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# The function f(x) represents the number of ways that prime numbers can

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Manager
Joined: 13 Jun 2016
Posts: 95
Location: United States
Concentration: Finance, Technology
The function f(x) represents the number of ways that prime numbers can  [#permalink]

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08 Jul 2016, 21:48
3
00:00

Difficulty:

85% (hard)

Question Stats:

47% (02:23) correct 53% (02:23) wrong based on 118 sessions

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The function f(x) represents the number of ways that prime numbers can be uniquely summed to form a certain number x such that x = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)?

A. 4
B. 5
C. 6
D. 7
E. 8
Marshall & McDonough Moderator
Joined: 13 Apr 2015
Posts: 1684
Location: India
Re: The function f(x) represents the number of ways that prime numbers can  [#permalink]

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08 Jul 2016, 22:21
1
It is better to start with 2 and check whether sum of two primes is primes is even.

1) 2(6 times)
2) 2(3 times) + 3(2 times)
3) 2(2 times) + 3 + 5
4) 2 + 3 + 7
5) 2 + 5 + 5
6) 3(4 times)
7) 5 + 7

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Posts: 13365
Re: The function f(x) represents the number of ways that prime numbers can  [#permalink]

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12 Oct 2018, 08:08
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Re: The function f(x) represents the number of ways that prime numbers can   [#permalink] 12 Oct 2018, 08:08
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