In this post I show that the integral is an integer.

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## Archive for July, 2010

### Why π is irrational (part 4 of 5)

20 July 2010
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### Massive prime numbers

19 July 2010I participate in PrimeGrid, a distributed computing project to find large prime numbers of various types. It seems that my computer just found such a massive prime–a Proth prime, to be precise. Proth primes have the form

where *k* and *n* are integers. Mine was

which, when written out in full base-10 notation, is 157897 digits and can be found beyond the “read the rest of this entry” tag (warning: this particular entry will load slowly in its entirety).

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### I’m back!

17 July 2010After three weeks of chemistry, humidity, and general nerdiness at CTY Lancaster, I must say it’s great to be home!