27th to solve P-Euler problem 140 :)

so, i've been using the method i discovered in the last post to solve the past four new problems, which all simplified to the concept of "given some quadratic equation in x, find all the values of x for which the result is a perfect square."

and the sequence of solutions always grows exponentially, and i realized ( Read more... )

Consider the set of solutions, in positive integers x, of 5x^2 + 2x + 1 = n, where n is a perfect square.

Show that if a and b are two solutions, with a < b, then 7b-2a+1 is also a solution ( Read more... )

> Finish the programs that i've abandoned.
> Try to actually learn something from a class.
> Use www.kalva.demon.co.uk and AoPS more often.
> Suck less at VTRMC/Putnam.
> Improve attention span as necessary to accomplish the above.

> Read Shadows in Flight and Harry Potter and the Deathly Hallows the day they're released.
> Reach 90% genius (Project ( Read more... )

i tried to read my last post, but i can't seem to remember my train of thought from so long ago. and just like in programming, i'm horrible at documenting stuff for future reference. nevertheless, i'll probably spend some more time on the idea in the last post now, since i don't have anything better to do for the summer than watching videos of ( Read more... )

quick idea. totally unrelated to the other half-finished post i have for this, but i'm in the middle of the common app essay when i came up w/ this idea (yes the essay is related). will jot it down before i forget ( Read more... )

reworking lj. just kinda haphazardly done the layout, and have a bit of an entry saved elsewhere. i intend for this journal to be a bit more than mindless rambling, and since i just got back from a LAN party and got a little sleep i'll give myself til tmrw to organize my thoughts.

until then,
- L.Li

this entry started out in xanga, but halfway through writing it i realized that ( Read more... )

ok i normally wouldn't have updated, but this is too great not to post somewhere:


( Read more... )

i was sitting in the guardstand a little while ago, and somehow my thoughts turned to ARML 2005 - more specifically, the last question of the power round that danny and I spent lots of time on but still couldnt solve. here's the gist of it ( Read more... )

ack music tag... now you know the weird stuff i listen to ( Read more... )