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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## p(12)+11 tagged by: Brent@GMATPrepNow ##### This topic has 3 expert replies and 2 member replies ## p(12)+11 If n is a positive integer greater than 1, then p(n) represents the product of all the prime numbers less than or equal to n. The second smallest prime factor of p(12)+11 is A)2 B)11 C)13 D)17 E)211 OAE ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12534 messages Followed by: 1245 members Upvotes: 5254 GMAT Score: 770 j_shreyans wrote: If n is a positive integer greater than 1, then p(n) represents the product of all the prime numbers less than or equal to n. The second smallest prime factor of p(12)+11 is A)2 B)11 C)13 D)17 E)211 OAE By the definition, p(12) = (11)(7)(5)(3)(2) So, p(12) + 11 = (11)(7)(5)(3)(2) + 11 = 11[(7)(5)(3)(2) + 1] I factored out the 11 = 11[210 + 1] = 11(211) NOTE: 11 is prime and 211 is prime The second smallest prime factor of p(12)+11 is p(12)+11 has only 2 prime factors: 11 and 211 So, the second smallest is 211 (the smallest is 11) Answer: E Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources Last edited by Brent@GMATPrepNow on Thu Apr 19, 2018 3:00 pm; edited 2 times in total GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15019 messages Followed by: 1859 members Upvotes: 13060 GMAT Score: 790 Brent@GMATPrepNow wrote: The second smallest prime factor of p(12)+11 is p(12)+11 has only 2 prime factors: 11 and 211 So, the second smallest is 11 Cheers, Brent Brent, I think that you're misinterpreting the meaning of second smallest. Of the two prime factors of p(12)+11, 11 is the smallest, so 211 is the second smallest. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12534 messages Followed by: 1245 members Upvotes: 5254 GMAT Score: 770 GMATGuruNY wrote: Brent@GMATPrepNow wrote: The second smallest prime factor of p(12)+11 is p(12)+11 has only 2 prime factors: 11 and 211 So, the second smallest is 11 Cheers, Brent Brent, I think that you're misinterpreting the meaning of second smallest. Of the two prime factors of p(12)+11, 11 is the smallest, so 211 is the second smallest. Good catch, Mitch. I read it as second largest the whole time. I have edited my response. Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! Legendary Member Joined 10 May 2014 Posted: 1072 messages Followed by: 23 members Upvotes: 205 j_shreyans wrote: If n is a positive integer greater than 1, then p(n) represents the product of all the prime numbers less than or equal to n. The second smallest prime factor of p(12)+11 is A)2 B)11 C)13 D)17 E)211 OAE P(12) = 2 x 3 x 5 x 7 x 11 Therefore, P(12)+11 = 2 x 3 x 5 x 7 x 11 + 11 = 11(2x3x5x7+1) = 11(211) Only two primes therefore first smallest- 11 Second smallest- 211 Answer: 211 _________________ Bhoopendra Singh & Sushma Jha - Founder "GMATinsight" Testimonials e-mail: info@GMATinsight.com I Mobile: +91-9999687183 / +91-9891333772 To register for One-on-One FREE ONLINE DEMO Class Call/e-mail One-On-One Private tutoring fee - US$40 per hour & for FULL COURSE (38 LIVE Sessions)-US$1000 Legendary Member Joined 12 May 2015 Posted: 518 messages Upvotes: 10 Test Date: 3 Oct Target GMAT Score: 750 What a great question I have heard the term "second smallest" in any GMAT question for the first time first smallest -11 second smallest -211 is the answer. • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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