About the Number 41 (forty-one)

While working on a nBAB for the number 43, MathBabbler noticed that 43 was a "twin prime" of number 41.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   41 is a natural, whole, integer
   41 is odd
   41 is unhappy
   41 is not a Harshad number
   41 is prime
   ...Cousin prime with 37
   ...Sexy prime with 47
   ...Sophie Germain prime with 83
   ...Twin prime with 43
   ...Pythagorean
   ...Super
   ...prime triplet {37, 41, 43}
   ...prime triplet {41, 43, 47}
   41 is undulating
   41 in octal is 051
   41 in hexadecimal is 0x29
   41 in binary is 101001 (is odious)
   41 nearest square numbers: -5...8 (36 [6]...49 [7])
   sqrt(41) = 6.40312
   ln(41) = 3.71357
   log(41) = 1.61278
   41 reciprocal is .02439024390243902439024390243902
   41! is 3.34525e+49
   41 is 13.0507 Pi years
   41 is 2 score and 1 year

41 written as a Roman numeral is XLI.

Wikipedia tidbits...

   42 + 52 = 41                     # sum of two squares
   2 + 3 + 5 + 7 + 11 + 13 = 41     # sum of 1st six primes
   11 + 13 + 17 = 41                # sum of three consecutive primes
   ??? adding up the sums of divisors for 1 through 7 yields 41 ???

Another Wikipedia tidbit...

   Euler first noticed (in 1772) that the quadratic polynomial

      P(n) = n2 + n + 41

   is prime for all non-negative integers less than 40. The primes 
   for n = 0, 1, 2, 3... are 41, 43, 47, 53, 61, 71... The differences 
   between the terms are 2, 4, 6, 8, 10... For n = 40, it produces a 
   square number, 1681, which is equal to 41 * 41, the smallest 
   composite number for this formula. In fact if 41 divides n 
   it divides P(n) too.

MathBabbler created this nBAB when he was 51 years young. 51 in base-8 (octal) equals 41.

This nBAB about the number 41 was created as a result of creating a nBAB about the number 43 and the average of 41 and 43 is 42 (i.e. the "Answer to Life, the Universe, and Everything")

The Wikipedia claims the phrase "let it be" is sang 41 times in the song "Let It Be."

Added a song titled #41 by the Dave Matthews Band to Songs With Numbers in Their Titles.

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 23 November 2008 (nBAB# 76; BAB# 1924)