Channel - Michael Penn

these are the only perfect squares

Michael Penn
9.1K views • 1 day ago

the most interesting proof of L'Hospital's Theorem!!

Michael Penn
10K views • 2 days ago

how 1+1-1+1+⋯=½

Michael Penn
9.4K views • 3 days ago

what a nice integral!

Michael Penn
11K views • 4 days ago

quite a nice couple of problems

Michael Penn
8.6K views • 5 days ago

this number is "super divisible"

Michael Penn
9K views • 6 days ago

a nice divisibility problem

Michael Penn
7.9K views • 7 days ago

a very British functional equation

Michael Penn
8.8K views • 8 days ago

on "permutable" primes

Michael Penn
5.3K views • 9 days ago

periodically, we have a nice integral

Michael Penn
6.3K views • 10 days ago

your Calculus teacher lied* to you

Michael Penn
68K views • 11 days ago

Irrational distances from a set of points -- 1990 Putnam A4

Michael Penn
7K views • 12 days ago

cosine in recursion

Michael Penn
5.7K views • 13 days ago

two nice superfactorial problems

Michael Penn
7.6K views • 2 weeks ago

comparing power towers

Michael Penn
7.6K views • 2 weeks ago

a non-standard irrationality proof

Michael Penn
13K views • 2 weeks ago

math professor explains viral square root problem

Michael Penn
56K views • 2 weeks ago

How to choose courses the Putnam way.

Michael Penn
4.5K views • 2 weeks ago

a surprising exponential closure

Michael Penn
8K views • 2 weeks ago

does your Calculus teacher give you limits this hard?!?

Michael Penn
16K views • 2 weeks ago

lifting the exponent -- an often missed tool for contests!

Michael Penn
7K views • 3 weeks ago

what function satisfies these conditions??

Michael Penn
9.2K views • 3 weeks ago

is this trickier than it seems?

Michael Penn
10K views • 3 weeks ago

can you evaluate this crazy integral??

Michael Penn
6.1K views • 3 weeks ago

the most outlandish technique is used to solve this...

Michael Penn
16K views • 3 weeks ago

the geometry of the third derivative

Michael Penn
95K views • 3 weeks ago

a super nice problem

Michael Penn
8.9K views • 3 weeks ago

a complex approach to a classic sum

Michael Penn
10K views • 4 weeks ago

a heroic use of the complex numbers

Michael Penn
19K views • 4 weeks ago

a very cool "recursive" differential equation

Michael Penn
11K views • 1 month ago

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