26 Sept 2025 Daily Log

Easy to guess, hard to prove

Maths

I find learning about the unsolved problems in mathematics interesting. The book classified two conjectures as "Easy to guess, hard to prove", this is the Goldbach Conjecture and the Twin Primes Conjecture

Goldbach Conjecture states that every even number greater than 2 is the sum of two prime numbers. $4 = 2 + 2$ , $6 = 3 + 3$ , $8 = 3 + 5$, $5 + 5 = 10$, $5 + 7 = 12$ and so on. And computer searches have verified the result to at least a billion. But for all it's simplicity to this day it is not known for certain whether the conjecture is true or false.

Twin Primes Conjecture states that they are infinitely many primes that are just two whole numbers apart, such as 3 and 5, 11 and 13, 17 and 19.

Notes from The Language of Mathematics: Keith Devlin

Prayer

Bible verse of the day was Daniel 12:3.

And they that be wise shall shine as the brightness of the firmament; and they that turn many to righteousness as the stars for ever and ever.

Language

Day 56 on Duolingo. Mostly mental maths lessons.