Prime Definition and 777 Threads

Nommos Prime (Dogon) Gets "Another One Right On (or "UP") The Nose" Well, thanks to the most diligent (and rather covert, perhaps even illegal) tracking by me, Muster Mark (3) and especially Sven, it has been determined that Mars Express has “passed over” the Face on 3 separate periapsis...

Hi, Let's talk about Prime Numbers. Still an unsolved mystery, I don't understand why it's still unsolved. Has anyone discovered why its hard to find a pattern? Or is this a silly question?

Such as sqrt 5: (2.236067977...) Start with the fractional seeds 2/1, 9/4,... New members are generated (both numerators and denominators) by the rule new member = 4 times the current plus the previous. Which generates the progrssion 2/1, 9/4, 38/17, 161/72, 682/305, 2889/1292...

Here is a cool article about a pattern to the procession of prime numbers: http://www.nature.com/nsu/030317/030317-13.html Enjoy! :smile:

Is there any good reason to define 1 as a non-prime number?

I was told that all prime numbers (except 2 and 3) could be expressed as 6n +- 1 as long as the result divided by 5 is not another integer. Is this true? Is there a proof for this (hopefully if possible not going much beyond basic calc, I am only in calc 1).

M^2 is your answer. Where M = largest known prime :-)

How can I prove that the sum of two odd primes will never result in a prime? Would this be proof?: Proof by contradiction: The sum of two odd primes will sometimes result in a prime. This is true because 2 + 3 = 5, which is a prime. So since this is true, does this proof the...

I have to prove that if ab is divisible by the prime p, and a is not divisible by p, then b is divisible by p. In order to prove this, I have to show (a,p)=1. I am not sure what this statement means. Then I am supposed to use the fact that 1=sa + tp when s,t are elements of the set of...

I've heard ppl say it is and it isn't, so is it a prime number? :P

Has anyone ever tried to make prime numbers into some kind of geometric equivalence? Such that prime numbers can be predicted through geometry? I was thinking of a universe beginning with one 3D unit, and evolving from that unit. That all subsequent units would have a relation to the first...

Does it make sense to Fourier-analyse pi(n) for finding patterns toward a comprehensive prime-predictive formula?

Hey, check this out, the newest prime number found today! http://story.news.yahoo.com/news?tmpl=story&cid=528&ncid=528&e=10&u=/ap/20031211/ap_on_hi_te/biggest_prime_number

This is strange... I can sort of proove this. ( n(1/2 + 1/3 + ... + 1/pa) - (1/3 + 2/5 + ... + (a-1)/pa) minus all whole queries ) <= ½ --> n = p If it's true and I was the first to find the serie; can I name it after me? In that case i would like to name my equation the...

Yes, ofcourse, a primenumber is a number that can only be divided with itself and 1. But what do you call a query that has only got two different prime factors? 9 has got the factors 9, 3 and 1. But has only two different prime factors. 9 = 3*3, so the query has got the prime factors 3 and...

Consider all primes 2, 3, 5, 7, 11, 13... and their products such that 2x3=6, 2x3x5=30, 2x3x5x7=210, 2x3x5x7x11=2310, 2x3x5x7x11x13=30030... Is this latter series used in number theory? Likewise, can one determine lim (2+3+5+7+11+13...pn-1)/(2+3+5+7+11+13...pn) n-->[oo]...

I've been Googleing for days now and haven't found a suitable answer to a question I have so I'll try it here. How exactly would knowing the distribution of prime numbers assist one in integer factorization?

Determine the ones place value of the product of the first 1000 prime numbers.

Hi everyone, I'm new here. I have an interesting conjecture I have been trying to prove for some time. I've tried it out on a couple of forums, but perhaps some of you can help. Please make whatever comments you can (good or bad) and all input is welcome. I will give this conjecture in...

Hi everyone, I'm new here. I have an interesting conjecture I have been trying to prove for some time. I've tried it out on a couple of forums, but perhaps some of you can help. Please make whatever comments you can (good or bad) and all input is welcome. I will give this conjecture in...

Does exist any proof that prime numbers cannot be generated sequentially without jump across any one? And which is cardinality of prime numbers set? Is the set "the smallest" infinite set?

Problem: Prove that all odd numbers are prime. Mathematician: 3 is prime, 5 is prime, 7 is prime, the rest follows from induction. Physicist: 3 is prime, 5 is prime, 7 is prime, 9...that's probably an experimental error..., 11 is prime, 13 is prime. The law of nature in question is...

how can i proove or disproove that the sum of a prime numbers which equals to other prime numbers is a prime number? i hope the question has been comprehended.

"A pair of mathematicians has made a breakthrough in understanding so-called prime numbers, numbers that can only be divided by themselves and one." "Other mathematicians have described the advance as the most important in the field in decades." For the full BBC article...

http://www.nature.com/nsu/030317/030317-13.html

SETI's search for alien contact includes detecting intelligent analog transmissions and also those carrying sequences of prime numbers signifying life elsewhere in the Galaxy. What is the relative ease with which SETI can discern rational analog vs prime number transmissions? Is it a waste...

[SOLVED] Are prime numbers infinite? Are prime numbers infinite[?] [?] [?]