What Is the Significance of 3.5036799918564934004113 in Mathematics?

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SUMMARY

The number 3.5036799918564934004113 is speculated to be related to the mathematical expression e + π/4, and may have connections to the Zeta function. The discussion highlights the significance of its representation as a real number, prompting considerations about computable versus real numbers. Notably, the number lacks the digit '2' in its 23-digit base 10 representation, suggesting potential clues for further exploration. Participants emphasize the importance of context, particularly in relation to the programming class from which the question originated.

PREREQUISITES
  • Understanding of real numbers and their properties
  • Familiarity with the mathematical constants e and π
  • Basic knowledge of the Zeta function
  • Concepts of computable numbers versus real numbers
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  • Investigate the properties of the Zeta function and its applications
  • Explore the implications of computable versus real numbers in mathematics
  • Learn about the method of complements in number theory
  • Calculate e + π/4 to 22 decimal places for comparison
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Mathematics students, educators, and enthusiasts interested in number theory, particularly those exploring the properties of real numbers and their computational implications.

Norm850
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3.5036799918564934004113

I need help identifying this real number. The closest I have gotten is e+pi/4.

But I think it has something to do with the Zeta function?

Please help.

Thanks
 
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Where did you find this number?
 
It was asked by my professor as HW, but I have looked and looked and can not find anything online... I was wondering if anyone else knew where to look or even how to look?

Thanks.
 
Then maybe you should give more information on what class you are taking and what subject you just covered.
 
It's just a programming class, so the question isn't all that relevant. Not exactly sure why he asked us this question, but he did. I was trying to use an online inverse symbolic calculator or something, but I just can't find anything.
 
Off hand there doesn't seem to be anything special about this number.
 
The class and subject question certainly is relevant and has everything to do with it.

Have you converted to binary and noticed anything?

The presentation of the number as a real is noteworthy because machine operations can't work with reals... maybe the idea is to get you thinking about computable vs real numbers?

Have you noticed it interesting that a 23 digit base 10 number does not have an instance of 2?
Maybe this is a clue to look at the method of compliments?

Or it may be like the version of 20 questions where one only pretends to pick something, but keeps all answers consistent with previous answers. Just to see where it goes?
 
Norm850 said:
3.5036799918564934004113
I need help identifying this real number. The closest I have gotten is e+pi/4.
And what do you get if you compute e+pi/4 to 22 decimal places?
 
bahamagreen said:
The class and subject question certainly is relevant and has everything to do with it.

Have you converted to binary and noticed anything?

The presentation of the number as a real is noteworthy because machine operations can't work with reals... maybe the idea is to get you thinking about computable vs real numbers?

Have you noticed it interesting that a 23 digit base 10 number does not have an instance of 2?
Maybe this is a clue to look at the method of compliments?

Or it may be like the version of 20 questions where one only pretends to pick something, but keeps all answers consistent with previous answers. Just to see where it goes?
What you've said is really intriguing. Please expand.
 
  • #10
bahamagreen said:
interesting that a 23 digit base 10 number does not have an instance of 2
Is it? Seems like an 8% chance, and similarly for any other nonzero digit. So it's not that surprising that some digit doesn't feature.
method of compliments?
Flattery will get you nowhere.
 
Last edited:

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