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Happy prime year !

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Curiosities about the number 2011

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Happy prime year !

  1. 1. H a p p y N e w P r i m e Y e a r 2 0 1 1 ! Pilar Oliva
  2. 2. About prime numbers 11 is a prime number 2011 is a prime number too; it has no divisors,but... 2, 3 , 5, 7, 11, 13 are the first six prime numbers Try to calculate them, by using each digit of 2011 and the signs +, -, x and / once . For instance, 2 = 2 + 0x1x1
  3. 3. Now, think about counting two by two instead of ten by ten; this is the numeration system called base two. 1 is 1 2 is 10 3 is 11
  4. 4. What would 4 be ? 4 is 100 Because 4 = 1x2 2 + 0x2 1 + 0x1 Then think about the first day of the year. 01/01/11 It is 010111 in base 2;what is its value in the decimal numeration system ? 0x2 5 +1x2 4 +0x2 3 +1x2 2 +1x2 1 +1x1=23 23 is also a prime number!
  5. 5. Think about another day of January that could be a number in base two and try to write it as a decimal number. Hint Answer
  6. 6. Think about the first two days at school after Christmas Holiday . Go to the previous page
  7. 7. 37 is another prime number! 55 is not a prime number, because it is a multiple of 5 and 11.

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