Mathematical Constants, Triplets, and Powers

Flashcards covering Pythagorean triplets, power tables (squares, cubes, and higher exponents for 2-9), and multiples of numbers like 37 and 75.

Pythagorean Triplet (3, 4, 5)

$$\{3, 4, 5\}$$

Pythagorean Triplet (5, 12, 13)

$$\{5, 12, 13\}$$

Pythagorean Triplet (7, 24, 25)

$$\{7, 24, 25\}$$

Pythagorean Triplet (8, 15, 17)

$$\{8, 15, 17\}$$

Pythagorean Triplet (9, 40, 41)

$$\{9, 40, 41\}$$

Pythagorean Triplet (11, 60, 61)

$$\{11, 60, 61\}$$

Pythagorean Triplet (12, 35, 37)

$$\{12, 35, 37\}$$

Pythagorean Triplet (13, 84, 85)

$$\{13, 84, 85\}$$

Pythagorean Triplet (20, 21, 29)

$$\{20, 21, 29\}$$

Pythagorean Triplet (33, 56, 65)

$$\{33, 56, 65\}$$

General Formula for Pythagorean Triplets

$$[p^2+q^2, p^2-q^2, 2pq]$$

$$37 \times 3$$

$$111$$

$$37 \times 6$$

$$222$$

$$37 \times 9$$

$$333$$

$$2^7$$

$$128$$

$$2^8$$

$$256$$

$$2^9$$

$$512$$

$$2^{10}$$

$$1024$$

$$3^5$$

$$243$$

$$4^5$$

$$1024$$

$$5^5$$

$$3125$$

$$6^4$$

$$1296$$

$$6^5$$

$$7776$$

$$7^4$$

$$2401$$

$$7^5$$

$$16807$$

$$8^4$$

$$4096$$

$$8^5$$

$$32768$$

$$9^4$$

$$6561$$

$$9^5$$

$$59049$$