6*(4x+1)+1
 

is there a pattern that works for 4x+1 in this equation such that it's prime all together? if so I think i have a way to use it to find mersenne primes. I realize this gives the 24x+7 but I found a sequence that if a rule can be applied to it's members may help find mersennes.

[quote=science_man_88;220179]is there a pattern that works for 4x+1 in this equation such that it's prime all together? if so I think i have a way to use it to find mersenne primes. I realize this gives the 24x+7 but I found a sequence that if a rule can be applied to it's members may help find mersennes.[/quote]

Are you saying that 24x+7 is always prime, for any x? This is trivially not true, just take x = 7, or x = 7k, for any nonzero integer k. Then 7 | 24x and 7 | 7, hence 7 | 24x + 7, and so 24x + 7 is not prime.

Were you thinking about something else here?

[QUOTE=NBtarheel_33;220186]Are you saying that 24x+7 is always prime, for any x? This is trivially not true, just take x = 7, or x = 7k, for any nonzero integer k. Then 7 | 24x and 7 | 7, hence 7 | 24x + 7, and so 24x + 7 is not prime.

Were you thinking about something else here?[/QUOTE]

I'm not saying 24x+7 is prime for all x I'm asking for a pattern so i can apply something I found to possibly work with the sequences A002450 and and
A146768 I think trying to figure something out.

Basically what I see is if A139483 has a number 1 less than a member of A002450 then take the n value used to find it and that's a k value for A146768

Sometimes we see patterns where none exists.

Chasing patterns, that in all likelihood aren't there, is a good way to [strike]waste[/strike] pass time.

[QUOTE=retina;220193]Sometimes we see patterns where none exists.

Chasing patterns, that in all likelihood aren't there, is a good way to [strike]waste[/strike] pass time.[/QUOTE]

beats being on facebook etc. all day I'd rather do math some days

[quote=science_man_88;220191]I'm not saying 24x+7 is prime for all x I'm asking for a pattern so i can apply something I found to possibly work with the sequences A002450 and and
A146768 I think trying to figure something out.[/quote]
If your asking for a pattern in primes then think again. To my knowledge there is no known pattern in primes for any sequence.
24x+7 does seem like it is prime for lots of values but this is a combination of the fact that these numbers can't be divisible by 2 or 3 and the law of small numbers.

can we come up with a easy way to figure out if 24* (A002450-1)+7 is prime ? could there be a simple way if so then we can find the k just as easy for mersenne primes.

[QUOTE=science_man_88;220191]... I'm asking for a pattern so i can apply something I found to possibly work with ...[/QUOTE]

Here are some patterns which fit your critieria. I'm particularly fond of the third one.

pattern 1:

[CODE]jbaoisdhrelkanesadb889adbqerb3e32jbaoisdhrelkanesadb889adbqerb3e32jbaoisdhrelkanesadb889adbqerb3e32jbaoisdhrelkanesadb889adbqerb3e32jbaoisdhrelkanesadb889adbqerb3e32jbaoisdhrelkanesadb889adbqerb3e32...[/CODE]

pattern 2:
[CODE]99999999999999999999999999999999999999999999999999999999999999999999999999999999999...[/CODE]

pattern 3:

look unless you can help me with the pattern i later listed leave me alone I'm actually trying something.

It's obvious: pattern is jbaoisdhrelkanesadb889adbqerb3e32

Another pattern:

Read about [url=http://en.wikipedia.org/wiki/Ulam_spiral]Ulam Spiral[/url]. There you can see a line with represents the primes of n=4x^2-2x+41.
But this is only true for small values and not for all of them.
It's only a special representation of the higher density of primes at low n.

Don't talk about a pattern, if it's only true for the first 5 numbers!

Read about Law of small numbers.
Try higher values of your 'patterns' and you will see there is none.

In 200 years hundreds of mathmaticians searched for such patterns and found none for Mersenne primes! There is none!