Prime numbers, other than the first one, are necessarily all odd numbers. One method for writing odd numbers is using the form 4k+1 or 4k+3
You are to make a table that tracks the amount of primes found in each form for n=100, 200, 300, 400, 500, 600, 1000. Also, make at least two conjectures about your findings.
I don't really get the question. How do i do this?
2007-04-01 08:32:48 · 4 answers · asked by fantasy24football 2 in Science & Mathematics ➔ Mathematics
I didn't ask for you to do my work.
I asked for help.
2007-04-01 08:39:47 · update #1
If you change "for" to "up to" you will understand
the question better.
Use the sieve of Eratosthenes to
make your tables and count how many
primes of each form there are in each range.
For example, you will find that there are exactly
24 odd primes less than 100. How many
are of the form 4k+1 and how many are of
the form 4k+3?
There are exactly 167 odd primes less than 1000.
How many of each type are there?
For conjectures, if we extended the
table indefinitely, how many of each
type would you expect?
This sounds like a good problem to
program for a computer!
Good luck!
2007-04-01 08:46:54 · answer #1 · answered by steiner1745 7 · 0⤊ 1⤋
7
2007-04-01 15:35:56 · answer #2 · answered by Anonymous · 0⤊ 5⤋
not all odd numbers are prime. consider 9, 15, 21, 27, 33, 35, 39, 45, 49...and that is just up until 50.
2007-04-01 15:37:07 · answer #3 · answered by spyderman1212 4 · 0⤊ 4⤋
Why should we do your work?
2007-04-01 15:36:04 · answer #4 · answered by zelrio28 3 · 0⤊ 3⤋