#Vatsan spiral

TL;DR

https://github.com/nrshrivatsan/vatsanspiral/tree/master/js#tldr

https://youtu.be/h-_yl3vPf6w

Resulting Patterns

• Below is a table with observations
• Prime Numbers in first column
• Prime Gaps Second column has the difference between the prime number in current row and the next row
• Prime Gap Diff Third column has the difference between the Prime Gaps ALWAYS 16
• Fourth column referes to the Wolfram Alpfa analysis of the series of prime-gaps (elegant expressions representing them)

Linear Prime Sequences of Vatsan Spiral

Prime Number	Prime Gaps (PG)	Primal-Gap Diff	Wolfram link for Prime Gap Diff
7079	482	16	http://www.wolframalpha.com/input/?i=482+498+514+530+546+562+578+594
7561	498	16
8059	514	16
8573	530	16
9103	546	16
9649	562	16
10211	578	16
10789	594
11383
3929	346	16	http://www.wolframalpha.com/input/?i=346+330+314
3583	330	16
3253	314
2939
5821	422	16	http://www.wolframalpha.com/input/?i=422+406+390+374
5399	406	16
4993	390	16
4603	374
4229
7933	510	16	http://www.wolframalpha.com/input/?i=510+526+542+558
8443	526	16
8969	542	16
9511	558
10069

Diagonal Prime Sequences of Vatsan Spiral

Prime Number	Prime Gaps (PG)	Primal-Gap Diff	Wolfram Alpha link
9007	544	**16**	http://www.wolframalpha.com/input/?i=544+560+576+592+608+624+640+656+672
9551	560	**16**
10111	576	**16**
10687	592	**16**
11279	608	**16**
11887	624	**16**
12511	640	**16**
13151	656	**16**
13807	672
14479
3391	336	**16**	http://www.wolframalpha.com/input/?i=336+352+368+384+400+416+432
3727	352	**16**
4079	368	**16**
4447	384	**16**
4831	400	**16**
5231	416	**16**
5647	432
6079

Significance

• From above patterns Diagonal and Linear, one could make sense that the Prime-gaps are interleaved by 16.
• Once a system of equations could be drafted to characterize the Prime Numbers and the Prime-gaps, elegant equations to predict prime numbers.
• May be in a remote way Reimann's hypothesis could be addressed

Motivation

==============

Prime numbers are 'Prime'. They piqued my interest.

Prime number generation is non-trivial. Sieves are a good help.

My favorite : Ulam Sprial [http://en.wikipedia.org/wiki/Ulam_spiral]

My contribution : Vatsan Spiral [http://thinkination.blogspot.com/2013/07/vatsan-spiral.html]

Vatsan Spiral QR

A pixel-ated version of Vatsan spiral! Look deep to view patterns in primes!

This repo in Git is about creating a simple approach towards understanding primes in a better way.

Request

All readers are requested to view the code, provide valuable comments either in my blog or here in git.

I will try my best to add as many features as possible.