Represented media
The display medium addresses the challenge of visualizing prime number truths by incorporating a prime number arithmetic unit and display device, enhancing understanding and exploration of number theory concepts.
Patent Information
- Application Number
- JP2025000421U
- Authority / Receiving Office
- JP · JP
- Patent Type
- Utility models
- Current Assignee / Owner
- Filing Date
- 2025-02-10
- Publication Date
- 2025-06-12
- Estimated Expiration
- 2035-02-10
AI Technical Summary
Existing technologies lack an effective display medium for elucidating the truth about prime numbers, making it difficult to visualize and understand the underlying principles and relationships in number theory.
A display medium, such as a printed or image-based medium, that includes a prime number arithmetic unit and a display device capable of determining prime numbers, twin primes, and the composition of non-prime numbers, along with a memory for storing prime number table information.
Enables clear visualization of prime number relationships, facilitates the understanding of complex number theory concepts, and provides an interactive tool for exploring prime numbers and their properties.
Smart Images
Figure 0003251616000001_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to a display medium. In particular, it relates to a display medium for displaying information on the elucidation of the truth about prime numbers.
Background Art
[0002] The inventor published "Elucidation of the Truth about Prime Numbers" in Prior Art Document 1. Number theory is a well-known discipline with the longest history and the most unsolved problems. Through research with unique thinking, the inventor arrived at a continuous vertical list expansion and finally elucidated the truth about the whole picture of prime numbers. In particular, with the discovery of ternary data and the prime number appearance rate, the following major problems could be easily solved. That is, the following points were achieved. (1) The truth of Ulam's spiral became clear at a glance. (2) The truth of why prime numbers are adjacent to multiples of 3 could be easily confirmed. (3) The proof of Legendre's conjecture was also simple. (4) The reason why the Riemann hypothesis problem is a difficult problem could also be identified. (5) Establishment of a calculation formula for obtaining accurate results and verification calculations.
Prior Art Documents
Non-Patent Documents
[0003]
Non-Patent Document 1
Summary of the Invention
Problems to be Solved by the Invention
[0004] The present invention provides a display medium for displaying the elucidation of the truth about prime numbers.
Means for Solving the Problems
[0005] The display medium is a printed medium or an image medium (such as display on a monitor or a projector) that displays information on the elucidation of prime numbers. The monitor is, for example, a liquid crystal monitor, an organic EL monitor, etc. In the elucidation of prime numbers, for example, it is possible to realize a list in which the background information of the numerical values is clearly visible with respect to the elucidated truth.
[0006] The display device (1) for displaying information on the elucidation of prime numbers is a thin (for example, 10 cm or less in thickness) rectangular or circular housing (10) made of plastic or metal, an input interface composed of a switch, a wireless remote control (20), a voice input device, or a touch panel installed on the upper surface, front surface, or side surface of the housing (10), a prime number arithmetic unit (42) that obtains results related to prime numbers based on the numbers input by the input interface, and an output interface composed of a thin (for example, 5 cm or less in thickness) monitor (30), a thin touch panel, or a projector for displaying the results related to prime numbers obtained by the prime number arithmetic unit (42).
[0007] The prime number arithmetic unit (42) may perform an operation for determining whether the number input by the input interface is a prime number and / or whether it is a twin prime number.
[0008] When the prime number arithmetic unit (42) determines that the input number is a prime number, it may also obtain a plurality of consecutive odd numbers in two directions of plus and minus centered on that numerical value.
[0009] When the prime number arithmetic unit (42) determines that the input number is not a prime number, it may also determine how the non-prime number is composed of combinations of two numbers as products or combinations of two numbers as products of integer multiples.
[0010] The display device (1) It is provided with a memory (40) for storing prime number table information obtained by expanding prime numbers. The prime number operation unit (42) may perform operations using the prime number table information stored in the memory (40).
[0011] The display device (1) is provided with communication means (44) for communicating with a memory (50) on the cloud that stores prime number table information obtained by expanding prime numbers. The prime number operation unit (42) may perform operations using the prime number table information stored in the memory (50).
[0012] The prime number operation unit may be provided with a memory for storing a program showing an operation procedure for obtaining prime numbers, and a processor for executing the program read from the memory.
[0013] The prime number operation unit may be provided with a dedicated electronic circuit or firmware for executing an operation procedure for obtaining prime numbers.
[0014] The print medium for displaying information on the true nature of prime numbers displays one or more types of information among prime number table information obtained by expanding prime numbers, information on twin prime numbers, information on a plurality of consecutive odd numbers in two directions of plus and minus centered on prime numbers, and information on whether non-prime numbers are composed of combinations of products of two numbers or combinations of products of two numbers with integer multiples. Examples of the print medium include paper, fabric, cloth products, and clothing products that display information on the true nature of prime numbers.
Brief Description of the Drawings
[0015]
Figure 1
Figure 2A
Figure 2B
Figure 3A
Figure 3B
Figure 3C
Figure 4A
Figure 4B
Mode for Carrying Out the Invention
[0016] (Display device) The display device 1 shown in FIG. 1 includes a housing 10, a monitor 30 provided in the housing 10, and legs 12 that support the housing 10. The housing 10 and the legs 12 are composed of a plastic member and a metal member.
[0017] The monitor 30 is composed of a liquid crystal display device, an organic EL display device, etc. The monitor 30 is, for example, a thin type with a thickness of 5 cm or less.
[0018] The wireless remote control 20 can turn the power of the display device 1 on / off and input data. The signal sent from the wireless remote control 20 is received by a receiving unit (not shown) of the display device 1, and the functions of the display device 1 are realized by various control units (not shown).
[0019] FIG. 2A shows some functional elements of the display device 1. The memory 40 stores prime number table information obtained by expanding prime numbers. The prime number operation unit 42 obtains a result related to prime numbers based on the number input by the wireless remote control 20, which is an input interface. The prime number operation unit 42 performs operations using the prime number table information stored in the memory 40 to determine whether the number is a prime number.
[0020] FIG. 2B shows some functional elements of the display device 1 according to another embodiment. The memory 50 on the cloud stores prime number table information with prime numbers expanded. The prime number table information is sent by the communication means 54 to the communication means 44 of the display device 1 and stored in the memory 40. The prime number operation unit 42 performs an operation using the prime number table information stored in the memory 40 to determine whether a number is a prime number or not.
[0021] (Prime number table information) A prime number is a number among natural numbers that has no divisors other than 1 and itself. Figures 3A to 3C show an example of a continuous vertical list expansion as prime number table information. In the "A column", odd numbers are arranged in order. In the "B row", prime numbers are arranged in order. "KS order in" numbers the prime numbers by row. "KS order out" numbers the prime numbers by column in the same way as "KS order in". The "C item" shows the result of dividing (dividing) the numbers in the A column (odd numbers) by the numbers in the B row (prime numbers). "Twin primes" refer to each prime number that constitutes a pair of two prime numbers with a difference of 2.
[0022] (Prime number determination) Figure 4A shows an example of prime number determination. On the monitor 30, "Enter number" and "Prime number determination result" in Figure 4A are displayed. The user uses the wireless remote control 20 to enter "57" in S2. The prime number operation unit 42 determines whether the "57" entered by the wireless remote control 20 is a prime number or not. For example, the prime number operation unit 42 determines whether it is a prime number or not using the prime number table information (Figures 3A to 3C) stored in the memory 40. It is determined that "57" is not a prime number, and "Prime number ×" is displayed in S3. Since it is not a prime number, "57 / 3 = 19" is displayed as a number divisible by the number in the A column (input value) and the number in the B row (prime number).
[0023] Next, an example of prime number determination is shown in FIG. 4B. On monitor 30, "Enter a number" and "Prime number determination result" in FIG. 4B are displayed. The user uses wireless remote control 20 to enter "59" at S12. Prime number calculation unit 42 determines whether the "59" entered by wireless remote control 20 is a prime number. For example, prime number calculation unit 42 determines whether it is a prime number using the prime number table information (FIGS. 3A to 3C) stored in memory 40. It is determined that "59" is a prime number, and "Prime number ○" is displayed at S13. Since it is a prime number, prime number calculation unit 42 further determines whether it is a "twin prime number". For example, prime number calculation unit 42 extracts "61", which is the twin prime number of "59", using the prime number table information (FIGS. 3A to 3C) stored in memory 40, and displays "61" on monitor 30.
[0024] As another embodiment, display device 1 can select all or part of the prime number table information using wireless remote control 20 or another input interface and display it on monitor 30.
[0025] Also, display device 1 can display a list of twin prime numbers extracted from the prime number table information on monitor 30 using wireless remote control 20 or another input interface.
[0026] Also, prime number calculation unit 42 determines whether the input numerical value is a prime number. If it is determined to be a prime number, prime number calculation unit 42 can also obtain a plurality of consecutive odd numbers in two directions of plus and minus centered on that numerical value. Display device 1 can display a plurality of consecutive odd numbers in two directions of plus and minus centered on the input prime number at the same time.
[0027] Also, prime number calculation unit 42 determines whether the input numerical value is a prime number. If it is determined not to be a prime number, prime number calculation unit 42 can determine by what combination of two numbers or what combination of two numbers with an integer multiple the non-prime number is composed. Display device 1 can display, at the same time as the input prime number, one or more combinations of two numbers in a batch.
[0028] (Printing medium) Printing media for displaying information on the truth of prime numbers include, for example, paper, fabric, cloth products, clothing products, etc. that display information on the truth of prime numbers. The information on the truth of prime numbers includes, for example, prime number table information that expands prime numbers, information on twin primes, information on a plurality of consecutive odd numbers in two directions of plus and minus centered on prime numbers, and information on whether non-prime numbers are composed of combinations of products of two numbers or combinations of products of two numbers with integer multiples, among which one or more types of information are included.
Explanation of symbols
[0029] 1 Display device 10 Housing 12 Legs 20 Wireless remote control 30 Monitor 40 Prime number arithmetic unit
Claims
1. A print or image display medium that displays information on the discovery of the truth about prime numbers, The information on the truth of prime numbers is one or more of the following information: prime number table information in which prime numbers are expanded; twin prime information; information on consecutive odd numbers in two directions, positive and negative, centered on a prime number; and information on what combinations of products of two numbers non-prime numbers are made of, or what combinations of products of two numbers multiplied by integers are made of. Display medium.
2. the image medium is a display device, The display device includes: A thin, rectangular or circular housing made of plastic or metal; an input interface configured with a switch, a wireless remote control, a voice input device, or a touch panel that is installed on the top, front, or side of the housing; a prime number calculation unit for calculating a result related to a prime number based on a number inputted through the input interface; The display medium according to claim 1 , further comprising an output interface configured with a thin monitor, a thin touch panel, or a projector for displaying a result related to the prime number calculated by the prime number calculation unit.
3. The prime number calculation unit is The display medium according to claim 2 , which judges whether a number inputted through the input interface is a prime number and / or judges whether a number is a twin prime number.
4. When the prime number calculation unit determines that the number input via the input interface is a prime number, it also calculates a plurality of consecutive odd numbers in two directions, positive and negative, centered on the number, and / or 3. The display medium according to claim 2, which, when it is determined that an input number is not a prime number, determines what combination of products of two numbers the non-prime number is made up of, or what combination of products of two numbers multiplied by an integer multiple the non-prime number is made up of.
5. The print medium is The display medium of claim 1 , comprising paper, fabric, a cloth product, or an article of clothing.