2011 is a prime number year, the first one since 2003.
2011 is also the sum of 11 CONSECUTIVE prime numbers: 2011=157+163+167+173+179+181+191+193+197+199+211
2011 is also the sum of 3 CONSECUTIVE primes 2011 = 661+673+677
Two prime numbers are “consecutive” if they follow one upon the other, in the collection of prime numbers. So, for example, 3 and 5 are consecutive prime numbers, as are 7 and 11.
2011 is ALSO the sum of a 2 prime numbers (11 and 3) of consecutive prime numbers.
The next year after 2010 that is a prime number and a sum of consecutive prime numbers is 2027 = 29+31+37+41+43+47+53+59+61+67+71+73+
79+83+89+97+101+103+107+109+113+127+131+137+139
but that year is not a sum of a prime number of consecutive prime numbers.
However, 2027 does have the curious and interesting property that it is prime and the sum of its digits 2+0+2+7=11 is also a prime number. It is the first year after 2003 that has this property.
The next year that is a prime number and a sum of a prime number of consecutive prime numbers is 2081 =401+409+419+421+431.
Happy New Year
February 24, 2011 at 7:59 AM
Hi Miss Welsey, like your class blog, well structured with good use of third party sights. If your keen on the maths you might like my puzzling sights which is really recreational mathematics: http://puzzlingnelson.blogspot.com/
Steven Wills