Kara, a high school junior, recently received a puzzling bitmap image by email in the shape of a trapezoid. She didn't recognize the email address, and she doesn't know why she would be receiving such a picture. She attached the bitmap image below, and wants to know who it's from.

$Given$ $Devil$ goes by $666$ Express him as 1). Sum of all Primes in 3 Different ways.Use only + sign. 2). Sum of all Squares of Primes. Use only + and ^ signs. 3). Sum of Squares of Prime Products $(P1*P2)^2 + (P1*P3)^2$ where P1,P2,P3 are primes.

This puzzle is part 22 of Gladys' journey across the globe. Each part can be solved independently. Nevertheless, if you are new to the series, feel free to start at the beginning: Introducing Gladys. Dear Puzzling, Today I went to a marketplace. I quite like the atmosphere –...

Using standard mathematical symbols, (i.e. no other letters or numbers), make the following true: 0 0 0 = 6 1 1 1 = 6 2 2 2 = 6 3 3 3 = 6 4 4 4 = 6 5 5 5 = 6 6 6 6 = 6 7 7 7 = 6 8 8 8 = 6 9 9 9 = 6 As a freebie, I will give the easiest away, 2 + 2 + 2 = 6 All numbers are base 10...

Use pure logic and deductive reasoning only. Document detailed steps in arriving at final solution. You can use calculator minimally. $ Given$: Utilizing These two unique set of Pan digital fractional relations, solve for all the digits. You can try solving first without helping hand from this...

connect every red circule to black circule by drawing line and line should not touch eachother it means from every red circule must be draw 3 lines connecting red circules to black circules but the line must not touch each other. i am 32 years old now, when i was in 4 class a friend of mine chal...

From the pictures below, can you find the names of the corresponding countries? 1) 2) 3) 4) 5)

Find the word that was encoded in this music sheet: (No instrument is required)

My prefix gets the guns. My infix makes things dull. My suffix appears at zero. My whole indicates a lull. What am I?

My prefix is when you jump into a lake My infix is when you reach the edge of it My suffix is if you are a nice chap My whole is always varying What am I?

This is a Statue View puzzle, an original invention combining two logic puzzle genres: Statue Park and Canal View. Rules of Statue View: Shade some cells of the grid to form the given set of pieces. Pieces may be rotated or reflected. Pieces cannot be adjacent (though they can touch at a corne...

My prefix may have a pout, my infix may be a lout, my suffix is a long route, I am a wandering trout. or My prefix urged smokes over, my infix is to cover, my suffix may be Gaozu, I am an Irish rover.

In the spirit of the What is a Word™/Phrase™ series started by JLee, a special brand of Phrase™ and Word™ puzzles. If a word conforms to a special rule, I call it an Outside Word™. Use the examples below to find the rule. $$ % set Title text. (spaces around the text ARE important; do not re...