References
- Keng H.L., Introduction to Number Theory, Springer-Verlag Berlin Heidelberg, Germany, 1982.
- Andrews G.E., Number Theory, W.B. Saunders Co., Dover Publication Inc., New York, USA, 1971.
- Halberstam H., Richert H.E., Sieve Methods, Dover Publications, USA, 2011.
- Caragiu M., Sequential Experiments with Primes, Springer, USA, 2017.
- Stepney S., Euclid's proof that there are an infinite number of primes,
https://www-users.cs.york.ac.uk/susan/cyc/p/primeprf.htm , Accessed: September 3, 2022. - Uselton S.C., A study of semiprime arithmetic sequences, Honors Theses, 67,
https://repository.belmont.edu/cgi/viewcontent.cgi?article=1081&context=honors_theses , Accessed: September 7, 2022. - Faber X., Granville A., Prime factors of dynamic sequences, Journal Für Die Reine und Angewandte Mathematik, 661, 189–214, 2011.
- Numbers Aplenty, Semiprimes,
https://www.numbersaplenty.com/set/semiprime/ , Accessed: September 9, 2022. - Borne K., Abdenim O.H., 20 Best prime numbers books of all time,
https://bookauthority.org/books/best-prime-numbers-books . - Niven I., Zuckerman H.S., Montgomery H.L., An Introduction to the Theory of Numbers, John Wiley & Sons, USA, 1991.
- Crandall R., Pomerance C., Prime Numbers A Computational Perspective (2nd Ed.), Springer, USA, 2005.
- Zhang Y., Bounded gaps between primes, Annals of Mathematics, 179(3), 1121–1174, 2014.
- Pietro G.D., Numerical analysis approach to twin primes conjecture, Notes on Number Theory and Discrete Mathematics, 27(3), 175–183, 2021.
- Villegas F.R., Experimental Number Theory, Oxford University Press, UK, 2007.
- Hamiss K., A simple algorithm for prime factorization and primality testing, Journal of Mathematics, 2022(ID:7034529), 1–10, 2022.
- Hang P., Sun Z., Wang S., A pattern of prime numbers and its application in primality testing, Journal of Physics: Conference Series, 2381, 2022 6th International Conference on Mechanics, Mathematics and Applied Physics (ICMMAP 2022), 19–21 August 2022, Qingdao, China.
- Riesel H., Prime Numbers and Computer Methods for Factorization (2nd Ed.), Boston, MA: Birkhäuser, Switzerland, 2012.
- Goudsmit S.A., Unusual prime number sequences, Nature, 214, 1164, 1967.
- Engelsma T.J., k-tuple permissible patterns,
http://www.pi-e.de/ktuplets.htm , Accessed: September 12, 2023. - Ericksen L., Primality Testing and Prime Constellations, Siauliai Mathematical Seminar, 3(11), 61–77, 2008.
- McEvoy M., Experimental mathematics, computers and the a priori, Synthese, 190, 397–412, 2013.
- Experimental mathematics,
https://en.wikipedia.org/wiki/Experimental_mathematics , Accessed: October 5, 2022. - Weisstein E., Twin primes,
https://mathworld.wolfram.com/TwinPrimes.html , Accessed: September 12, 2023. - Goldston D.A., Pintz J., Yildirim C.Y., Primes in tuples I, Annals of Mathematics, 170(2), 819–862, 2009.
- Goldston D.A., Pintz J., Yildirim C.Y., Primes in tuples II, Acta Mathematica, 204(1), 1–47, 2010.
- Rokne J., Some observations on prime pairs, quadruples and octuples, IEEE Canadian Review, 92, 8–11, 2023.
- Sato N., Number Theory,
https://artofproblemsolving.com/articles/files/SatoNT.pdf , Accessed: September 10, 2023.