Counting -- The search for prime numbers -- The world record holders -- The distribution of primes -- Prime races, emirps, and more -- The baffling law of Benford -- What is so special about 6174? -- Number patterns and symmetries -- Numbers perfect, friendly, and weird -- How do these series end? -- Fermat's legendary last theorem -- Shapely numbers and Mr. Waring. -- Magic squares and cubes -- How can anything so simple be so difficult? -- Nearly all numbers are insane -- Cyclic numbers and their secret -- Pi, a transcendental number -- Most numbers are normal, but it's tough to find one -- A different way of counting; geometric numbers -- Two dimensional numbers -- Counting the infinite.