top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

Is (2^2019 − 1) a prime number?

0 votes
250 views
Is (2^2019 − 1) a prime number?
posted Jun 24, 2019 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

No


2^2019-1=(2^673)^3-1^3 ---> a^3-b^3=(a – b)*(a^2 + ab + b^2) this is not a prime

answer Jun 24, 2019 by Hanifa Mammadov



Similar Puzzles
+1 vote

Is it possible to write down 1,2,3..100 in some order (one after an other), such that the sum of any two adjacent numbers is a prime number?

0 votes

Prime number 31 can be expressed in the form n^5 -1, where n=2. Are there any other primes that can be expressed this way?

0 votes

What is the shortest distance between circle A defined by (x − 5)2 + (y − 4)2 = 4 and circle B defined by (x − 1)2 + (y − 1)2 = 1? There is some point P on circle A closest to B, and there is another point Q on circle B closest to A. What are the coordinates of P and Q?
enter image description here

+1 vote

Find the sum of all the prime numbers larger than 2 less than 10^12 that are 1 more than a perfect square. Because the number can get pretty big provide the answer mod 1007.

Note: Problem shouldn't take much more than one minute if your answer is taking too long consider looking for optimizations.

...