Derek's Daily Math

May 4th, 5/4.

54 = 5*4+5*4+5*4-5-5+4 (5 fives and 4 fours).

54 = 2*3*3*3

54*(2+3+3+3) starts with a 5 and ends with a 4.

54^2+1 is prime.

54^4+1 is prime.

54^2-54-1 is prime.

54^3+54+1 is prime.

There are 54 primes less than 2^8.

54^2 + 54 +/- 1 are twin primes.

There are 54 primes less than the 100th prime (541) that do not contain a 1.

54^32 + 1 is prime.

54 is 312 base 4 (Note the use of four consecutive numbers 1,2,3,4).

54 is 36 base 16 (Note: 36 and 16 are both squares (6 and 4), and 64 is also a square).

2*sin(54) = phi (golden ratio).

54 is the fewest points in an NBA Playoff Game (1998--Chicago 96, Utah 54).

The New York Rangers won a Stanley Cup in 1994, 54 years after their previous win. This was the longest drought in the trophy's history.

There are 54 countries in Africa.

A Rubik's Cube has 54 colored squares.

There are 54 mg of caffeine in 12 ounces of Mountain Dew.

125th Day of the Year.

125 = 5^(2+1)

125 = 152 - (5-2)^(2+1)

125 = 215 - 21*5 + 15

125 = 1*25 + 12*5 + (1+2+5)*(5*(2-1))

125 = 5*21 + 52*1 - 1*2^5

125 = (1+2+5)*((1+2)*5) - (1-2)*5

125 = (1*2*5)*(2*(1+5)) + 5*(2-1)

125 = (1+25)*(5*(2-1)) - ((5+1)/2 + (5-2-1))

125 = (12+5)*(2+5) + (5+2-1)

125 = (52+1)*(5-2-1) + (21-(5-2-1))

125 = 2^(5+1) + (52+(5*2-1))

125^n ends in "25" for all positive integers n. (This works for any number ending in 25).

125*521 contains 125. (What's the next number with the same property?)

125 = 5^3.

1+2+5 = 2^3.

(Are there other numbers with both these properties?)

There are 125 primes less than 700.

125^2 + 4 is prime (Note: 125 is of the form p^2 + 4 for prime p as well). (What's another number with both these properties?)

125 equals the third prime to the third power.

There are 125 primes between 19^3 and 20^3.

There are 39 primes between 125^2 and 126^2 and 39 primes between 125 and 2*125.

"Every Number Has A Story To Tell."