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Abstract
All 10 infinite prime containing arithmetical progressions 11n + k are considered for spacings between primes of identical form in blocks of 10n for 1 ≤ n ≤ 12 till one trillion. The minimum spacings between primes of same forms in these blocks; for very first and last pairs with such minimum spacings, the first prime candidate in the pairs are determined along with the number of times such minimum spacings between them occur in these blocks. Similar work for maximum spacings is also undertaken. Finally the comparison of number of primes with different digits in units place and tens & Units places is done.
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References
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Neeraj Anant Pande, “Analysis of Primes Less than a Trillion”, International Journal of Computer Science & Engineering Technology (ISSN: 2229-3345), Vol. 6, No. 06, pp. 332 – 341, 2015.
Neeraj Anant Pande, “Analysis of Primes in Arithmetical Progressions 3n + k up to a Trillion”, IOSR Journal of Mathematics, Volume 11, Issue 3 Ver. IV, pp. 72-85, 2015.
Neeraj Anant Pande, “Analysis of Primes in Arithmetical Progressions 4n + k up to a Trillion”, International Journal of Mathematics and Computer Applications Research, Vol. 5, Issue 4, pp. 1-18, 2015.
Neeraj Anant Pande, “Analysis of Primes in Arithmetical Progressions 5n + k up to a Trillion”, Journal of Research in Applied Mathematics, Volume 2, Issue 5, pp. 14-29, 2015.
Neeraj Anant Pande, “Analysis of Primes in Arithmetical Progressions 6n + k up to a Trillion”, International Journal of Mathematics and Computer Research, Volume 3, Issue 6, pp. 1037-1053, 2015.
Neeraj Anant Pande, “Analysis of Primes in Arithmetical Progressions 7n + k up to a Trillion”, International Journal of Mathematics and Its Applications, Accepted, 2016.
Neeraj Anant Pande, “Block-wise Distribution of Primes less than a Trillion in Arithmetical Progressions 8n + k”, IOSR Journal of Mathematics, Accepted, 2016.
Neeraj Anant Pande, “Spacings Between and Units & Tens Place Digits in Primes till One Trillion in Arithmetical Progressions 8n + k”, American International Journal of Research in Science, Technology, Engineering and Mathematics, Communicated, 2016.
Neeraj Anant Pande, “Block-wise Density Distribution of Primes less than a Trillion in Arithmetical Progressions 9n + k”, International Journal of Advances in Mathematics and Statistics, Communicated, 2016.
Neeraj Anant Pande, “Spacings Between and Units & Tens Place Digits in Primes till One Trillion in Arithmetical Progressions 9n + k”, International Journal of Mathematics and Statistics Invention, Communicated, 2016.
Neeraj Anant Pande, “Block-wise Density Distribution of Primes less than a Trillion in Arithmetical Progressions 10n + k”, Journal of Research in Applied Mathematics, Communicated, 2016.
Neeraj Anant Pande, “Spacings Between and Units & Tens Place Digits in Primes till One Trillion in Arithmetical Progressions 10n + k”, International Journal of Computer Science & Engineering Technology, Communicated, 2016.
Neeraj Anant Pande, “Block-wise Density Distribution of Primes less than a Trillion in Arithmetical Progressions 11n + k”, International Journal of Recent Research in Mathematics, Computer Science and Information Technology, Communicated, 2016.Neeraj Anant Pande, “Evolution of Algorithms: A Case Study of Three Prime Generating Sieves”, Journal of Science and Arts, Year 13, No.3(24), pp. 267-276, 2013.
Neeraj Anant Pande, “Algorithms of Three Prime Generating Sieves Improvised Through Nonprimality of Even Numbers (Except 2)”, International Journal of Emerging Technologies in Computational and Applied Sciences, Issue 6, Volume 4, pp. 274-279, 2013.
Neeraj Anant Pande, “Algorithms of Three Prime Generating Sieves Improvised by Skipping Even Divisors (Except 2)”, American International Journal of Research in Formal, Applied & Natural Sciences, Issue 4, Volume 1, pp. 22-27, 2013.
Neeraj Anant Pande, “Prime Generating Algorithms through Nonprimality of Even Numbers (Except 2) and by Skipping Even Divisors (Except 2)”, Journal of Natural Sciences, Vol. 2, No.1, pp. 107-116, 2014.
Neeraj Anant Pande, “Prime Generating Algorithms by Skipping Composite Divisors”, International Journal of Computer Science & Engineering Technology, Vol. 5, No. 09, pp. 935-940, 2014.
Neeraj Anant Pande, “Improved Prime Generating Algorithms by Skipping Composite Divisors and Even Numbers (Other Than 2)”, Journal of Science and Arts, Year 15, No.2(31), pp. 135-142, 2015.
Neeraj Anant Pande, “Refinement of Prime Generating Algorithms”, International Journal of Innovative Science, Engineering & Technology, Vol. 2 Issue 6, pp. 21-24, 2015.
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