## gaps between primes

is there any formula to compute the gaps between primes which could be true to all prime numbers?..thanks..please help!
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 we don't have a formula to generate prime numbers , research is going on , if we have such a formula that will also give the gap between two successive primes
 Recognitions: Homework Help Knowing this would make you very rich, wouldn't it?

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## gaps between primes

 Quote by Mentallic Knowing this would make you very rich, wouldn't it?
How?

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 Quote by phinds How?
I thought I read about it somewhere, but here's a link to such a claim that money is involved with finding large primes:

https://www.eff.org/awards/coop

If there exist formulae to calculate the gaps between primes, then surely they'd be able to find a lot more primes than just searching for all the Mersenne primes.
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 Recognitions: Gold Member One can create arbitrary large consecutive composite integers by the sequence: (k+1)! + 2, (k+1)! + 3, ...,(k+1)! + k, (k+1)! + k + 1 This sequence gives you k consecutive integers that are not prime

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 Quote by HallsofIvy There exist some monetary prizes for math papers but none of them would make you rich!
Well that's the first time I've seen anyone downsize the value of hundreds of thousands of dollars (millions if you include the Millenium prizes).
 . .Thank y0u guys f0r your kind replies. . .I just need s0me ideas to put on with my research paper. .Thanks for sharing, it would be a great help.
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 Quote by joan12 . .Thank y0u guys f0r your kind replies. . .I just need s0me ideas to put on with my research paper. .Thanks for sharing, it would be a great help.
Can you prove that there are arbitrarily large gaps between consecutive primes? In other words there's a gap of a million, a gap of a billion, a gap of a zillion ... you can make the gap between consecutive primes as large as you want. It's an elementary proof, no advanced math needed.

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 Quote by SteveL27 Can you prove that there are arbitrarily large gaps between consecutive primes? In other words there's a gap of a million, a gap of a billion, a gap of a zillion ... you can make the gap between consecutive primes as large as you want. It's an elementary proof, no advanced math needed.
The gaps are not necessarily between consecutive primes, they are arbitrarily large consecutive composites.
 Oh boy..the minute I saw this post I thought: Given two consecutive primes p1 and p2 the gap between then is |p1 - p2|. :-D

 Quote by coolul007 The gaps are not necessarily between consecutive primes, they are arbitrarily large consecutive composites.
Sorry, of course that's what I meant :-)

ps -- I see you mentioned this earlier.
 There should be a pattern. Primes are not multiples of 2, not multiples of 3, not multiples of 4, etc. Just take the numbers that are not multiples of anything

 Quote by eddybob123 There should be a pattern. Primes are not multiples of 2, not multiples of 3, not multiples of 4, etc. Just take the numbers that are not multiples of anything
Its easy to say "there should be". Try finding it!

 Quote by eddybob123 There should be a pattern. Primes are not multiples of 2, not multiples of 3, not multiples of 4, etc. Just take the numbers that are not multiples of anything
So...all we have to do is just take all of the prime numbers? Great.

Your statement isn't even true. Most prime numbers are not multiples of three...

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