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Register now and save up to $200 Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code ## p(12)+11 tagged by: Brent@GMATPrepNow This topic has 3 expert replies and 2 member replies j_shreyans Legendary Member Joined 07 Aug 2014 Posted: 510 messages Followed by: 5 members Thanked: 3 times #### p(12)+11 Sat Sep 13, 2014 8:43 am Elapsed Time: 00:00 • Lap #[LAPCOUNT] ([LAPTIME]) 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 Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums! ### GMAT/MBA Expert Brent@GMATPrepNow GMAT Instructor Joined 08 Dec 2008 Posted: 10759 messages Followed by: 1212 members Thanked: 5144 times GMAT Score: 770 Sat Sep 13, 2014 10:12 am 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 Answer: E Cheers, Brent _________________ Brent Hanneson – Founder of GMATPrepNow.com Use our video course along with Check out the online reviews of our course Last edited by Brent@GMATPrepNow on Sat Sep 13, 2014 10:50 am; edited 1 time in total GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMATGuruNY GMAT Instructor Joined 25 May 2010 Posted: 13355 messages Followed by: 1779 members Thanked: 12880 times GMAT Score: 790 Sat Sep 13, 2014 10:45 am 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 GMAT Private Tutor GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "Thank" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. 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 Brent@GMATPrepNow GMAT Instructor Joined 08 Dec 2008 Posted: 10759 messages Followed by: 1212 members Thanked: 5144 times GMAT Score: 770 Sat Sep 13, 2014 10:52 am 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 – Founder of GMATPrepNow.com Use our video course along with Check out the online reviews of our course GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months! ### Top Member GMATinsight Legendary Member Joined 10 May 2014 Posted: 998 messages Followed by: 21 members Thanked: 203 times Sun Sep 14, 2014 9:49 pm 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 _________________ Prosper!!! Bhoopendra Singh & Sushma Jha "GMATinsight" Contact Us Testimonials To register for One-on-One FREE ONLINE DEMO Class Call/e-mail e-mail: info@GMATinsight.com Mobile: +91-9999687183 / +91-9891333772 Get in touch for SKYPE-Based Interactive Private Tutoring One-On-One Classes fee - US$40 per hour &
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nikhilgmat31 Legendary Member
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Wed Jul 01, 2015 9:32 pm
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.

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