What's the Pattern in This Sequence of Numbers?

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In summary, the next number in the sequence is 117373. The sequence follows a pattern where each number is the one after with more letters, and the first 9 numbers are prime numbers except for 1. However, this sequence is not the original work of the conversation participants.
  • #1
davee123
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What's the next number?

1, 3, 11, 13, 17, 23, 73, ?

DaveE
 
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  • #2
Alright, more numbers in the sequence:

1, 3, 11, 13, 17, 23, 73, 101, 103, 111, 113, 117, 123, 173, 323, 373, ?

DaveE
 
  • #3
A really teasing sequence.

Though I am trying to figure out for so many days, but failed. Anyway I would make a blind guess:


No, wait a minute:

...1103, 1111, 1113, 1117, 1123, 1173, 1323, 1373, 3323, 3373, 11373, 13323, 13373, 17373, 23323, 23373, 73373, 101373, 103323, 103373, 111373, 113323, 113373, 117373

Not my own work ;)

Every next number is the one next with more number of letters.

It added to the confusion that the first sequence contains prime numbers except the first one.
 
Last edited:
  • #4
mabs239 said:
Every next number is the one next with more number of letters.

Ding!

mabs239 said:
It added to the confusion that the first sequence contains prime numbers except the first one.

I didn't even notice that, but that's an interesting point! The first 9 numbers are all coincidentally prime, excluding 1, which is sort of a prime number anyway on certain technicalities.

I think I had heard some variant on the sequence before, but I couldn't seem to find it, so I figured it'd be worth posting...

DaveE
 
  • #5
davee123 said:
I didn't even notice that, but that's an interesting point! The first 9 numbers are all coincidentally prime, excluding 1, which is sort of a prime number anyway on certain technicalities.

DaveE

Thats what lead me off. I was wondering how primes fit into all of it.
 

1. What is "Another Sequence"?

"Another Sequence" refers to a mathematical or numerical series or pattern that follows a specific rule or algorithm. It can be represented as a sequence of numbers or symbols that follow a certain order.

2. How is "Another Sequence" different from a regular sequence?

"Another Sequence" is different from a regular sequence in that it may follow a more complex or non-linear pattern, and may have multiple rules or algorithms governing its progression. It may also have a different starting point or initial value compared to a regular sequence.

3. What are some examples of "Another Sequence"?

Examples of "Another Sequence" include the Fibonacci sequence, the Pascal's triangle, and the prime numbers sequence. These sequences follow specific patterns or rules in their progression and are widely studied in mathematics and science.

4. How is "Another Sequence" used in science?

"Another Sequence" is used in various fields of science, such as physics, chemistry, and biology, to model and understand natural phenomena. For example, sequences can be used to describe the growth of populations, the behavior of particles, and the structure of molecules.

5. Can "Another Sequence" be infinite?

Yes, "Another Sequence" can be infinite, meaning that it can continue on indefinitely without reaching an end point. Some sequences, such as the Fibonacci sequence, have an infinite number of terms. However, not all sequences are infinite and some may have a finite number of terms.

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