Number Patterns: 11,13,17,19,23,29,31,....?

  • Thread starter Thread starter lahirurana
  • Start date Start date
  • Tags Tags
    Patterns
Click For Summary
SUMMARY

The number pattern discussed is 11, 13, 17, 19, 23, 29, 31, with the next number being 37, identified as a prime number. Participants initially suggested 35 based on perceived differences between consecutive numbers, but later recognized that the sequence is defined by the inherent property of prime numbers rather than a mathematical progression. The discussion highlights the distinction between patterns and sequences, emphasizing that all sequences are patterns, but not all patterns qualify as sequences.

PREREQUISITES
  • Understanding of prime numbers and their properties
  • Basic knowledge of number patterns and sequences
  • Familiarity with mathematical reasoning and problem-solving
  • Ability to differentiate between sequences and patterns
NEXT STEPS
  • Research the properties of prime numbers and their significance in mathematics
  • Explore different types of number patterns and sequences
  • Learn about mathematical reasoning techniques for identifying patterns
  • Study the concept of sequences and their definitions in mathematics
USEFUL FOR

Mathematics enthusiasts, educators, students learning about number theory, and anyone interested in understanding prime numbers and number patterns.

lahirurana
Messages
10
Reaction score
4
Moved form a technical forum, so homework template missing
Im little bit new to number patterns. Can anyone please solve this for me

11,13,17,19,23,29,31,?

This maybe pretty easy one but I am little bit confused.
 
Physics news on Phys.org
What have you tried to do to solve it, so far ?
 
BvU said:
What have you tried to do to solve it, so far ?
Different between consecutive numbers are 2 4 2 4 6 2
As my opinion next should be 4. So the answer should be 31+4=35
If the pattern go further it should be like 2 4 2 4 6 2 4 6 8 2 4 likewise. But the answe is given as 37
 
lahirurana said:
Different between consecutive numbers are 2 4 2 4 6 2
As my opinion next should be 4. So the answer should be 31+4=35
If the pattern go further it should be like 2 4 2 4 6 2 4 6 8 2 4 likewise. But the answe is given as 37
In my first attempt, I got the same number as you did. But looking at the numbers again, I realized that this is not a sequence based on a progression, but is related to an inherent property of the numbers (in other words, it has nothing to do with the difference or any other mathematical relation between two consecutive numbers). Hope this is a helpful hint.
 
  • Like
Likes   Reactions: BvU and lahirurana
DrClaude said:
In my first attempt, I got the same number as you did. But looking at the numbers again, I realized that this is not a sequence based on a progression, but is related to an inherent property of the numbers (in other words, it has nothing to do with the difference or any other mathematical relation between two consecutive numbers). Hope this is a helpful hint.
Ohhhh s*** How could i miss that. Thank you very much sir. Primary Numbers
 
  • Like
Likes   Reactions: Nik_2213 and CWatters
If it's any consolation: I went for 35 too !

:welcome:
 
  • Like
Likes   Reactions: lahirurana
There are more like this ill add them later. First i have to try something on them. thank you very much.
 
BvU said:
If it's any consolation: I went for 35 too !
That shows that such problems can have multiple solutions. Unless a context is given, I see no reason why 35 wouldn't be a valid answer.
 
  • Like
Likes   Reactions: lahirurana
lahirurana said:
Ohhhh s*** How could i miss that. Thank you very much sir. Primary Numbers
Does that actually count as a "sequence" given there isn't an equation for the nth term?
 
  • #10
CWatters said:
Does that actually count as a "sequence" given there isn't an equation for the nth term?
I don't think that it can be take from nth term
 
  • #11
CWatters said:
Does that actually count as a "sequence" given there isn't an equation for the nth term?
The OP never used the term sequence, only pattern.
 
  • Like
Likes   Reactions: CWatters and lahirurana
  • #12
DrClaude said:
The OP never used the term sequence, only pattern.
Yep All sequences are patterns but not all patterns will be squences
 
  • Like
Likes   Reactions: jedishrfu
  • #13
Good catch.
 
  • Like
Likes   Reactions: Nik_2213
  • #14
CWatters said:
Does that actually count as a "sequence" given there isn't an equation for the nth term?
That is definitely a sequence. There is no such requirement that an equation is needed for the nth term.
 
  • #15
SammyS said:
That is definitely a sequence. There is no such requirement that an equation is needed for the nth term.
I agree.
 
  • Like
Likes   Reactions: SammyS
  • #16
lahirurana said:
But the answe is given as 37
BvU said:
If it's any consolation: I went for 35 too !
37 seemed to me to be the obvious next number in the sequence, for the reason that DrClaude gave.

lahirurana said:
Primary Numbers
We call them prime numbers in English.
 
  • #17
And here's a formula for the whole sequence, starting with ##2,~3,~5,~7~...##
Capture2.JPG
 

Attachments

  • Capture2.JPG
    Capture2.JPG
    10 KB · Views: 503
Last edited:

Similar threads

  • · Replies 15 ·
Replies
15
Views
2K
Replies
9
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 14 ·
Replies
14
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K