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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

namealreadychosen
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.


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