Do you think that the formula p=6n+1, where n, is a whole number, will produce a prime number more than 50% of the time? Give evidence to support your conclusion
2 answers
That sounds pretty advanced for an elementary class. One way you could start to solve this is to use a few different values for n and see what you get. Using n=1,2,3 we get p=7,13,19. Do that for a bunch of numbers (a spreadsheet program like Excel or Openoffice Calc will help with this) and see how many are prime.
Do you think that the formula p=6n+1, where n, is a whole number, will produce a prime number more than 50% of the time? Give evidence to support your conclusion
solution
n= 1,2,3
formula P=6N+1
Now put n=1
p=6(1)+1
p=6+1
p=7
now put n=2
P=6n+1
p=6(2)+1
p=12+1
p=13
and so on so forth
solution
n= 1,2,3
formula P=6N+1
Now put n=1
p=6(1)+1
p=6+1
p=7
now put n=2
P=6n+1
p=6(2)+1
p=12+1
p=13
and so on so forth