37

Story: -Kingdom of Math: Statistics, physics, astronomy, engineering... Mathematics finds applications in various scientific fields. Humans naturally believe themselves to be the sole darlings of these concise and lucid numbers. They devote themselves to expelling the Arcanists that symbolize disorder and chaos in number theory, all to preserve the harmony and unity of mathematics. However, this remains merely a wish. The realm of pure reason has never truly existed; perpetually hanging above it is the cloud of Gnosis. Arcanum and rational systems; religious beliefs and scientific proof; the notion that "all things have numbers" and mathematics. They are all like two sides of a ruler, measuring everything in the world. The followers of Pythagoreanism have made significant contributions throughout history, and the theories of fundamental numbers have left an indelible mark on many. However, the "Storm" swept unrelentingly throughout the world. Mathematics lost its once solid ground, leaving nothing but debris. Then, a pair of tender hands picked it up. -An Unfinished Demonstration On the Supplementary Calculations of Soul Number 37 I hereby declare to approach this task with impartiality, to eliminate errors and omissions, and to treat each number with fairness, as I uphold the unique guidelines of a Corrector. 1: The smallest irregular prime number Note: Based on the "Primitive Bernoulli Number" criterion, which is a rational number sequence closely related to number theory. 2: Repeating unit 111 (three consecutive 1s, where 3 is a prime number), 111 = 3 x 37 Note: She avoids the division between "finite" and "infinite." 3: Any number can be expressed as the sum of at most 37 fifth powers of 5 Note: She is special, possessing multiple possibilities. 4: A regular hexagon Note: This corresponds to her influence and importance in the School of Apeiron. ... 37 is the third unique prime number in the decimal system and the third isolated prime number without a twin prime. It is the third Cuban prime, the fourth prime, the fifth lucky prime... -Geometric Problem: a record of 37's conservation 37: Oh! Another set of contradictions. Pandora Wilson: Although I know very little about mathematics, I can sense the disappointment from your tone. 37: Free, selfish, untraceable—traits of irrational numbers. Fortunately, it adheres to coherence and maintains clear boundary criteria... Pandora Wilson: I hope this won't affect our conversation. 37: Of course not, addressing various math puzzles is precisely my job; I excel at it. 37: Now, please open up your quadratic surface. Pandora Wilson: ... Pandora Wilson: Ah—? 37: Fantastic! In Apeiron, we often engage with spheres and regular polyhedra... Opportunities to study special surfaces are quite rare. 37: Clearly, you don't belong to real quadratic surfaces, nor do you align with degenerate quadratic surfaces. But it's alright; I will find a place for you in the geometric classification of three-dimensional Euclidean space. Pandora Wilson: ...Thank you. Birthday Letter: 1: "I thought it was just a normal day, like any other day. Same morning, same noon, same night," she said with some surprise. 2: "Now that time is flowing out of order, in which calendar are you looking for July 27th?" That's what she said. 3: "It's an interesting custom to celebrate a birth with a cream-covered circle and a shortened line to represent age! Oh! So I should blow them out?" She looked curious. Item: -The Infinity of the Finity: A finite length composed of an infinite number of points. In a sense, it represents a division of spatial intervals, also implying an inquiry into truth and a self-admonition, as explained by the interviewee. Despite this, I always thought it was just an armband. -Toga of Apeiron: A hyperbolic paraboloid, cut from a single piece of fabric, is the robe that best embodies mathematical geometry. It is highly esteemed by the islanders. It is perfect, but... one must be careful when walking, says the interviewee firmly. -Neck Accessories: A neckpiece tailor-made for the wearer, with a simple yet profound design. Although the interviewee did not reveal much, we can still speculate. It is a symbol composed of straight lines, circles, and triangles, a fulcrum balancing thought and action, symbolizing the earliest geometric measuring tools. Ability: -Triangulation (Arcane Skill): Ф An obvious triangle, speaking out against overlooked injustices, the evidence is as follows. -Curve Mapping (Arcane Skill): Ф Such beautiful form. Desirable in dimensions and fractals—a truth agreed upon by all. -Kingdom of Geometry (Ultimate): Ф It is the end, the answer, the result of all calculations. Arcanist's work, exhibited in the 1990s for 16 years, created on July 27th in summer. Exhibition location: an island in the Aegean Sea region. 37 is a Star Arcanist in Reverse: 1999. She is introduced through The Prisoner in the Cave story chapter alongside 6. 37 has a strong affection for the "abstract world" and loves to share her knowledge. She is a passionate scholar, a devout priestess, but also an indifferent daughter and friend. Well, she's not really indifferent—it's just that she has invested all her emotions in the "abstract world," leaving little for reality and those around her. Her emotions toward others are associated with abstractions rather than their interactions with her. Influenced by her heritage and the school, 37 has been obsessed with mathematics since childhood. Because of her insight into the "abstract world," she is able to perceive the world in the form of numbers. Or rather, her perception of the world is only in the form of numbers. In 37's world, integers are her friends, irrational numbers are free spirits, prime numbers are tricky, and composite numbers are amiable. 3 is a good number, 6 is a good number, 7 is a good number and 1001 is also a good number. If you ask her about what happened in 1999, she will tell you, "How fun! 1999 is a lovely centered triangular number!" 37, a mathematical genius who is not so interested in the world of Matter. She would care if a plate is perfectly placed according to the golden ratio, but not what is actually on the plate. Of course, she also follows the rules of the school strictly. "Abstain from beans; Do not pick up what has fallen; Touch not a white rooster ..." She adheres to the precepts as if they were the laws of the world. This is the only way she knows life. To her everything is trivial compared to the "abstract world."

island in the Aegean Sea region.