Mathematicians sometimes think of their research as a garden and unsolved problems as seeds waiting to sprout. Some problems are analogous to tulip bulbs. As mathematicians work to solve them, they ...

Bakuage Co., Ltd. headquartered in Shibuya, Tokyo, announced on July 7, 2021, that it is offering a prize of 120 million Japanese yen (*) to anyone who has revealed the truth of the Collatz conjecture ...