首页
登录
职称英语
A student made a conjecture that for any integer n, the integer An + 3 is a prim
A student made a conjecture that for any integer n, the integer An + 3 is a prim
游客
2024-01-12
38
管理
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://tihaiku.com/zcyy/3355753.html
相关试题推荐
Studentsatacertainuniversityhavecomplainedthatsomeoftheirprofessorsd
Schoolsexpecttextbookstobeavaluablesourceofinformationforstudents
Schoolsexpecttextbookstobeavaluablesourceofinformationforstudents
Schoolsexpecttextbookstobeavaluablesourceofinformationforstudents
Collegeprofessor:Collegestudentsdonotwritenearlyaswellastheyusedto.
InMarch300collegestudentsturnedoutinWashingtontoprotestagainstpropos
Inaphysicaleducationclass,20studentsweretestedonarcherytargetshootin
Theproportionofwomenamongstudentsenrolledinhighereducationprogramshas
Asbusinessgrowsmorecomplex,studentsmajoringinspecializedareaslikethos
JustasreadingSamuelPepys’sdiarygivesastudentasenseoftheseventeenth
随机试题
Istillrememberthatnosooner____________________(我们一得出这个结论,他们就同意了).hadwe
WhichofthefollowingstatementsisCORRECTaboutthetornadoes?[br][origina
患者,女性,22岁。白带增多,外阴瘙瘁,诊断为“念珠菌阴道炎”。有关该疾病的描述
关于油气隔离装置,说法正确的是(____)。(A)其作用为隔离变压器油与氮气
1997-148.回阳救逆汤中配伍五味子的用意是 A.合干姜以温阳散寒化饮B
人在每一瞬间,将心理活动选择了某些对象而忽略了另一些对象。这一特点指的是注意的(
咨询方案中需要明确求助者的权利之一是()。 (A)完成自我探索(B)提出终
关于公债发行市场与公债流通市场的说法,正确的有( )。A.公债发行市场以公债流
下列有关注册会计师利用以前审计获取的审计证据的说法中,错误的是()。A.如
通航安全水上水下施工作业涉及的范围包括()。A.设置、拆除水上水下设施 B.
最新回复
(
0
)