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#1 2011-06-03 16:06:50

ZHero
Real Member
Registered: 2008-06-08
Posts: 1,889

2011 is a prime number!

2011 is prime number which is a sum of 11 consecutive prime numbers!

http://www.blog.republicofmath.com/archives/4120

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#2 2011-07-25 18:25:59

Member
Registered: 2011-07-23
Posts: 16

Re: 2011 is a prime number!

Also, 23 is the sum of 3 consecutive primes.

If gcd(n,b)>1, there does not exist any sequence of n consecutive primes such that the last digit(s) in base b is n. Does such a sequence always exist when gcd(n,b)=1?

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#3 2011-09-03 15:06:45

Stormtangent
Member
Registered: 2011-09-03
Posts: 33

Re: 2011 is a prime number!

2011 is also the sum of three consecutive primes:  661, 673, and 677.

Furthermore, 2011= 39^2 + 17^2 + 7^2.

"Have you ever had a dream that you were so sure was real? What if you were unable to wake from that dream? How would you know the difference between the dream world and the real world? "

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