This all examples are of pole point which are to be done exactly same way I
did in trailing mails.
By looking to the examples I can observe that pole point is not clear.
So I request to read pole point theory in my paper which I have send in
trailing mail.

On Fri, Mar 19, 2021 at 11:27 PM Chris Smith <[email protected]> wrote:

> It will help me see what your conditions are if you can show how the
> method works for 61, 109, 149 and 163.
>
> /c
>
> On Friday, March 19, 2021 at 12:45:53 PM UTC-5 [email protected] wrote:
>
>> I can understand that this idea has many condition(but always correct and
>> accurate)
>> But the main idea is to run this for first time and save the data so that
>> the run time is less
>> That's why I want to propose this idea in GSOC for better upgradation and
>> make a step ahead
>>
>> On Fri, Mar 19, 2021 at 11:08 PM Janmay Bhatt <[email protected]>
>> wrote:
>>
>>> This is mainly useful for encryption
>>> To generate larger unpredictable but same type number
>>> Also to send false data from machine when someone tries to hack the
>>> system
>>>
>>> On Fri, Mar 19, 2021 at 10:05 PM Chris Smith <[email protected]> wrote:
>>>
>>>> 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 [email protected]
>>>> 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 [email protected] 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 <[email protected]> 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 [email protected]
>>>>>>> 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 <[email protected]>
>>>>>>>> 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 <[email protected]>
>>>>>>>> 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 <
>>>>>>>> [email protected]> 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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