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Sub 505 (Easy)|   Number Properties|               
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What is the least integer that is a sum of three different primes each 21 May 2017, 11:26
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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5% (low)

Question Stats:

86% (00:51) correct 14% (01:07) wrong based on 1326 sessions

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What is the least integer that is a sum of three different primes each greater than 20 ?

(A) 69

(B) 73

(C) 75

(D) 79

(E) 83
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E
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Bunuel
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What is the least integer that is a sum of three different primes each 21 May 2017, 11:28
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carcass
What is the least integer that is a sum of three different primes each greater than 20 ?

(A) 69

(B) 73

(C) 75

(D) 79

(E) 83
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A Prime number is a positive integer with exactly two distinct natural number divisors: 1 and itself.

Primes greater than 20 are 23, 29, 31, 37, ...

The least integer that is a sum of three different primes each greater than 20 is thus 23 + 29 + 31 = 83.

Answer: E.

Similar question to practice: https://gmatclub.com/forum/what-is-the- ... 19839.html
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What is the least integer that is a sum of three different primes each 12 Apr 2019, 05:29
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Is there a more efficient method than listing primes, adding them, and matching it to the answer choices?
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What is the least integer that is a sum of three different primes each 07 Apr 2020, 10:49
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Is there a more efficient method than listing primes, adding them, and matching it to the answer choices?
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I don't believe there is a more efficient method than the one Bunuel has demonstrated
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What is the least integer that is a sum of three different primes each 02 Apr 2022, 06:41
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Question: What is the least integer that is a sum of three different primes each greater than 20 ?

(A) 69

(B) 73

(C) 75

(D) 79

(E) 83

This is a fairly easy question testing on the basic or very fundamental knowledge on Primes. :)

:idea: GMAT Track of Thought 1

What are Prime Numbers? :think:

A prime number (or a prime) is a positive integer greater than 1, that has exactly two distinct positive divisors(factors),1 and itself. The integer 1 is not considered a prime number since it has only one divisor, 1. The only even prime number is 2.
If I have to list out primes between 1-10 they would be { 2,3,5,7}

:idea: GMAT Track of Thought 2

Coming back to the question-
Three different primes, each greater than 20 would be the 3 immediate consecutive primes greater than 20 to minimize the sum.
They are 23,29,31
Sum of these primes = 23 + 29 + 31 =83

(option e)

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What is the least integer that is a sum of three different primes each 20 Dec 2023, 04:15
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i got A as an answer because i thought that it is not mentioned that all 3 primes have to be distinct
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What is the least integer that is a sum of three different primes each 20 Dec 2023, 07:21
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carcass
What is the least integer that is a sum of three different primes each greater than 20 ?

(A) 69

(B) 73

(C) 75

(D) 79

(E) 83
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23 + 29 + 31 = 83, Answer must be (E)
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What is the least integer that is a sum of three different primes each 31 Jul 2025, 09:10
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