Math Is Fun Forum

Stangerzv

Member

Registered: 2012-01-30

Posts: 266

What is the largest Twin Primes of this form you can get?

Where P1, P2,...,Pn are the consecutive primes and Ps is the resulting Prime

Example:

Maybe this is the only prime of this form.

Last edited by Stangerzv (2013-04-15 03:56:41)

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What is the largest Twin Primes of this form you can get?

Hi;

How high did you go?

I went to

{2,3,5,7,...7919} with no new ones found.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Stangerzv

Member

Registered: 2012-01-30

Posts: 266

Re: What is the largest Twin Primes of this form you can get?

Hi bobbym

Kool, can you paste the number pairs?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What is the largest Twin Primes of this form you can get?

Hi;

What number pairs?

I can paste anything you want as long as you make it clear what you want.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Stangerzv

Member

Registered: 2012-01-30

Posts: 266

Re: What is the largest Twin Primes of this form you can get?

I see you went up to 7919 and found none. I thought you have found one, I think it would be impossible to find the others as the largest  twin primes which differ by 2 so far is having 200,700 digits

. So, finding a twin primes which differ by two and also a summation of consecutive multiplied primes  +- 1 could be impossible, I guess.

Last edited by Stangerzv (2013-04-15 14:14:01)

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What is the largest Twin Primes of this form you can get?

It might be impossible, I found the same result for your other thread. When researching your idea, I could find no mention of it in the literature.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Stangerzv

Member

Registered: 2012-01-30

Posts: 266

Re: What is the largest Twin Primes of this form you can get?

I love to play with the numbers and usually I don't claim it is mine until it is proven a novel idea. Because it is kinda frustration to know someone else has found it. I think the generalized formulation could be written as P1P2..Pn+-(Pn-1)=Ps, where all of them are prime.