Favourite links
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Mathematical Societies/Associations of which I am/was a member

London Mathematical Society
American Mathematical Society (its monthly Feature Column)
Mathematical Association of America
Irish Mathematics Teachers Association

Mathematical sites (almost all these sites are remarkable; to save space I don't use adjectives)

The Works of Leonard Euler Online
Chris Caldwell's Prime Number Site
Keith Matthews' Homepage and KM's 
The Number Theory Web
(Vancouver site) 
St. Andrews, Scotland History of Mathematics web site  
Andrew Hodges (author of Alan Turing: the Enigma
maintains an Alan Turing site
N J A Sloane's On-Line Encyclopaedia of Integer Sequences  
(has a Puzzle Sequences section)
Centre for Experimental and Constructive Mathematics
cut-theknot
The Journal of Integer Sequences
Abderrahmane Nitaj's abc conjecture Home Page
Noam Elkies' Computational Number Theory Page
Eric W. Weisstein's mathworld   
Number Theory Math
Steven Finch's Mathematical Constants page
KnotPLot

Personal web sites

Jonathan Borwein
Peter Borwein
Bruno Buchberger
Erik Demaine
Karl Dilcher
Timothy Gowers
Ron Graham
Andrew Granville
Donald E. Knuth
Yuri Matiyashevich
Andrew M. Odlyzko
Nige Ray
N.J.A Sloane
Terence Tao
Michel Waldschmidt
Herbert Wilf
Doron Zeilberger

Günter Ziegler

 
Royal Holloway College Alumni Relations Update
The Pioneers (those - myself included - who went to Royal Holloway College in 1965)