The method is useful if, knowing 4 primes you can, with a small number of 
test, guarantee another prime. I suspect that this is not the case and that 
we are seeing the "law of small numbers 
<https://en.wikipedia.org/wiki/Law_of_small_numbers#:~:text=%20Law%20of%20small%20numbers%20may%20refer%20to%3A,small%20numbers%0AThe%20tendency%20for%20an%20initial...%20More%20>"
 
give false assurance, but I would love to be wrong.

/c

On Friday, March 19, 2021 at 8:55:48 AM UTC-5 nijso.be...@gmail.com wrote:

> How is this method useful if it doesn't uniquely generate a prime? How do 
> you know if a generated number is prime or not? Is the goal of the method 
> to give you prime numbers or just a bunch of numbers that may or may not be 
> prime? How is this better than just having the series 1,2,3,4,5,... :
> 1(not prime), 2(prime), 3(prime), 4(not prime), 5(prime), ...
>
> Best regards,
> Nijso
> On Friday, 19 March 2021 at 05:14:37 UTC+1 jrbhat...@gmail.com wrote:
>
>> for 29 first section will give 58-23=35(not prime)
>> second section gives 58-19=39(not prime)
>> third section gives 58-polepoint
>> where polepoints are 3 and 5 as prime gaps for 29 are 2 and 6
>> Therefore 58-3=55(not prime) but 58-5=53 is prime.
>>
>> similarly for 41 first two cases will not give primes but in polepoint 
>> polepoint will be 1 and 3 as gaps are 2 and 4
>> so for 3rd section 2*41 - 1 = 81(not prime)
>> but 2*41 - 3 = 79 (prime)
>>
>> same for 43,
>> pole points will be 1 and 3 as gaps are 2 and 4
>> so for 3rd section
>> 2*43 - 1 = 85(not prime)
>> but 2*43 - 3 = 83(prime)
>>
>> On Thu, Mar 18, 2021 at 9:45 PM Chris Smith <smi...@gmail.com> wrote:
>>
>>> What would be the result of starting with primes 29, 41 or 43?
>>>
>>> /c
>>>
>>> On Wednesday, March 17, 2021 at 7:33:38 PM UTC-5 asme...@gmail.com 
>>> wrote:
>>>
>>>> I still don't understand and I am not able to follow the paper either. 
>>>> Can you give an example of what the function call would look like for 
>>>> your example? Like yourfunction(x) == y. 
>>>>
>>>> On Wed, Mar 17, 2021 at 4:47 PM Janmay Bhatt <jrbhat...@gmail.com> 
>>>> wrote: 
>>>> > 
>>>> > Surely I can give an example of a function by taking a prime number 
>>>> as 19 for base. 
>>>> > I am attaching my paper herewith for reference, in which you may 
>>>> refer function 
>>>> > Prime gaps for 19 are 2 and 4 (i.e our a and b in pole point section) 
>>>> > According to the function we have 2(19) - 17 = 21 (not prime) 
>>>> > now second part, 
>>>> > 2(19) -13 = 25 (not prime) 
>>>> > now third part, 
>>>> > 2(19)-1 = 37 (prime) 
>>>>
>>>> It's known that there exists a prime between any x and 2x, but where 
>>>> do 17, 13, an 1 come from? And how does 4 relate to anything? 
>>>>
>>>> > 
>>>> > So we generated a prime from a prime which can be started from 2 
>>>> > and recursively we will get a series of primes for a specific base. 
>>>> > 
>>>> > Then with the same notations we have addition formulation for series 
>>>> and nth term formulation. 
>>>> > 
>>>> > Now to make this function in python for sympy I am still trying to 
>>>> make the function complete 
>>>> > for which I thought of GSOC. 
>>>>
>>>> GSoC projects are typically larger in scope than a single function, 
>>>> unless the algorithm required for the single function is very complex. 
>>>> But I still don't understand what this function of yours even is or 
>>>> what use it would have. Is it an existing function or algorithm in the 
>>>> literature (outside of your paper)? Is the purpose just to generate 
>>>> prime numbers? SymPy has the function randprime(), although I'm sure 
>>>> the methods used by it could be more efficient for large primes. 
>>>>
>>>> Aaron Meurer 
>>>>
>>>> > Kindly guide me for this. 
>>>> > 
>>>> > On Thu, Mar 18, 2021 at 1:30 AM Aaron Meurer <asme...@gmail.com> 
>>>> wrote: 
>>>> >> 
>>>> >> I'm having a difficult time understanding the paper you linked to. 
>>>> Can 
>>>> >> you give an example input and output for the function you are 
>>>> >> suggesting? 
>>>> >> 
>>>> >> Aaron Meurer 
>>>> >> 
>>>> >> On Mon, Mar 15, 2021 at 12:44 PM Janmay Bhatt <jrbhat...@gmail.com> 
>>>> wrote: 
>>>> >> > 
>>>> >> > Hello there, 
>>>> >> > I want to add the function for prime number generation which 
>>>> >> > provides the series of primes and prime number. 
>>>> >> > You might think how do we get series of prime numbers? 
>>>> >> > That's what my topic was... 
>>>> >> > I have my published research in IJMTT of prime conjecture which 
>>>> >> > you can see here. 
>>>> >> > This proves that primes are not random but has series which 
>>>> greatly 
>>>> >> > helps for science and scientists. 
>>>> >> > Please guide for same. 
>>>> >> > 
>>>> >> > -- 
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>>>>  
>>>>
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