A study of android calculator based on Lemoine's conjecture
Abstract
Lemoine's conjecture is an unsolved problem in number theory. It puzzled mathematicians for a hundred and twenty three years. Lemoine's conjecture is as follows: All odd integers greater than five can be represented as the sum of an odd prime and an even semiprime (a natural number that is the product of two (not necessarily distinct) prime numbers). Expressed algebraically: 2n + 1 = p + 2q always has a solution in primes p and q (not necessarily distinct) where n > 2 such as 23 = 13 + 2 . 5 = 17 + 2 . 3 = 19 + 2 . 2, we say the 3 has 3 ways to be present as p + 2q, which we called Lemoine's conjecture. The most common calculator provided which has arithmetic and logical functions, did not offer a special operation such as Lemoine calculator. Base on this paper and viewpoint, the authors will design this calculator when researchers want to work on the conjecture.
- Publication:
-
Mathematical Methods and Computational Techniques in Science and Engineering II
- Pub Date:
- July 2018
- DOI:
- 10.1063/1.5045419
- Bibcode:
- 2018AIPC.1982b0013H