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
30
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://jikaoti.com/ti/OcdYFFFM
本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
相关试题推荐
MoviesarethemostpopularformofentertainmentformillionsofAmericans.Theygotothemoviestoescapetheirnormalevery
Thecityhasalwaysbeenanengineofintellectuallife,fromthe10-centurycafesofLondon,wherecitizensgatheredtodiscuss
Theunderlinedword"average"inParagraph1means______.Thebesttitleforthispassagemaybe______.
Inancienttimesthemostimportantexaminationswerespoken,notwritten.IntheschoolsofancientGreeceandRome,testingus
Allflights________becauseoftheheavysnow,wehadtotakethetrain.
Thefollowingdatasufficiencyproblemsconsistofaquestionandtwostatements,labeled(1)and(2),inwhichcertaindataare
Intherectangularfigureabove,theareaoftheshadedregionisequaltotheareaofthenon-shadedrectangle.IfAB=6,BC=4,
Inarightisoscelestriangle,thelengthsofthetwononhypotenusesidesaredesignateda.Whatistheareaofthetrianglein
Istheperimeterofacertainrectangulargardengreaterthan50meters?(1)Thetwoshortersidesofthegardenareeach15met
Thecost,indollars,ofmanufacturingxmicrowavesis6,000+300xdollars.Theamountreceivedwhensellingthesexmicrowaves
随机试题
铜的导热性良好,所以铜和铜合金的焊接性良好。()
A.肌腱损伤B.骨折延迟愈合C.血管神经损伤D.骨折不愈合E.骨筋室综合征肱骨外科颈骨折易造成
下列与二氧化碳潴留无明显关系的是
在安静状态下,人体调节产热活动最重要的体液因素是()
将下列句子组成语段,排列正确的一项是()①我曾读到一个警句,是“愿你生命中有够多的云翳,来造成一个美丽的黄昏”。②生命中不是永远快乐,也不是永远痛苦,快乐和痛苦是相生相成的。③在快乐中我们要感谢生命,在痛苦中我们也要感
两个歹徒在作案杀人时被警察逮住却拒不认罪,警方把歹徒关在两个房间分别进行审讯,并给出同样的政策:如果两个人都坦白认错,那么都将判处无期徒刑;如果一个坦白、另一个抵赖,则坦白者将被无罪释放,抵赖者将被判处死刑;如果两个都抵赖,则因为证据不足两人都只按照偷窃罪
法国《人权宣言》的主要内容有哪些?
毛泽东同志曾经指出:“实行国家资本主义,不但要根据需要和可能,而且要出于资本家自愿,因为这是合作的事业,既是合作就不能强迫,这和对地主不同。”换言之,资产阶级本身可以不接受赎买而采取对立的立场,但事实是,资本家阶级放弃了对立,自愿接受了党和政府的和平赎买政
不属于服务性程序的是______。
下列叙述中正确的是
最新回复
(
0
)