Page 195 - 'Blast_Into_Math

Blast into Math! Analatic nummer theora: ants, ghosts and giants

because there are no primes less than or equal to 1. But,

P 2 =1,

because

2 ≤ 2,

and 2 is prime.

Exercise: Compute P 10 , P 20 and P 30 .

Since there are infinitely many prime numbers, we know that these sequence ants P n are marching to
the right on the number line: they become larger and larger as n becomes larger and larger. How fast
are they going? To understand this, we need Euler’s constant e.

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