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joan12
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is there any formula to compute the gaps between primes which could be true to all prime numbers?..thanks..please help!
Mentallic said:Knowing this would make you very rich, wouldn't it?
phinds said:How?
HallsofIvy said:There exist some monetary prizes for math papers but none of them would make you rich!
joan12 said:. .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.
SteveL27 said: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.
coolul007 said:The gaps are not necessarily between consecutive primes, they are arbitrarily large consecutive composites.
eddybob123 said: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
eddybob123 said: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
eddybob123 said: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
eddybob123 said: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
The purpose of finding gaps between primes is to understand the distribution of prime numbers and to potentially discover patterns or relationships between them. This can also aid in developing more efficient algorithms for finding prime numbers.
The gap between two consecutive prime numbers can be calculated by subtracting the smaller prime number from the larger one. For example, the gap between 5 and 7 is 2, while the gap between 11 and 13 is also 2.
There is currently no known formula for finding the gaps between primes. However, there have been several conjectures and theories proposed, such as the Goldbach's Conjecture and the Twin Prime Conjecture, which suggest that there may be patterns or relationships between prime numbers and their gaps.
Some tips for finding gaps between primes include using efficient prime number generation algorithms, such as the Sieve of Eratosthenes, and looking for patterns or relationships between prime numbers and their gaps. Additionally, studying previous research and conjectures on prime numbers can provide helpful insights in finding gaps between primes.
Yes, finding gaps between primes can have practical applications in cryptography, as prime numbers are often used to generate secure encryption keys. Additionally, understanding the distribution of prime numbers can have implications in fields such as computer science, number theory, and physics.