I apologize for the naivete of my question, but I am not a mathematician. Having read a few books on Riemann and prime numbers, I have this question: Does...
I look in a different way at primes then members here do. I am not good in math, but thats not the reason. Its interesting to look at primes as a non...
Let be product = 2/3 * 7/5 * 11/13 * 19/17 * ... * p(n)/p(n+1) * p(n+3)/p(n+2) * ... I thought, product would be = 1, but obviously it is not. After 2*10^7 ...
... What's the size of Pn#? (See http://primes.utm.edu/glossary/page.php?sort=Primorial ) Therefore what's the expected density of primes around an arbitrary...
Hi, The following comments were published on the On-Line Encyclopedia of Integer Sequences : A000040 : prime numbers There is a unique decomposition of the...
Below is a little program for factoring prime pairs. It should be noted that it is quite slow and doesn't always work as it sometimes get's stuck in cycle....
I tried to submit the PRP 6*1*(2^216091 - 1 - 1) + 2^216091 - 1 + 2^(2*149), (digits: 65051), which is of the form p + *n*(p -1), but the submission was...
I found and corrected more errors w/the predicting Ii(x) function... and the last and best calculation for x= 1000 was... .... . .. .. .. .. . ...... 7918.5...
Did you know that the sum of the prime numbers less or equal x is asymptotically equal to the number of primes up to x²? Generally: sum(p^r)(p=2…x) ~...
Hello, Group. a new function Ii(x) for... predicting the xth prime number, accurately, given the number x: without proof, just an exercise in calculation. it...
Hello, Group. go to the primecalculations yahoo group to see some interesting formulas two years of hard work finally paid off... enjoy! Regards, Bill...
Does anyone have a list of base 3 primes or base 4 primes or where I could find one? I'm looking for primes of the form k*3^n+/-1 and k*4^n+/-1 for k < 2^32...
Compute all fractions F[1], F[2]....using only prime denominators and numerators for all primes up to prime=p and order the fractions. For example for p=7, the...
One way to describe this factorization approach is: Select a polynomial f(w) such that f(2) = z, the number to be factored. I chose the base 2 representation...
The following PRP's produce a prime number gap of 398,370 10^14173+347173 10^14173-51197 Milton L. Brown miltbrown AT earthlink.net [Moderators note:...
I think , the AP23 468395662504823 + 205619·23#·n from Jaroslaw Wroblewski is for n=1..23 (AP24 0..23) is a little bit larger than AP23 in list,or ? best...
That should have been to the list... ... AFAIK 1 + 2 + 2^2 equals 7... Maybe the original poster meant the sequence to start with something else than 1 + 2 +...
Could I trouble someone to post the following papers to the list? I don't have any access to these journals. Chen, J. R. "On the Representation of a Large...
Hi, Prof. CC. maximal gap either above or below a number x: without proof, probably already known... just a my idea of a postulate, axiom, etc. concerning gaps...
Hi, Group. O.K. only better than Li(x);forget trying to prove RH. just an exposition... don't get upset... easy Prof. Caldwell a new summation formula Ki(x)...
Hi, Group. I recently read about an attempt at proving something better than RH by an English professor in 1999. He tried to determine whether |pi(x) - Li(x)|...
Hello all: I have found this identity with floor function: 2Floor[(n-1)/2]+Sum[Floor[n/i]*Floor[n/(n-i)],{i,1,n-1}]= Sum[Floor[n/i]+Floor[n/(n-i)],{i,1,n-1}] ...
Pattern, Symmetry To all who don't see any pattern in the distribution of the prime numbers: 73 1/3 % of the integers are divisible by 2 or 3 or 5. Thus ...
