# 163 and Ramanujan Constant

$e^{\pi \sqrt{163}}$
is almost a whole number !

$\sqrt{-163}$
is the last one of the list d which allows unique prime factorization in Z[d].

$d = \sqrt{-1}, \sqrt{-2}, \sqrt{-3}, \sqrt{-7}, \sqrt{-11}, \sqrt{-19}, \sqrt{-43}, \sqrt{-67}, \sqrt{-163}$

Why $\sqrt{-5}$ not in d?

6 = 2 x 3
$6 = (1 + \sqrt{-5}).(1 - \sqrt{-5})$

# Life Changing Book

The book which changed their life:
1. GH Hardy: by Carmille Jordan’s Cours d’Analyse:
“I shall never forget the astonishment with which I read the remarkable work … and I learnt for the first time as I read it what mathematics really meant.”

2. Ramanujan : George Carr’s
A Synopsis of Elementary Results in Pure & Applied Mathematics”
(4,400 results without proofs)

3. Riemann : Legendre’s book

4. Hardy/Littlewood:
Landau 2-volume “Handbuch der Lehre von Der Verteilung der Primzahlen
(Handbook of the Theory of the Distribution of Prime Numbers)

5. Atle Selverg (Norway): Ramanujan’s “Collected Papers

Note: This blogger’s mathematics ‘fire’ is rekindled by John Derbyshire’sUnknown Quantity”.

# Ramanujan-Hardy number

Ramanujan-Hardy number

1729 = 1.1.1 + 12.12.12
1729 = 9.9.9 + 10.10.10