Math factoid of the day: 55

Friday 16 June 2017

55 is in the Fibonacci sequence:

1 1 2 3 5 8 13 21 34 55 ...

55 is a triangular number:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

It is the largest number that is both Fibonacci and triangular.

It is also a Kaprekar number:

55² = 3025 and 30+25 = 55

Comments

[gravatar]
smitty 12:22 PM on 16 Jun 2017

For all that, Sammy Hagar is precluded from vehicular travel at this velocity.

[gravatar]
Chris Emerson 3:42 PM on 16 Jun 2017

I'd like to see a proof that no larger Fibonacci numbers are triangular! (The linked wiki page also doesn't have any reference for that that I can see)

[gravatar]
Ned Batchelder 2:01 PM on 17 Jun 2017

@Chris: here's the proof: http://www.fq.math.ca/Scanned/27-2/ming.pdf I just don't understand it! :)

Add a comment:

Ignore this:
Leave this empty:
Name is required. Either email or web are required. Email won't be displayed and I won't spam you. Your web site won't be indexed by search engines.
Don't put anything here:
Leave this empty:
URLs auto-link and some tags are allowed: <a><b><i><p><br><pre>.