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k a April Highlights and 2025 AoPS Online Class Information
jlacosta   0
Apr 2, 2025
Spring is in full swing and summer is right around the corner, what are your plans? At AoPS Online our schedule has new classes starting now through July, so be sure to keep your skills sharp and be prepared for the Fall school year! Check out the schedule of upcoming classes below.

WOOT early bird pricing is in effect, don’t miss out! If you took MathWOOT Level 2 last year, no worries, it is all new problems this year! Our Worldwide Online Olympiad Training program is for high school level competitors. AoPS designed these courses to help our top students get the deep focus they need to succeed in their specific competition goals. Check out the details at this link for all our WOOT programs in math, computer science, chemistry, and physics.

Looking for summer camps in math and language arts? Be sure to check out the video-based summer camps offered at the Virtual Campus that are 2- to 4-weeks in duration. There are middle and high school competition math camps as well as Math Beasts camps that review key topics coupled with fun explorations covering areas such as graph theory (Math Beasts Camp 6), cryptography (Math Beasts Camp 7-8), and topology (Math Beasts Camp 8-9)!

Be sure to mark your calendars for the following events:
[list][*]April 3rd (Webinar), 4pm PT/7:00pm ET, Learning with AoPS: Perspectives from a Parent, Math Camp Instructor, and University Professor
[*]April 8th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS State Discussion
April 9th (Webinar), 4:00pm PT/7:00pm ET, Learn about Video-based Summer Camps at the Virtual Campus
[*]April 10th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MathILy and MathILy-Er Math Jam: Multibackwards Numbers
[*]April 22nd (Webinar), 4:00pm PT/7:00pm ET, Competitive Programming at AoPS (USACO).[/list]
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0 replies
jlacosta
Apr 2, 2025
0 replies
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Prime numbers
MihaiT   2
N 26 minutes ago by CXP

Prove that there are no prime numbers $ p $ such that the numbers $ p^5+4 $ si $ p^{2024}+4 $ are simultaneously prime .
2 replies
MihaiT
Nov 10, 2024
CXP
26 minutes ago
J
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Right Triangle
phiReKaLk6781   4
N an hour ago by lpieleanu
A right triangle has sides of integer length. One side has length 11. What is the area of the triangle?
4 replies
phiReKaLk6781
Mar 16, 2010
lpieleanu
an hour ago
J
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Roots
phiReKaLk6781   2
N an hour ago by lpieleanu
Give the positive root(s) of $ x^3 + 2x^2 - 2x - 4$.
2 replies
phiReKaLk6781
Mar 16, 2010
lpieleanu
an hour ago
J
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Counting Prime Numbers
phiReKaLk6781   2
N an hour ago by lpieleanu
How many primes exist which are less than 50?
2 replies
phiReKaLk6781
Mar 16, 2010
lpieleanu
an hour ago
J
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EG//BD, cyclic ABCD, angle bisectors (2013 Kukin MO by OmSU 10.5)
parmenides51   0
Apr 12, 2021
The extensions of the sides $AB$ and $CD$ of the cyclic quadrilateral $ABCD$ intersect at the point $X$.The extensions of the sides $AD$ and $BC$ intersect at the point $Y$. The bisector of angle $AYB$ intersects side $AB$ at point $G$, the bisector of angle $BXC$ meets $AD$ at point $E$. Prove that line $EG$ parallel to the diagonal $BD$.
0 replies
parmenides51
Apr 12, 2021
0 replies
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EG//BD, cyclic ABCD, angle bisectors (2013 Kukin MO by OmSU 10.5)
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parmenides51
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parmenides51
#1 h  Apr 12, 2021, 12:56 PM
Y by
The extensions of the sides $AB$ and $CD$ of the cyclic quadrilateral $ABCD$ intersect at the point $X$.The extensions of the sides $AD$ and $BC$ intersect at the point $Y$. The bisector of angle $AYB$ intersects side $AB$ at point $G$, the bisector of angle $BXC$ meets $AD$ at point $E$. Prove that line $EG$ parallel to the diagonal $BD$.
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