Primes: 2 + 3 = 5, 3 + 5 = 8 (almost prime), 5 + 7 = 12 (11, 13 are prime), 7 + 11 = 18 (close to a prime)...











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My apologies if this happens to be a duplicate. I have no understanding on how to effectively search for these things (I am a programmer with way too little understanding of math, besides graph theory that is). Nevertheless, I'm curious about the following.



Here are the first couple of prime numbers (list dump): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199.



I've noticed that when I sum two primes such that I traverse the list as follows:



2 + 3

3 + 5

5 + 7

7 + 11

11 + 13

13 + 17


The answer is always close to a prime (it either: is a prime, n-1 is a prime or n+1 is a prime). I don't know if this property holds forever but if it does, why?



As you can see by the way I'm asking this question: I'm interested in math but a bit scared (and unequipped) to gracefully deal with notation. So I'd really appreciate search terms that I could use on Google to look up all the definitions, the scavenger hunt for the right terms is real.



Thanks!






prime-numbers







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  • 4




    There are a lot of small primes...it's not a great idea to search for patterns only for very small primes. If, randomly, we look at $101+103=204$ we see that the nearest primes are $199,211$. Just for one example.
    – lulu
    Nov 18 at 11:02






  • 2




    @Melvin Roest: Is $7+11=24$?
    – Yadati Kiran
    Nov 18 at 11:03










  • @Yadati Kiran: Wow... sorry. That was a huge oversight.
    – Melvin Roest
    Nov 18 at 11:12












  • @lulu: I suppose that's the answer then. Don't look for patterns by using small primes.
    – Melvin Roest
    Nov 18 at 11:13








  • 1




    Yes, that's right. There are so many small primes that it is very easy to imagine all sorts of patterns.
    – lulu
    Nov 18 at 11:14















up vote
-2
down vote

favorite












My apologies if this happens to be a duplicate. I have no understanding on how to effectively search for these things (I am a programmer with way too little understanding of math, besides graph theory that is). Nevertheless, I'm curious about the following.



Here are the first couple of prime numbers (list dump): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199.



I've noticed that when I sum two primes such that I traverse the list as follows:



2 + 3

3 + 5

5 + 7

7 + 11

11 + 13

13 + 17


The answer is always close to a prime (it either: is a prime, n-1 is a prime or n+1 is a prime). I don't know if this property holds forever but if it does, why?



As you can see by the way I'm asking this question: I'm interested in math but a bit scared (and unequipped) to gracefully deal with notation. So I'd really appreciate search terms that I could use on Google to look up all the definitions, the scavenger hunt for the right terms is real.



Thanks!






prime-numbers







share|cite|improve this question




















  • 4




    There are a lot of small primes...it's not a great idea to search for patterns only for very small primes. If, randomly, we look at $101+103=204$ we see that the nearest primes are $199,211$. Just for one example.
    – lulu
    Nov 18 at 11:02






  • 2




    @Melvin Roest: Is $7+11=24$?
    – Yadati Kiran
    Nov 18 at 11:03










  • @Yadati Kiran: Wow... sorry. That was a huge oversight.
    – Melvin Roest
    Nov 18 at 11:12












  • @lulu: I suppose that's the answer then. Don't look for patterns by using small primes.
    – Melvin Roest
    Nov 18 at 11:13








  • 1




    Yes, that's right. There are so many small primes that it is very easy to imagine all sorts of patterns.
    – lulu
    Nov 18 at 11:14













up vote
-2
down vote

favorite









up vote
-2
down vote

favorite











My apologies if this happens to be a duplicate. I have no understanding on how to effectively search for these things (I am a programmer with way too little understanding of math, besides graph theory that is). Nevertheless, I'm curious about the following.



Here are the first couple of prime numbers (list dump): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199.



I've noticed that when I sum two primes such that I traverse the list as follows:



2 + 3

3 + 5

5 + 7

7 + 11

11 + 13

13 + 17


The answer is always close to a prime (it either: is a prime, n-1 is a prime or n+1 is a prime). I don't know if this property holds forever but if it does, why?



As you can see by the way I'm asking this question: I'm interested in math but a bit scared (and unequipped) to gracefully deal with notation. So I'd really appreciate search terms that I could use on Google to look up all the definitions, the scavenger hunt for the right terms is real.



Thanks!






prime-numbers







share|cite|improve this question















My apologies if this happens to be a duplicate. I have no understanding on how to effectively search for these things (I am a programmer with way too little understanding of math, besides graph theory that is). Nevertheless, I'm curious about the following.



Here are the first couple of prime numbers (list dump): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199.



I've noticed that when I sum two primes such that I traverse the list as follows:



2 + 3

3 + 5

5 + 7

7 + 11

11 + 13

13 + 17


The answer is always close to a prime (it either: is a prime, n-1 is a prime or n+1 is a prime). I don't know if this property holds forever but if it does, why?



As you can see by the way I'm asking this question: I'm interested in math but a bit scared (and unequipped) to gracefully deal with notation. So I'd really appreciate search terms that I could use on Google to look up all the definitions, the scavenger hunt for the right terms is real.



Thanks!






prime-numbers




prime-numbers






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share|cite|improve this question













share|cite|improve this question




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edited Nov 18 at 11:12

























asked Nov 18 at 10:45









Melvin Roest

1125




1125








  • 4




    There are a lot of small primes...it's not a great idea to search for patterns only for very small primes. If, randomly, we look at $101+103=204$ we see that the nearest primes are $199,211$. Just for one example.
    – lulu
    Nov 18 at 11:02






  • 2




    @Melvin Roest: Is $7+11=24$?
    – Yadati Kiran
    Nov 18 at 11:03










  • @Yadati Kiran: Wow... sorry. That was a huge oversight.
    – Melvin Roest
    Nov 18 at 11:12












  • @lulu: I suppose that's the answer then. Don't look for patterns by using small primes.
    – Melvin Roest
    Nov 18 at 11:13








  • 1




    Yes, that's right. There are so many small primes that it is very easy to imagine all sorts of patterns.
    – lulu
    Nov 18 at 11:14














  • 4




    There are a lot of small primes...it's not a great idea to search for patterns only for very small primes. If, randomly, we look at $101+103=204$ we see that the nearest primes are $199,211$. Just for one example.
    – lulu
    Nov 18 at 11:02






  • 2




    @Melvin Roest: Is $7+11=24$?
    – Yadati Kiran
    Nov 18 at 11:03










  • @Yadati Kiran: Wow... sorry. That was a huge oversight.
    – Melvin Roest
    Nov 18 at 11:12












  • @lulu: I suppose that's the answer then. Don't look for patterns by using small primes.
    – Melvin Roest
    Nov 18 at 11:13








  • 1




    Yes, that's right. There are so many small primes that it is very easy to imagine all sorts of patterns.
    – lulu
    Nov 18 at 11:14








4




4




There are a lot of small primes...it's not a great idea to search for patterns only for very small primes. If, randomly, we look at $101+103=204$ we see that the nearest primes are $199,211$. Just for one example.
– lulu
Nov 18 at 11:02




There are a lot of small primes...it's not a great idea to search for patterns only for very small primes. If, randomly, we look at $101+103=204$ we see that the nearest primes are $199,211$. Just for one example.
– lulu
Nov 18 at 11:02




2




2




@Melvin Roest: Is $7+11=24$?
– Yadati Kiran
Nov 18 at 11:03




@Melvin Roest: Is $7+11=24$?
– Yadati Kiran
Nov 18 at 11:03












@Yadati Kiran: Wow... sorry. That was a huge oversight.
– Melvin Roest
Nov 18 at 11:12






@Yadati Kiran: Wow... sorry. That was a huge oversight.
– Melvin Roest
Nov 18 at 11:12














@lulu: I suppose that's the answer then. Don't look for patterns by using small primes.
– Melvin Roest
Nov 18 at 11:13






@lulu: I suppose that's the answer then. Don't look for patterns by using small primes.
– Melvin Roest
Nov 18 at 11:13






1




1




Yes, that's right. There are so many small primes that it is very easy to imagine all sorts of patterns.
– lulu
Nov 18 at 11:14




Yes, that's right. There are so many small primes that it is very easy to imagine all sorts of patterns.
– lulu
Nov 18 at 11:14















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