A Determining rationality of real numbers represented by prime digit sequence

Click For Summary
The discussion centers on the rationality of real numbers represented by a prime digit sequence. The original poster seeks validation of their answer regarding this mathematical concept. However, the thread has been locked, and the OP has been directed to repost their question in a designated homework forum. This indicates that the topic may require more specialized attention or guidance. The conversation highlights the importance of appropriate forum etiquette for academic inquiries.
Jiketz
Messages
2
Reaction score
0
TL;DR
The problem describes a sequence of real numbers formed by arranging prime digits in a certain pattern. If the original real number is rational, then all subsequent numbers formed from its decimal expansion are also rational. However, there exists an irrational number with the same pattern whose subsequent numbers are still rational.
I would like to know if my answer is correct and if no ,could you correct.But it should be right I hope:
Unbenanntx.png
 
Mathematics news on Phys.org
Thread locked. The OP has been advised to repost the question in one of the homework forum sections.
 

Similar threads

I On base-b expansion of nonnegative reals
  • · Replies 7 ·
Replies
7
Views
2K
I How to relate multiplication of irrational numbers to real world?
  • · Replies 7 ·
Replies
7
Views
2K
I Rational sequence converging to irrational
  • · Replies 13 ·
Replies
13
Views
8K
MHB Large Prime number unable to compute
  • · Replies 2 ·
Replies
2
Views
8K
I Expressing any given point on plane with one unique number
  • · Replies 4 ·
Replies
4
Views
2K
I Basic measurement theory question
  • · Replies 5 ·
Replies
5
Views
2K
A Help needed with derivation: solving a complex double integral
  • · Replies 1 ·
Replies
1
Views
2K
I Questions regarding Kurepa's Conjecture
  • · Replies 1 ·
Replies
1
Views
2K
I Extend Euler Product Convergence Over Primes: Basic Qs
  • · Replies 0 ·
Replies
0
Views
1K
Discussion on Astronomical Prime Numbers and Re-evaluating the Primali
  • · Replies 5 ·
Replies
5
Views
1K