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#1 Re: This is Cool » Fun with 0 / 0 » Yesterday 02:11:04

Basically 0/0 can be anything. Unless we tend to go beyond normal understanding of infinity, we can actually get 0/0=1. For example

let

Taking natural long on both sides yields

Then

If we could consider the "undefined" cancelling each other equal to zero.

Thus

We can argue like forever with this thing but this is how mathematics progresses smile Perhaps 0/0=An Apple:)

#2 Re: This is Cool » Fun with 0 / 0 » 2016-06-21 19:51:54

If you have an equation of x=y, it is always passing through the coordinate {0,0}. Since,

it concludes that
:)

#3 Re: This is Cool » My New Twin Prime Numbers » 2016-06-17 17:58:13

Extension into odd numbers instead of using primes

Where

Example

#4 Re: This is Cool » My New Twin Prime Numbers » 2016-06-14 01:35:06

Extension into negative Primes

Example

#5 Re: This is Cool » My New Twin Prime Numbers » 2016-05-31 17:03:19

Dear Primenumbers, the idea of the equations is to get the largest primes or perhaps they simply non-existence as n goes into the infinity. There are several types of equations formed from the generalize equation (i.e. n=integers, n=primes, n=square numbers).

#6 Re: This is Cool » My New Twin Prime Numbers » 2016-04-30 22:20:46

The largest solution for

could be only when

#7 Re: This is Cool » Grandi's series (1-1+1-1...) » 2016-01-16 12:06:06

You get funny values when you take all the infinities as the same. Infinity as a concept gives rise to many problems like S=1-1+1-...infinity=1/2 because we tend to take all the infinities as the same like (1+infinity)=infinity. What is the value of infinity/infinity? I am more to the concept that the Infinity has an origin and point of reference. For example, if we had a source of light that could travel forever into the infinity and is set to travel today and the another one would be set to travel tomorrow, are they the same value when they reach infinity?

If they do have the same value, I can show you that Riemman zeta function

not
and many more.

#9 Re: This is Cool » New Formulation For Sums of Power » 2015-11-19 10:43:50

The journal has been accepted for publication in the Journal of Discrete Mathematical Sciences & Cryptography

#10 Re: This is Cool » New Formulation For Sums of Power » 2015-09-26 12:08:23

This paper is about to be accepted. Then, I can update on the Wikipedia for a new formulation for sums of power of an arbitrary arithmetic progression.

#11 This is Cool » Generating Prime Listings from the Prime Sequence » 2015-09-05 05:19:42

Stangerzv
Replies: 0

Consider the equation below:

=Prime Sequence
a=Square Root of
without the decimal numbers
(A constant)
New Prime=

Where

Example:
Prime Sequence


2
3
5
7
11
13
17
19
23

Value of a

1
1
2
2
3
3
4
4
4

Value of b

1
2
1
3
2
4
1
3
7

New Prime


2
3
3
5
5
7
5
7
11

Another Larger Sequence
Prime Sequence

93703
93719
93739
93761
93763
93787
93809

Value of a

306
306
306
306
306
306
306

Value of b

67
83
103
125
127
151
173

New Prime

373
389
409
431
433
457
479

Perhaps there are lengthy new prime listing could be generated from the normal prime sequence.

#12 Re: This is Cool » My New Twin Prime Numbers » 2015-08-08 02:13:16

The largest prime value of n would always be 3. As the value of Pt and n becoming larger, n would always be divisible by 3 (a conjecture).

#14 Re: This is Cool » My New Twin Prime Numbers » 2015-07-19 22:15:31

There are so far 3 groups of primes for consecutive power when n=3.

The list is given as follows:

 



#15 Re: This is Cool » My New Twin Prime Numbers » 2015-07-15 03:29:38

For larger value of primes, it seems that the value of n is always divisible by 3. Unless a counterexample is found.

#16 Re: This is Cool » My New Twin Prime Numbers » 2015-07-11 16:20:34

It is quite amazing to find out that the plus-minus n is always having a cycle of digital roots of 2,4,3,6 or 9.

#17 Re: This is Cool » My New Twin Prime Numbers » 2015-07-04 02:26:45

Thanks for the calculation. I do believe in the future the calculation time for ProvablePrimeQ would be smaller as the computing power is getting more powerful. I was using a supercomputer with a cluster of 2000 CPUs in the late 90s and it took sometimes up to 4 months to complete a finite element analysis of a small section of turbine jet engine component. Now, a single GPU like NVDIA tesla comprises of thousand cores in a single unit of processor would make as if you are having a supercomputer at home. However, as the computing power getting faster the prime number is also getting larger and limitless. So back to the square one:)

#18 Re: This is Cool » My New Twin Prime Numbers » 2015-06-29 21:38:47

Dear Danaj, thanks for the calculation. Have you checked the prime with prime provable algorithm like in the mathematica?

#19 Re: This is Cool » My New Twin Prime Numbers » 2015-06-28 06:39:28

Dear danaj, that's not a solution because n is the number of terms used. Your equation uses n=3 and shouldn't be 57.

#20 Re: This is Cool » My New Twin Prime Numbers » 2015-06-27 10:09:59

For n<25, no apparent primes for Pt=5

For n<25, no apparent primes for Pt=6

For n<25, no apparent primes for Pt=7

#21 Re: This is Cool » My New Twin Prime Numbers » 2015-06-24 01:31:26

Smallest solution for Pt=4, when n=3


#22 Re: This is Cool » My New Twin Prime Numbers » 2015-06-22 07:07:45

Smallest solution for Pt=3, when n=2


Next prime when n=4


Next prime when n=6


Next prime when n=9


Next prime when n=15


#23 Re: This is Cool » My New Twin Prime Numbers » 2015-06-22 04:44:26

Would there be primes at n=48?

From calculation n=48 would only give one prime

#24 Re: This is Cool » My New Twin Prime Numbers » 2015-06-22 04:20:41

Smallest solution for Pt=2, when n=2;


Next solution, when Pt=2 and n=3;


Next solution, when Pt=2 and n=6;


Next solution, when Pt=2 and n=12;


Next solution, when Pt=2 and n=24;


#25 Re: This is Cool » My New Twin Prime Numbers » 2015-06-22 04:16:14

Twin Prime of Alternate Components, consider this equation:

Where

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