Question

- something incredible
- how is this possible ?

1=2

???????????

Answer 1

\[\ln (x) = \int\limits{1/x} = \int\limits_{ }2/(2x) = \ln (2x)\]

Answer 2

hi @ganeshie8

Answer 3

im familiar with this
il let somebody else figure this out this time :)

Answer 4

how do you think can i have new conjecture in world of primes ? because i think that i have got some - 1-2-3 ???

Answer 5

Ahhh yeah this is a fun trick to fool people I forgot about this one haha.

Answer 6

@ganeshie8 excuze me for your derange - i m technician electronics - the mathematics is one my bige hobby - and i think that i havent with who i can talking these interestingly math idea what i got ,i have - you dont have something idea please for how can i share these with math-world - yes if it's worth

Answer 7

Here's two hints:

Rules of logarithms

Indefinite integrals

Answer 8

@ganeshie8 and because you are here @Kainui how you think it please ?

can we name the twins with sum of members +/- 1 generate in first round new twins too - so can we name these twins perfectly twins ?

opinions ? - this may be my first conjecture - that is possibly

Answer 9

for example

5-7

5+7=12
12 +/- 1 = 11-13

so this mean that 5-7 are perfectly twins

Answer 10

29-31

29+31 = 60

60+/-1 = 59-61

so these same first example

Answer 11

29-31 are perfectly twins

Answer 12

Oh that's really cool I like that!

Answer 13

and what is your opinions about absolutely twins ? so this mean that a perfectly twin like 5-7 with sum of members = 12+/-1 generate new twin like in this case 11-13 and than we assum 11+13=24 but 24x3=72+/-1 = 71-73
so this mean that 5-7 are perfectly twins

Answer 14

hope so much that i write it understandably - pardon for my grammatically errors

Answer 15

@ganeshie8 so this is the way how i have got these biger twins of 2591-2593

Answer 16

Hmm I sort of understand, but I don't know what absolutely twins are. Does this mean it leads to a chain of twin primes? Specifically what is this?
24x3=72

why 3?

Answer 17

yes 72+/-1 = 71-73 new twin

Answer 18

this is a way what i have got to generate new primes and /or twins

Answer 19

What is 3, why not 4 or 5?

Answer 20

24x5=120 but 119 and 121 are not twin primes.

Answer 21

and again something interestingly

2+2=4+/-1 = 5-7
5+7=12+/-1=11-13
11+13=24x3=72+/-1=71-73
71+73=144
144x3=432+/-1=431-433
431+433=864
864x3=2592+/-1 = 2591-2593

Answer 22

this is the biger directly family tree of twins what i have got using this way

Answer 23

@ganeshie8 - how you like it - please ?

Answer 24

Hmm it seems kind of arbitrary and doesn't hit all the twin primes but it is interesting and fun to play with.

Answer 25

yes this is true but remember in case of human family tree not everybody are kin or direct descendant - yes ?

Answer 26

so why not can being this possibly so in the world of primes too ?

Answer 27

@ganeshie8
@ParthKohli

????- opinion

Answer 28

True true, not all primes are related. This is interesting I'm gonna keep playing with these and I'll tell you if I find anything. Right now just working on making a program to find the longest chain of these in Java. Do you program?

Answer 29

sorry no - than you read my above wrote words i m technician electronist and the mathematics is one of my big big hobby - i like -love it because my opinion that is the best logically subject from all over the world

Answer 30

these i have wrote to @ganeshie8 to and than i have something interestingly like new conjecture - for example - so i dont know how or with who need talking this for i can deciding than is right or not is importantly or not ,---- ???

Answer 31

Well you should spend some time learning just a little bit of basic programming, it would be a great tool for you!

Answer 32

why do you think it so ? i know that in the computer world use to much prims and ...

Answer 33

and so in the bank sector with money to generate different codes of bankcards or bank accounts - i have heard it so - and because have said me one my college of work and i have got these two prims from what was created the cvv code of my bank card - so this mean that this make sens - right

Answer 34

I dont get it but if it could be explained i wanna see

Answer 35

\[\ln (x) = \int\limits{\frac{dx}{x}} = \int\limits \frac{2}{2x}dx= \ln (2x)+C=\ln(x)+\ln(2)+C=\ln(x)+C\]

Answer 36

This is why, also,
\(\color{#000000 }{ \displaystyle \frac{d}{dx} \ln(\alpha x)=\ln( x)+\ln(\alpha)=\frac{1}{x}+0=\frac{1}{x} }\)

(and using the chain rule, the result obained is same)

Answer 37

One thing to keep in mind is that we can write ALL numbers of these form (mod 6 arithmetic):

6n, 6n+1, 6n+2, 6n+3, 6n+4, 6n+5

All of these for n>0 are composite and can be factored except 6n+1 and 6n+5 which is really the same as 6n+1 and 6n-1.

All twin primes greater than the pair (3,5) are of the form 6n-1 and 6n+1 so if you add them together like you've done:

6n-1 + 6n -1 = 12n = 6(2n) then you have a possibility of having 6(2n)-1 and 6(2n)+1 for another twin prime again!

Answer 38

@Kainui - thank you for your words but little missed term there so 6n-1+6n-1= 12n-2 and not just 12n like how you wrote above

Answer 39

i think you wan adding there 6n-1+6n+1 = 12n - in this way is right sure

Answer 40

@saifoo.khan
@satellite73

please your opinion about these ?

thank you very much

Answer 41

@jim_thompson5910 - please

Answer 42

@SamBot - please read these comments and i wait your opinion about them

Answer 43

um im only in middle school i have no idea!!

Answer 44

Dear CHAMPIONS !

- samthing new bout primes

5 - 7
------

5+7=12 +/- 1 = 11 - 13
--------

11+13=24 x 3 = 72 +/- 1 = 71 - 73
--------

72+73=144 x 3 = 432 +/- 1 = 431 --- 433
------------

431+433=864 x 3 = 2592 +/- 1 = 2591 ----- 2593
----------------

- so than you see these all twins what have resulted begin this line with 5 - 7
every resulted twins has members ending in 1 and 3 - so not is this very very interesting ?

- than we begin it by

17 --- 19
----------

17+19=36 x3 = 108+/- 1 = 107 --- 109
------------

107 +109 = 216 x3 = 648+/-1 = 647 --- 649
------------

- so than you see them started by 17 and 19 every resulted twins has mambers ended in 7 and 9 - not is interesting too ?

29 --- 31
---------

29+31 = 60 +/-1 = 59 --- 61
---------

59+61=120 x3 = 360+/-1= 359 --- 361
------------

- so every two twins has members ending in 59 and 61 - how much interesting it these ?

Answer 45

\(\color{#0cbb34}{\text{Originally Posted by}}\) @SolomonZelman
\[\ln (x) = \int\limits{\frac{dx}{x}} = \int\limits \frac{2}{2x}dx= \ln (2x)+C=\ln(x)+\ln(2)+C=\ln(x)+C\]
\(\color{#0cbb34}{\text{End of Quote}}\)
In this I think you've done a mistake. \[ ln(2)\neq 0 \]

Answer 46

He's lumping constants together. ln(2) + C is another constant