```Date: Aug 15, 2007 11:23 PM
Author: Randy Poe
Subject: Re: Largest primeproduct with 2 as factor?

On Aug 15, 7:00 pm, jonas.thornv...@hotmail.com wrote:> On 16 Aug, 00:42, Randy Poe <poespam-t...@yahoo.com> wrote:>>>> > On Aug 15, 6:36 pm, jonas.thornv...@hotmail.com wrote:>> > > On 16 Aug, 00:18, stephane.fr...@gmail.com wrote:>> > > > On Aug 15, 3:03 pm, jonas.thornv...@hotmail.com wrote:>> > > > > On 16 Aug, 00:00, stephane.fr...@gmail.com wrote:>> > > > > > On Aug 15, 2:53 pm, jonas.thornv...@hotmail.com wrote:>> > > > > > > I do not know much math, i just wonder if there is a largest> > > > > > > primeproduct with two as one of the factors.> > > > > > > Same i wonder for three.>> > > > > > > If not..., but if so is it true for any primefactor used in> > > > > > > primeproduct that they will have a range?> > > > > > > Do every factor have a range in primeproducts?>> > > > > > > A pure guess tell me that the numbers of primeproducts with 2 or 3> > > > > > > used as one of the factor is infinite but i am not sure.>> > > > > > > JT>> > > > > > You guess is right. This is because there is infinity prime number> > > > > > then if N is the bigger prime product, you will find A your biggest> > > > > > prime with A = N/2. You can find a prime number A' with A'> A, then N'> > > > > > = A x 2 > N. Same rules with 3 or any prime numbers.>> > > > > > SF>> > > > > Could anyone tell me the biggest "known" primeproduct that has two as> > > > > factor?- Hide quoted text ->> > > > > - Show quoted text ->> > > > Well dude , you can suppose you got one and then prove that you can a> > > > bigger one .- D?lj citerad text ->> > > > - Visa citerad text ->> > > Ok an easy question i do not have any primeproduct algorithm going, so> > > i would be interested in a list of primeproducts less than a million> > > that has two as factor?>> > > Can not be that many or?>> > > If not that many would be nice for 10 000 000 and for 100 000 000?>> > > Well if already a million would have couple of 100 i am not that> > > interested in the bigger numbers.>> > What do you mean by "primeproduct"? Do you mean any> > number that has 2 as a factor?>> > For instance, does 2^20 = 1048576 qualify as a "primeproduct"?>> > If you just mean any number that has two as a factor,> > these are called "even numbers", and any number that> > ends in 0, 2, 4, 6, or 8 is such a number. Thus, here> > is a large even number:  7924720394820394812476>> Sorry i am tired,  it is of course> 6=2*3,10=2*5,14=2*7,22=2*11,26=2*13,34=2*17,38=2*19 and so son.>                      and for three> 6=3*2,15=3*5,21=3*7,33=3*11,39=3*13....>> So forget my question>Ah. Well, these days primes far > 10^6 are easilyturned out in milliseconds by computer software.You might be interested in this page:http://primes.utm.edu/nthprime/index.php#nthNot exactly what you're looking for, but if youtry various values of n you'll find a prime of thesize you want. Then obviously just multiply by 2.For instance, the billionth prime is:22,801,763,489         - Randy
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