a p100 Cordership gun was found, but in origami...

[Gamedziner]

4=2+2
For all greater even numbers, consider the "weak" Goldbach conjecture:
For all odd n greater than or equal to 9, n can be expressed as three odd primes. Let these primes be p₁, p₂, and p₃.
Let the even number be x.
Now consider the number x+p₃. Since x is even and p₃ is odd, x+p₃ is also odd. Since we are only considering even numbers greater than or equal to 6, and the smallest odd prime is 3, x+p₃ is an odd number greater than or equal to 9.
x+p₃ is an odd number greater than or equal to 9, and n is any odd number greater than or equal to 9.
As x+p₃ is a proper subset of n, all properties that apply to all n also apply to x+p₃.
Thus, x+p₃ can now be expressed as the sum of three primes, or x+p₃=p₁+p₂+p₃.
Subtract p₃ from both sides.
x=p₁+p₂.
Thus, all even numbers greater than 2 can be expressed as the sum of exactly two primes.

[gameoflifemaniac]

Created my first page!
Cis-boat and cap

[praosylen]

Thus, x+p₃ can now be expressed as the sum of three primes, or x+p₃=p₁+p₂+p₃.

Nothing says that the p₃ on the left has to be the same as the one on the right. It would be more properly expressed as x+p₃=p₁+p₂+p₄, from which no proof of the Goldbach Conjecture can be easily derived.

[Gamedziner]

Thus, x+p₃ can now be expressed as the sum of three primes, or x+p₃=p₁+p₂+p₃.

Nothing says that the p₃ on the left has to be the same as the one on the right. It would be more properly expressed as x+p₃=p₁+p₂+p₄, from which no proof of the Goldbach Conjecture can be easily derived.

You can add any real number to another real number. I just chose p₃ as the number to add to x (on purpose). I intended to add the same variable p₃ that is in the "p₁+p₂+p₃." Just because p₃ is a variable doesn't mean I can't add it to another variable.

[praosylen]

Thus, x+p₃ can now be expressed as the sum of three primes, or x+p₃=p₁+p₂+p₃.

Nothing says that the p₃ on the left has to be the same as the one on the right. It would be more properly expressed as x+p₃=p₁+p₂+p₄, from which no proof of the Goldbach Conjecture can be easily derived.

You can add any real number to another real number. I just chose p₃ as the number to add to x (on purpose). I intended to add the same variable p₃ that is in the "p₁+p₂+p₃." Just because p₃ is a variable doesn't mean I can't add it to another variable.

Sorry, I misunderstood your argument at first. There still seem to be some logical holes, and if it were that easy to prove, someone would already have done it.

[Gamedziner]

You got me there. There is a MUCH weaker version that I can prove though:
All whole numbers greater than 3 can be expressed as the sum of 7 primes or less.
Values less than 20 have explicit solutions.
Odd numbers greater than 9 are known to have solutions with 3 primes.
For even numbers x (all x being greater than or equal to 10), x+1 and x-1 can be expressed as the sum of 3 primes.
x-1=p1+p2+p3
x+1=p4+p5+p6
Add them to get:
2x=p1+p2+p3+p4+p5+p6
That is a number greater than or equal to 20 and divisible by 4. All such numbers can be expressed with at most 6 primes. The remaining numbers can be expressed with at most 7 primes, as adding the prime "2" gives the remaining numbers:
2x+2=p1+p2+p3+p4+p5+p6+p7 (p7=2)

[apg]

You got me there. There is a MUCH weaker version that I can prove though:
All whole numbers greater than 3 can be expressed as the sum of 7 primes or less.
Values less than 20 have explicit solutions.
Odd numbers greater than 9 are known to have solutions with 3 primes.
For even numbers x (all x being greater than or equal to 10), x+1 and x-1 can be expressed as the sum of 3 primes.
x-1=p1+p2+p3
x+1=p4+p5+p6
Add them to get:
2x=p1+p2+p3+p4+p5+p6
That is a number greater than or equal to 20 and divisible by 4. All such numbers can be expressed with at most 6 primes. The remaining numbers can be expressed with at most 7 primes, as adding the prime "2" gives the remaining numbers:
2x+2=p1+p2+p3+p4+p5+p6+p7 (p7=2)

You can reduce '7 or fewer' to 'exactly 4': every sufficiently large even integer is 3 + n, where n is a sufficiently large odd number therefore expressible as the sum of three primes. Likewise, odd numbers are of the form 2 + n.

[Saka]

Hey calcyman what would be your reaction if I messed up the Catagolue logo into:
1. Calcyland (Using the picture of you I found on gitlab)
2. Catagolue but Javanese

[Gamedziner]

You can reduce '7 or fewer' to 'exactly 4': every sufficiently large even integer is 3 + n, where n is a sufficiently large odd number therefore expressible as the sum of three primes. Likewise, odd numbers are of the form 2 + n.

Noice.

[apg]

Hey calcyman what would be your reaction if I messed up the Catagolue logo into:
1. Calcyland (Using the picture of you I found on gitlab)
2. Catagolue but Javanese

Catagolue in Javanese would be somewhat amusing, given that it's written in Java.

[dani]

The first sample soup of this linear growth also produces the only cis block and longhook

[Saka]

What if some user on these forums is John Conway in disguise

[dani]

add a little pink to your morning

[gameoflifemaniac]

Natural trans-boat with tail:

Code: Select all

x = 16, y = 16, rule = B3/S23
4b2obo4bo$obo2b2o2b6o$2ob2obobobo2b2o$3bob2obob2o3bo$obo4bo3b2obo$2o3b
o5b2o$4b5obo2b3o$bobo3b2obo2bobo$2bo3bo3bobob2o$b2o2bobob3o2bo$b4o2bo
2bob2obo$3obo2b2o2bo3bo$o3bob8o$3ob2ob2ob2o2b2o$2o8b4obo$3o2bob6o!

Natural boat-tie-ship:

Code: Select all

x = 16, y = 16, rule = B3/S23
bo2b3o4b4o$ob3ob4o4bo$2bob2ob4o3b2o$b2o2b4o2b2obo$4obob2obo2bo$3o2b2ob
4obobo$b2o2bo2bobo$ob2ob3o2b4obo$2o2bobo2bob2ob2o$b4obo3b4obo$o4bo3bo
2b2obo$2obobob4obob2o$2b3o2b2o3b2o$2ob2o3bob5o$3o3bobob2o3bo$4obobo2b
2obobo!

Code: Select all

x = 16, y = 16, rule = B3/S23
b3o2b2obo3b2o$b4o2b2o3bob2o$3o2b3o4b2o$2o2b2o3b4o2bo$o2bo4bob2o2b2o$2b
ob2obobo2bobo$5o3b4ob3o$2ob3o2b3obo$o2bobob2ob3obo$b2obo3b2ob4o$b2o2b
3obo2bobo$2b2o2b3ob2ob2o$bob5ob2obobo$2b2obo4bo$6b3o3bo$2b2obo5b3o!

Natural block-laying switch engine in a 24x16 box:

Code: Select all

x = 24, y = 16, rule = B3/S23
3b2o5bo2b2ob3ob3o$3b5ob3o2b3o5b2o$bob3o2bo2bo3bo4bob2o$2obo2bob4o2b7ob
o$2o6bob2o2bobob2o$6bob5o4bo$obobo5bob3o4b3o$obobob2o4bo2b4o4bo$obobo
2bo2b3o3b2ob2obo$o2b2ob3o2bo8bobo$bob2obob4o3b3o2b3o$o2b2o2bobo4bob2ob
3o$2o4b2o2bo2b3o2b4o$o4bo2b3o4b2ob5o$b2obob6o3b2obobob2o$b3o2b3ob2o5bo
2bo!

Natural twit:

Code: Select all

x = 16, y = 16, rule = B3/S23
bo3b2o2b2ob3o$2obobobobob5o$2bo3b2obo2b4o$2bobobobob2ob3o$2o5bo2b4o$ob
5obobo2bobo$ob3obobo3bo$2bob2o2bobob2o$o7b2o3bobo$b3o9b2o$2o5b5o2bo$ob
o2b4o2b2ob2o$o2b2ob9o$4b2o
bo4b2obo$6obo2bo2b2o$2bobo2bo2b4obo!

Code: Select all

x = 16, y = 16, rule = B3/S23
bobo3b2o2b2obo$3ob6o3bobo$2b2o7b3o$o3b3o3b2o$2b2ob2o3bob2o$ob2o2bo2bo
3bo$b2ob6obobo$bob2obo2bobo$bo2bo3bobo3bo$2b3obo3bob4o$2o3bobob4o2bo$
3obo2bo2bo$o2bo2b2ob2ob3o$3b3o3b3obobo$ob2obobo2b5o$ob3o3b2obo3bo!

Natural snake:

Code: Select all

x = 16, y = 16, rule = B3/S23
b2obobo4bob2o$o4bob5o3bo$3ob2ob7obo$3obo2bo5b2o$2b2obob3o2bo2bo$o2b2ob
ob2o5bo$3bo2bo4b2obo$2bo2b2ob2o3b2o$bo2bob2ob2obob2o$4b2o5b3obo$b2ob2o
bob3obobo$b2o2b3obo4b2o$o2bobobob2o4bo$6o2b2ob2o2bo$bo4bobo6bo$4o2bo7b
o!

Code: Select all

x = 16, y = 16, rule = B3/S23
o2b2o2b4ob2obo$b3ob2o2b4o$2ob2ob2o5bo$o3bobo3bo3bo$2bo2bob2o3b2obo$2o
3b2obob2o2b2o$3b4o3b2o2b2o$obob2obob2obo2bo$4b4o2bo2b3o$obob2o7bo$3b2o
b6o2b2o$o2bo2bobo4bo$obo2bobobo4b2o$5o2b2obobo$obob4o2b3o2bo$b2obo3bo
4b3o!

Natural hat:

Code: Select all

x = 16, y = 16, rule = B3/S23
3ob2o2bobo2bo$6bobobo3b2o$ob3o3bob2o$bo5bobob3o$2b3o3bo3b4o$b2o2b5o4bo
$obobo4bob2o$o3b2o2b7o$bo4b4o2b2o$2obo2b3obobo$bob3obobo3bobo$b2o10b2o
$bo2bob2ob2o4bo$4o3b2o3b3o$3bob2o3b2o$o2b4o2b2o2b3o!

Code: Select all

x = 16, y = 16, rule = B3/S23
o4b4o4b3o$4o2b2obobob2o$2o2b3obobob3o$2o2b4o2bobo$2bobobob4o2b2o$obobo
3b4ob2o$o4b2o3bobob2o$2o2bobo2b2o2bobo$ob2o2b3o2b5o$2obo2b2obobob2o$ob
obo4b2o3bo$2obobo3b3o2b2o$2b2obo2bo5bo$5o5b2ob3o$o5bo3bo$obobobob2ob3o
bo!

Code: Select all

x = 16, y = 16, rule = B3/S23
6b2obobobobo$3o2b2ob2ob2o$4o5bo2b4o$b2obo2b2obo2b3o$6bo2bo2bob2o$6ob3o
bobo$2o4bo2b2ob2o$o2b2obo7bo$2ob2obob3ob3o$2bo2bob3obob3o$3obob2obo3bo
$b5o2bobo2b2o$3b5o5bobo$ob2o3b5o3bo$bo4b3o$bo2b3o2bobo3bo!

[toroidalet]

Justice man, justice man, does whatever a justice can (not much)
Justice man, episode 1 leaked script:
(scene: a courthouse, case Napoleon III vs France)
JM: You claim your case is that your birth certificate lists you as Napoleon III and as a result you are the rightful heir of Napoleon's vast empire?
N3: No, my case is that I was arrested for saying something that sounded like an insult in Etruscan. I was not in France, I was in Russia and I have never claimed anything about my ownership of France.
Prosecutor: This alibi is invalid, as the island of Russia was sunk by the Mayans in 1883 when they were trying to stop a war with Italy but sent their nuclear weapons to the wrong country.
N3: Your facts are wrong. The Mayans were completely obliterated by Japan in 1882 so they couldn't have nuked Russia. Also, are you qualified to be a justice?
JM: Back to the case, you both make valid points, but I must rule in favor of the prosecution. (I hate my job.)
N3: No, I meant the city, Russia, located in Arabia.
[hours more of court scenes, but you get the picture.]
(I don't know how a court works)

[toroidalet]

natural [stuff]

As the Queen of England, I have the power to subpoena you for such insolent behavior. (DISCLAIMER: I might not actually be the queen of England (I may even be the wrong gender (female)) but England is my city so hard that I might as well be. (The authorities didn't agree.))

[Saka]

I used to think Elon Musk was a type of deer.

[Gamedziner]

Four-dimensional loop AKA Hyperloop

[Gamedziner]

Proposition: The Big Bang theory is false.

Proof:

Let us suppose that the Big Bang theory is true.

Then, at the start of the universe, there was a massive explosion.

Additionally, all energy in the universe was concentrated into a very small volume.

Black holes are known to exist with smaller concentrations of energy.

Thus, the energy at the start of the universe, being much more compact than an ordinary black hole, immediately became a supermassive black hole.

The black hole does not allow anything, including light, to escape.

Thus, no explosion, including a massive, universe-creating explosion, could occur.※

Consequently, the supposition that the Big Bang theory is true leads to a contradiction.
As such, the opposite — namely, that the Big Bang theory is false — must be true.

[Saka]

Bang bakso bang

oi this thread ist 4 rendoum posts not smartee posts