The Ten Commandments are not as they were originally proposed by God, but the result of His revision after being urged by Moses to ‘tailor’ them more specifically for understanding by the hoi polloi. keywords: [religion] [Old Testament] [target audience]

# Day: July 29, 2020

# Arthur Butz and Deborah Lipstadt

What Arthur Butz and Deborah Lipstadt have in common: Neither thinks it’s worth taking the time to learn Esperanto. keywords: [politics] [history]

# article (on mathematics, elliptic curves): Good Reduction

Here is the link. keywords: [greater precision of definition] [flat and smooth morphisms] [abelian varieties]

# p-adic Hodge Theory

Here is the link to the Wikipedia article on it. keywords: [Mathematics] [Number Theory]

# Conjecture (compatible primes, Lagrange’s conjecture)

If n is greater than 1 and p is the greatest prime less than n^2 and q is the smallest prime greater than (n+1)^2, and n^2 – p = 2 and q – (n+1)^2 = 1, then p and q are compatible primes. keywords: [Mathematics] [Number Theory]

# compatible primes

(suggested new terminology) Definition. Two distinct primes p and q are said to be compatible fif 2g is not an integer, where g is their geometric mean, and the integer closest to g is a prime. keywords: [Mathematics] [Number Theory]

# Conjecture (odd power of 2; 3; Lagrange’s conjecture)

If n is greater than 2 and p is the largest prime less than n^2 and q is the smallest prime greater than (n+1)^2, and q – (n+1)^2 = 3, then n^2 – p is an odd power of 2. keywords: [Mathematics] [Number Theory]