Unity+

I may be wrong, but can't vaccines cause genetic mutation within the offspring of the person who takes the vaccine? If there was an increase in the size of the population(drastically), then one might notice a change in the amount of people who have allergies. Though, I could be wrong.

Though you would need scientific proof of this. Simply an explanation is not the true explanation.

I love mathematics to the full extent. In fact, I try to make my life spiritually through mathematics(being a Christian/Catholic and all). I find something in mathematics that seems to make something have a mind. I feel that there has to be something behind it. It takes an intelligence to find something created by an intelligence. Many people may not agree with me, but mathematics seems to not only observe what is mathematically possible, but also the many philosophies that exists. Everything is linked to philosophy. Mathematics is definitely a strong link to it. Some may consider me insane for it, but again I find it both fascinating and having a spiritual system. Something divine being a huge role in the makings of it. Nature follows many basic principles of mathematics, yet it has a complex design. At the end of working on some mathematical properties or solving problems, I find myself wondering "Why is it this way?" Then I begin thinking of the philosophical principles. I used to not appreciate mathematics. In fact I used to be fascinated with video games mostly and programming. In fact, I used to wear a bike jacket(something like it) and jeans(just to represent my "punkish" side of me). However, during a geometry class the teacher began talking about the number pi. He began talking about if someone were to find a pattern to pi that they would have solved a huge problem. I became curious and began working that day on finding a pattern to pi. After working all night, I thought I had discovered a pattern to pi. I took it to him and such. Though I failed, it encouraged me however because just observing the pattern of pi had brought me to a state of "insanity" if you will. After that, I became very involved in physics because I developed a function known as the cor function, which I thought would relate to the gravitational forces and the orbits of planets. Though it was mostly speculation and false, the mathematics behind it intrigued me. After I became much involved in mathematics, I began living a spiritual life. I have become obsessed with mathematics and I think it is my life, also with my spiritual side. Though this story may seem long, it is necessary to understanding my love of mathematics.

Before I complete the paper I am going to release, here is some more properties and conjectures to present. Well, I actually found the Collatz conjecture useful for primes. I began analyzing the numbers of the variable p within the Mersenne formula for finding this prime candidate. Here is what I did(here is the equation). [math]p = \sum_{n=0}^{k}(2^{n+1} - E(k,d))(10^{n})[/math] Where [math]E(k,d)[/math] is an element within a matrix solution of a Collatz-Matrix equation. Here are some patterns I found: p=257885161 (2^1 - 1) Odd (2^2 + 2) (2^2 + (2*1)) Even (2^3 - 7) (2^2 - ((2*2)+3)) Odd (2^4 - 11) (2^2 - ((2*7)-3)) Odd (2^5 - 24) (2^2 - ((2*11)+2)) Even (2^6 - 56) (2^2 - ((2*24)+8)) Even (2^7 - 121) (2^2 - ((2*56)+9)) Odd (2^8 - 251) (2^2 - ((2*121)+9)) Odd (2^9 - 510) (2^2 - ((2*251)+8)) Even (2^3 - 7) (2^2 - ((2*2)+3)) (2^4 - 11) (2^2 - ((2*7)-3)) (2^7 - 121) (2^2 - ((2*56)+9)) (2^8 - 251) (2^2 - ((2*121)+9)) (2^2 + 2) (2^2 + ((2*1)+0)) (2^5 - 24) (2^2 - ((2*11)+2)) 0-> |6(0) - 2| (2^6 - 56) (2^2 - ((2*24)+8)) 1 |6(-1) - 2}| (2^9 - 510) (2^2 - ((2*251)+8))1 |6(-1) - 2}| I found these same patterns while working on Raymond Arithmetic. Also, I noticed that the numbers can be produced using Collatz-Matrix equations. If I can some how form an equation, I may be able to form an efficient equation to predict Mersenne primes. I have a conjecture. This will be the Collatz-Prime Predictive Conjecture. Let us say you have the paramters: [math]\frac{x}{a}[/math], [math]bx+c[/math] A prime formula can be written using those two parameters: [math]a^{p}-c[/math], where the predict equation would be: [math]p = \sum_{n=m}^{k}(a^{n+1} - E(k,d))(10^{n-m})[/math] Where k is a specific magnitude. Where m is an even number or 0. The conjecture is that this equation for a specific set of parameters can predict the numbers needed for primality. [math]2^{\sum_{n=m}^{k}(2^{n+1} - E(k,d))(10^{n-m})} - 1[/math] [math]a^{\sum_{n=m}^{k}(a^{n+1} - E(k,d))(10^{n-m})} - 1[/math] Sub-conjecture: Let us say there is this equation: And the formula for the prime is the following: Then, , which this notation implies that the number will be located in any of the matrix solutions produced by this Collatz-Matrix equation. This is proven slightly by the work above. Here is some more work I did that is the beginning of the other equations provided: [math]\left \{ \frac{x}{a} \right \}\rightarrow \left \{ bx+c \right \}[/math] [math]\left \{ 1 \right \}\rightarrow \left \{ a^{x} \right \}\rightarrow \left \{ a^{2}x+bax+c \right \}\rightarrow \left \{ C \right \}[/math] Where C is the variance in the hailstone sequences.(equations based off of hailstone sequences). [math]\left\{ C \right \}\leftarrow \left \{ q+a^{3}b, w+a^{2}b, e+a^{1}b, p+a^{0}b \right \} \leftarrow \left \{ q,w,e,p \right \}\leftarrow \left \{ 1 \right \}[/math] [math]q = b^{2} +bp + c[/math] [math]a^{\sum_{n=m}^{k}(a^{n+1} - E(k,d))(10^{n-m})} - c[/math] Which can be also written as: [math]a^{\sum_{n=m}^{k}(a^{n+1} - E(k,d))\times 10^{n-m}} - c[/math] [math]\sum_{n=m}^{\infty}(a^{n+1} - E(k,d))\times 10^{n-m} = \infty[/math] Where m is an even number or 0. Which also is referenced in this way: Where the variables [math]d_{i}[/math] and [math]d_{e}[/math] are a part of the Collatzian ratio. [math]d_{r}=\frac{d_{i}}{d_{e}}[/math] [math]d_{c}=\frac{d_{e}x-d_{e}-d_{i}x}{d_{i}} = (a_{f}v_{f})-(b_{f}u_{f})[/math] Hailstone-Exception Conjecture: Let us say there is the Hailstone-exception: [math]\left \{ a,b \right \}[/math] The variable b will always be prime. The variable a will always be a semi-prime. Hailstone-Sequence Default Conjecture: If the initial value of a Hailstone sequence(applying the Collatz conjecture) is equal to [math]d_{i}[/math], where the [math]bx+c[/math] is to be [math]\frac{d_{i}x + d_{e}}{d_{e}}[/math], then the Hailstone sequence will look like the following. [math]\left \{ d_{i} \right \}\rightarrow\left \{ q+r^{3}d_{i},w+r^{2}d_{i},e+r^{1}d_{i},p+r^{0}d_{i} \right \}\rightarrow \left \{ q,w,e,p \right \}\rightarrow \left \{ 1 \right \}[/math] Hailstone-Sequence Complete Conjecture: If the initial value of a Hailstone sequence(applying the Collatz conjecture) is equal to [math]d_{i}[/math], where the [math]bx+c[/math] is to be [math]\frac{d_{i}x + d_{e}}{d_{e}}[/math], then the Hailstone sequence will look like the following. [math]\left \{ d_{i} \right \}\rightarrow\left \{ q+r^{3}d_{i},w+r^{2}d_{i},e+r^{1}d_{i},p+r^{0}d_{i} \right \}\rightarrow \left \{ q,w,e,p \right \}\rightarrow \left \{ d_{e} \right \}[/math] These hailstone equations show the relationship between [math]d_{i}[/math] and [math]d_{e}[/math].

Well, my point is that the government is after Snowden because he witnessed the government spying on American citizens and decided to do something about it.

http://lavabit.com/ Because it was found that Snowden had used this e-mail service the government forced the owner of Lavabit to close it's doors. Silent Circle also stopped because of this event. I feel the people should be doing something now. Clearly the government is after Snowden for some reason and it is affecting the internet's ability to spread information freely without government intervention. If the government can do this, then the government can declare what scientific research should be released and what is not to be, if it could help countries with poverty and such. What does everyone think of this?

Here is the sufficient proof of the primality of the first candidate using Wilson's theorem. If this is true, then the candidate is prime. EDIT: The first candidate has been proven a prime, a Mathematica document will be uploaded to prove as such.

I have now been using a prime factorization algorithm to determine if the candidate is a prime number(it is going to take a while). However, it most likely is a prime number and(if my calculations are correct), it is over 18,000,000 digits long. However, I am still doing some calculations to find the precise size of the number. UPDATE: The number is 77,631,169 digits long. Well, I hope here is some good news. I have used Fermat's Little Theorem to try to predict that it was a prime number, and it seems to be true. You can check my work(if anyone knows Mathematica, here is the code). Simplify[Mod[2^257885161, 257885161] == Mod[2, 257885161], Element[2, Integers] && Element[257885161, Primes]] And the result turned out to be true. Also, I found another prime candidate that is over 100,000,000(167,940,168 digits long more exactly) digits long: Simplify[Mod[2^557885161, 557885161] == Mod[2, 557885161], Element[2, Integers] && Element[557885161, Primes]] Though Fermat's little theorem may not be proof enough that they are prime, it still gives a hopeful chance that they are. The first prime candidate(with a need of confirmation) is now proven to be a prime using Fermat's Little Theorem and Wilson's Theorem. FullSimplify[Mod[((2^(257885161) - 1) - 1)!, (2^(257885161) - 1)], Element[(2^(257885161) - 1), Primes]] Due to some limitations with Mathematica, I will have to work around with the second prime candidate, but it has been proven with Fermat's Little Theorem to be prime.

It would make sense since many papers are merely a part of one set of papers that describe a specific subject.

Thank you for the answers.

Thank you for the answer. This should help me greatly. Here is another question. You say that there must be a conclusion. There is some form of conclusion that can be made, but the only conclusion that I have with the work I have made is the idea if an infinite amount of numeral systems based on the amount of dimensions that exist. Another conclusion is the hailstone equations that are derived from the work. How would I address this?

I translated this to: "Guys I have made a revolutionary discovery. However, it is a secret because every government in the world will want it. Now, just give me your money without any proof that I have done anything at all." Even the smallest scams were better than this.

I know how to write regular essay-type paper, but I know these type of papers have a different format(I think). Can someone show me how I would format the paper or direct me to references about how to do this?

I find the two being the same. It isn't the literal sense of giving them alcohol. It was an analogy.

I apologize about my inability to organize well. More ideas are found and I thought having them in this topic would help me organize it into one single paper. The problem with writing a paper on it is the many conjectures that I have yet to prove.

Any comments? Questions? I will be releasing more work on this later on.

Lowering the drinking age would be like giving candy to a kid who is crying. Simply giving the child candy will simply make he or she want more candy and will just keep crying until they get all the candy in the world. If they lower the drinking age, people would just get the idea that if they cause more trouble they will get something legalized. I don't see any benefit to lowering the drinking age.

Please don't tell me that is a reference from the Simpsons.

No matter how much you zoom in it is still a rock formation.

I suspect that this is just a rock formation. Nothing more and nothing less.

This thread definitely belongs in the trash. Yes, but unexplained events do not warrant irrational thinking.

Here are some examples of the applied speculation: EDIT: A part of the notation is the arrows about the coordinates. These arrows indicate the limited direction due to the equations that exist within the Collatz-Matrix equation. This form of theoretical geometry is an indicator of a new way to interpret mathematical information. Since there are infinitely many dimensions that exist(geometrically), there are an infinite spectrum of levels of number systems that exist(though this is only a conjecture). I postulate that number systems geometrically fractalate as the amount of theoretical dimensions increases.

This is the equation I am referring to: [math]U = 4^{n}L + 4^{n} - 1[/math] As the variable L gets larger, so will the variable n over time. For example, once U equals 71 n must be increased to 2 in order to get more prime numbers than when it is equal to 1.