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I have a homework ask you to find the first string of (at least)10, 50, 100 consecutive composites. I have no idea how to use maple. HELP

all i can think of is 

 

>ithprime(i+1) - ithprime(i) = 10

>print(i+1, i)

 

and combine it with some loop

i dont know how to set up a loop

 need a lot of help 

Maple's isprime is not a definitive primality test. The input has to pass a "strong pseudo-primality test" and "one Lucas test". This is well documented. I thought I remembered that there is also a way to get Maple to perform a true primality test, but I don't remember how and don't see anything about this in the Maple help system.

Is my memory faulty, or is there no definitive primality test in Maple?

Thanks in advance,

Doug

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Douglas B. Meade  <><
Math, USC, Columbia, SC 29208  E-mail: mailto:meade@math.sc.edu
Phone:  (803) 777-6183         URL:    http://www.math.sc.edu

Hello,

I was wondering why there is difference in computer speed between two almost the same calculations.

Example:

61! + 1 costs 271 sec and 59! + 1 almost 0? Why is that? When there are small prime factors, the

calculation goes often faster, why? hanks in advance!

Dear mapleprimes users,

I have a problem with this function:

B is the length of my array

A := Array(1..B,0);

for i from 1 to B do
p = nextprime(i)

a = primroot(p)

A[i] := A[i] + convert((Usage(mlog(b,a,p,method=indcalc), output=[cputime,output],quiet)[1],decimal,15))
end do;

A;

My idea is to create an array A with all the CPUtimes from the 1st prime til the Bth prime, and then plot it.

But my problem is that I get an error; Illegal use of an object as a name.

I don`t know what to do could you help me?

 

Thanks!

 

 

How do I use msolve to solve y^2 + y - 11=0 in Zp for all primes p with 41=< p =<107 ?

Also, using the results make a conjecture describing the primes p for which there are solutions to y^2 + y - 11 = 0 in Zp

This was what I did.

41<=p<=107

msolve(y^2 + y - 11=0, p)

but I received this error, no implementation of msolve matches the arguments in call, msolve(y^2 + y - 11=0, p)

Any help is appreciated. Thanks

if given a prime ideal p, is it possible to find back possible ideal A which output this prime ideal

such that p*A = 0

 

 

Nm= p1. p2 ...pm + 1, for m more than or equals 1.

 

So N1 = p1 + 1 = 2 + 1 = 3, N2 = p1 p2 + 1 = 2  3 + 1 = 7, etc.

 

We prove that Nm is not divisible by any of p1, p2, . . . , pm, so that Nm is either a prime or it is divisible by a prime larger than pm.

 

(c) Use Maple to find out which of these numbers Nm, for m = 1, 2, . . . , 15, is actually prime.

 

Use Maple to compare pm with the smallest prime number that divides Nm, for m =1, 2, . . . , 15.

 

I`ve written this program:



It determines the power of the Ithfactor, only one problem. When I try to compute the factor of 512 I get 2_2 (subscript) which is extremly stupid. I want to know how I can change my program so that it can give the power of every ith factor. Thanks!

Hi,

I`m using this program to find the largest prime factor:



Problem: If I insert largest_prime(p^n), where p is prime, it returns n. Which I dont want! I want p to be returned.

Please help me!

                                                                          

Why can't maple 15 solve this eqn. [n= 10]

solve(ithprime(n)=29,n);

 

What is the command to get a sequence of the first twenty prime numbers

Find the product of the square root of all prime numbers less than 100.
Hint: The function isprime determines the primality of an integer.

I've been given a question:

Let pn denote the nth prime number. Then p1 = 2, p2 = 3, p3 = 5, p4 = 7, p5 = 11, . . . .

It is known that the infinite sum 1/p1 + 1/p2 + 1/p3 + · · · + 1/pn + · · · = infinity.

Find the smallest positive integer N so that 1/p1 + 1/p2 +1/p3 + · · · + 1/pN−1 + 1/pN > e. [Hint : ithprime(n) generates the nth prime number.]

How do I start off?

Many thanks!

I dont know what to do any further...

I have some function containing HeunG as a function

it is of the following form

f(k)=argument(functions containing HeunG) - ln(2)*k

now plotting this works...

But when differentiating with respect to k and then plotting it gives me the following message:

Warning, expecting only range variable k in expression (I*((1/2)^(1/2*I*k))^2*HeunG(3,-9/2+3/4*I*k-3/4*k^2,-1+1/2*I*k,-1/2+1/2*I*k,1/2,1+I*k,1/2...

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