The snakes are running for your lives!
Posted: November 24th, 2017, 7:58 pm
I had a post about volcanos, but the neutrinoes wouldn't let me do it.
shake stake drake flake brakeSaka wrote:snake lake bake cake fake take rake Jake wake make sake yake pake gake hake kake zake xake vake nake
aakeGamedziner wrote:shake stake drake flake brakeSaka wrote:snake lake bake cake fake take rake Jake wake make sake yake pake gake hake kake zake xake vake nake
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 wrote:Thus, x+p₃ can now be expressed as the sum of three primes, or x+p₃=p₁+p₂+p₃.
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.A for awesome wrote: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 wrote:Thus, x+p₃ can now be expressed as the sum of three primes, or x+p₃=p₁+p₂+p₃.
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 wrote: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.A for awesome wrote: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 wrote:Thus, x+p₃ can now be expressed as the sum of three primes, or x+p₃=p₁+p₂+p₃.
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.Gamedziner wrote: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)
Noice.calcyman wrote: 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.
Catagolue in Javanese would be somewhat amusing, given that it's written in Java.Saka wrote: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
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$3o2bob6o!
Code: Select all
x = 16, y = 16, rule = B3/S23
bo2b3o4b4o$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!
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!
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$ob3o3b2obo3bo!
Code: Select all
x = 16, y = 16, rule = B3/S23
b2obobo4bob2o$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!
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!
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.))gameoflifemaniac wrote:natural [stuff]
oi this thread ist 4 rendoum posts not smartee postsGamedziner wrote:Bang bakso bang