5,700

[Math.]  5775 = 77´75 and 5700 = 76´75.

 

5,711

[Math.]  A prime number, formed by 3 consecutive prime numbers 5, 7 and 11.

 

5,712

[Math.]  5712 = 28+46+64+82.

 

5,713

[Math.]  5713 = 010+28+46+64+82+100.

 

5,723

[Math.]  5,7232 = 32,752,729, starting with the root number backward, 3257.

 

5,739

[Math.]  Two multiples of number 5739, 5739×5 = 28,695 and 5739×7 = 40,173, use each of 10 digits 0-9 once.

 

5,741

[Math.]  A prime number.  

The 5th square number that is the sum of squares of 2 consecutive numbers: 32,959,081 = 57412 = 40592+40502. Each root number in the series is 6 times the previous root number minus the earlier root number: 1, 52, 292, 1692, 9852

Or in other words:   (4059, 4060, 5741) is the 5th Pythagorean triple (lengths of 3 sides of a right triangle), where 2 sides are consecutive integers.

 

[Math.]  The first Markov numbers are 1, 2, 5, 13, 29, 34, 89, 169, 194, 233, 433, 610, 985, 1325, 1597, 2897, 4181, 5741, 6466, 7561, 9077…

 

5,742

[Math.]  Two multiples of number 5742, 5742×5 = 28,710 and 5742×8 = 45,936, use each of 10 digits 0-9 once.

 

5,760

[Math.]  Sum (in degrees) of all internal angles of a 34-side polygon.

 

[Measure]  The number of grains in a troy pound.

Units for precious metals weight measures: 1 troy pound = 12 troy ounces = 240 pennyweights = 5760 grains = 373 g (grams).

 

[Measure]  1 pound apothecaries = 12 ounces apothecaries = 96 drams apothecaries = 288 scruples = 5760 grains.

 

5,775

[Math.]  5775 = 77´75 and 5700 = 76´75.

 

5,778

[Math.]  A triangular number (sum of all integers from 1 to 107): 5778 = 1+2+…+106+107.

 

[Math.]  The largest Lucas number (18th), which is also a triangular number. The only other triangular Lucas number is 1 and 3.

 

5,784

[Math.]  5,784 = 555+777+8+4444.

 

5,786

[Math.]  5,786 = 5555+77+88+66.

 

5,789

[Math.]  The ratio 46312/5789 = 8, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #8.

 

[Math.]  The 5789th prime number is 57089.

 

5,791

[Math.]  The only 4-digit prime number whose digits are (circularly) consecutive odd digits.

 

[Math.]  The ratio 46328/5791 = 8, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #8.

 

5,793

[History]  The distance (5793.28 km, kilometers) Charles A. Lindbergh completed in the first non-stop solo trans-Atlantic flight on 20-21 May 1927, from Long Island, New York, U.S. to Paris, France in 33½ hours.

 

5,795

[Math.]  A Cullen prime number: 5795×25795+1.

 

5,796

[Math.]  12×483 = 5,796 = 42×138. Each equality uses each of 9 digits 1-9 once.

 

[Math.]  Each ratio 15768/3942 = 17568/4392 = 23184/5796 = 31824/7956 = 4, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #4.