Question: Given any integer m2, is it possible to find a sequence of m1 consecutive positive integers none of which is prime? Explain your answer. ____________________________________________________________________________________________________________________________________________________________

Given any integer m2, is it possible to find a sequence of m1 consecutive positive integers none of which is prime? Explain your answer. ____________________________________________________________________________________________________________________________________________________________

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

Describe how to construct the function cpo ((D E), v) of two cpos (D, vD) and (E, vE). Prove that ((D E), v) is a cpo. (You may use facts about least upper bounds provided you state them clearly.)...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

) Consider integer division of one two's-complement binary number by another. Programming languages may vary in the result when one argument is negative. What differing conventions might they be...

The current distribution on a terminated and matched long linear (travelling wave) antenna of length 7, positioned along the z-axis and fed at its one end, is given by I = 21ej,0z'l where I is a...

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

Consider the trigonometric series a0 2 + X r=1 (ar cos rx + br sin rx) where a0, a1, a2, . . . and b1, b2, . . . are constants and suppose that f(x) is a periodic function of x with period 2. (a)...

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

Instructions The following five sections; Direct proof Proof by contrapositive Proof by contradiction Proof with cases Proof of a biconditional Two proofs in each section from the proposed exercises....

Hello, please help with the codes below using python programming (beginner level). The instructions are attached in the photos. If they can be done within the next hour, that would be great. Thank...

Let i and j be positive integers. (i) Prove that there exist natural numbers a and b such that ai = bj+gcd(i, j). You may use standard results provided that you state them clearly. [4 marks] (ii) Let...

The following financial information is related to Tamarisk Group, a service company. Revenues 880,000 Income from continuing operations 110,000 Comprehensive income 132,000 Net income 99,000 Income...

A physical inventory of The Liverpool Company taken on 31 December reveals the following. per unit Element units Cost Sunday car audio equipment Speakers 353 $ 108 $ 116 stereo 268 129 119 amplifiers...

Fraining stateil Currinutum 3 9 4 3 5 , 3 2 1 5 4 Test - Intermediate Rental Real Estate ( 2 0 2 5 ) Rental Income Question 3 of 1 5 . Beyond rental income and expenses, what information is needed to...

Do you think that that modern campaign finance in the US is a good example of Influence Market corruption? Why or why not? Provide specific examples in your answer.

Calculate the selling price for one laptop for the following data: Number of Laptops: 30 Material cost: 650os Labors Cost: 2000S Factory Expenses: 30% of prime cost. Administration cost: 7% of...

For the circuit shown in Fig. 1, one can have different combinations for the MOSFET T and diode D, as given in Table 1. Assuming that the load current is il = 38 A constant, the components should be...

Design deterministic finite automata (DFA) that recognizes each of the below languages a) b) L1 := {w | (w)3 mod 4 0} L2 := {w | (w)3 mod 4 + 0} defined over the alphabet E = {0, 1, 2}. Nota Bene:...

A firm uses labour, L and capital K, to produce a single product, X. capital is fixed but labour is variable. The firms production function is: X=-0.2L3 + 18L2 + 1620L. Where X is the number of units...

Determine if the overhead allocated to the product relates to a single plantwide overhead rate method, multiple production department factory overhead rate method, or activity-based costing...

62. Suppose that the number of typographical errors in a new text is Poisson distributed with mean . Two proofreaders independently read the text. Suppose that each error is independently found by...

46. Let {N(t), t 0} be a Poisson process with rate that is independent of the sequence X1, X2, . . . of independent and identically distributed random variables with mean and variance 2. Find N(t)...

29. Let X and Y be independent exponential random variables with respective rates and , where > . Let c > 0. (a) Show that the conditional density function of X, given that X + Y = c, is (b) Use...