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Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
If N is the sum of four different primes each greater than 200, what i
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23 Jun 2021, 10:00
23 Jun 2021, 10:00
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If N is the sum of four different primes each greater than 200, what is the least possible value of N?
A. 887
B. 890
C. 899
D. 903
E. 921
A. 887
B. 890
C. 899
D. 903
E. 921
Re: If N is the sum of four different primes each greater than 200, what i
[#permalink]
23 Jun 2021, 19:24
23 Jun 2021, 19:24
We need the least sum. So we will have to choose first 4 prime nos after 200.
They are 211 , 223 , 227 , 229
Sum = 890
Answer B
They are 211 , 223 , 227 , 229
Sum = 890
Answer B
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If N is the sum of four different primes each greater than 200, what i
[#permalink]
24 Jun 2021, 05:12
24 Jun 2021, 05:12
1
GreenlightTestPrep wrote:
If N is the sum of four different primes each greater than 200, what is the least possible value of N?
A. 887
B. 890
C. 899
D. 903
E. 921
A. 887
B. 890
C. 899
D. 903
E. 921
APPROACH #1: Identify the 4 smallest prime greater than 200
This will require a lot of work, but when we're done we get: 211, 223, 227 and 229
So, the sum = 211 + 223 + 227 + 229 = 890
Answer: B
APPROACH #2: Recognize that ALL prime numbers greater than 2 are ODD
So, the sum = ODD + ODD + ODD + ODD = EVEN
Answer: B (since 890 is the only even answer choice)
