首页
外语
计算机
考研
公务员
职业资格
财经
工程
司法
医学
专升本
自考
实用职业技能
登录
外语
A student made a conjecture that for any integer n, the integer An + 3 is a prime number. Which of the following values of n cou
A student made a conjecture that for any integer n, the integer An + 3 is a prime number. Which of the following values of n cou
admin
2014-08-13
62
问题
A student made a conjecture that for any integer n, the integer An + 3 is a prime number. Which of the following values of n could be used to disprove the student’s conjecture?
Indicate
all
such values.
选项
A、1
B、3
C、4
D、6
E、7
答案
B,D
解析
Recall that a prime number is an integer greater than 1 that has no positive divisors other than 1 and itself.
The answer choices for this question are integer values of n. Any of the answer choices for which the integer 4n + 3 is
not
a prime number could be used to disprove the conjecture that for any integer n, the integer An + 3 is a prime number.
To answer this question, you must determine for each of the answer choices whether the integer 4n + 3 is a prime number. The evaluations are as follows:
Choice A: For n=1, the integer 4n + 3 is 4(1)+ 3, or 7, which is a prime number.
Choice B: For n = 3, the integer 4n + 3 is 4(3)+ 3, or 15, which is not a prime number.
Choice C: For n = 4, the integer An + 3 is 4(4)+ 3, or 19, which is a prime number.
Choice D: For n = 6, the integer An + 3 is 4(6)+ 3, or 27, which is not a prime number.
Choice E: For n = 7, the integer 4n + 3 is 4(7)+ 3, or 31, which is a prime number.
Therefore, of the answer choices, only Choices B and D, that is, n = 3 and n = 6, result in integers 4n + 3 that are not prime numbers. Thus, the correct answer consists of Choices B and D.
转载请注明原文地址:https://kaotiyun.com/show/h5kO777K
本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
相关试题推荐
RowanTorrezwillneverbeabletobearhislate(已故的)fathertellhimthatheloveshim,butyesterdayhe【C1】______receivedhisd
Caraccidentskillmorethanonemillionpeopleandinjureapproximately50millioneachyear.【C1】______,millionsoffishcans
WehavequiteabitofinformationaboutancientEgyptianmedicine.Doctors’instructionshavebeenfoundtotellus【56】theydid
Allthefollowingcasesareon-the-jobsmokingexceptthat______.Accordingtothepassage,on-the-jobsmokingaffectsanemplo
Theauthorseemstothinkthatakid’spoorrelationshipwithhisclassmateswould______.Whichofthefollowingisthemajor
Outofallthestudentswhoenrollinamassiveopenonlinecourse(MOOC),onlyabout5percentcompletethecourseandreceive
You’dsoundalotmorepoliteifyoumakearequest______aquestion.
Robertlookedasifhewereaboutto______whenhismotiveswerequestioned.
NocountryintheworldhasmoredailynewspapersthantheUSA.Therearealmost2,000ofthem,ascomparedwith180inJapan,
Fortheparabolay=x2-4x-12inthexy-plane,findthefollowing.(a)Thex-intercepts(b)They-intercept(c)Coordinatesoft
随机试题
现阶段我国民主党派共有()
企业在分析持有至到期投资的质量时,不必关注的是()
某患者女性,35岁。多次检测尿糖(+)~(++),OGTT各点血糖都在正常范围。应考虑诊断
青年脑栓塞,栓子来源多见于
某中外合资房地产开发公司,2014年发生以下业务:(1)1月通过竞拍取得市区一处土地的使用权,支付土地出让金6000万元,缴纳相关税费240万元。(2)上述土地用于开发建设普通标准住宅楼、会所和写字楼各一栋,占地面积各为1/3。
脸谱脱胎于戏曲中对“花脸”这一行当重施油彩的化妆,“花脸”指我国戏曲的四大行当中的()。
根据下表回答题。下列说法正确的是()。
谈一谈对第二条反蒋战线形成的认识。
在资本可以自由流动的固定利率制下,下列说法通常错误的是()。
1919年5月4日发生在北京的一场以青年学生为主,广大群众、市民、工商人士等阶层共同参与的,通过示威游行、请愿、罢工、暴力对抗政府等多种形式进行的爱国运动,是中国人民彻底的反对帝国主义、封建主义的爱国运动。1935年12月9日,北平(北京)大中学生数千人举
最新回复
(
0
)