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Ramanujan Nagell Equation topics you can learn

Study of Diophantine equations of the form: x^2 - D = 2^n
Special cases and solutions for specific values of D
General properties
Connection to Ramanujan's work in number theory

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What is Ramanujan-Nagell equation?

The Ramanujan-Nagell equation is a Diophantine equation, which is an equation to be solved in integers where one of the variables appears as an exponent. It was named after Srinivasa Ramanujan, who conjectured there would be only five integer solutions, and after Trygve Nagell, who proved it.

The equation is as follows:

2ⁿ – 7 = x²
where n and x are integers.

The only five integer solutions to the equation are:

(n, x) = (3, 1), (4, 3), (5, 5), (7, 11), and (15, 181)

Uses of Ramanujan-Nagell equation

The Ramanujan-Nagell equation has no direct applications. However, it is a good example of a Diophantine equation with a very limited number of solutions. This makes it a good testing ground for new methods of solving Diophantine equations.

Why study Ramanujan-Nagell equation?

Studying the Ramanujan-Nagell equation gives a strong foundation in number theory and Diophantine equations. This can be useful in a number of careers, including mathematician, computer scientist (cryptography and coding theory), physicist (quantum mechanics and string theory), and financial analyst (risk assessment and portfolio optimization).

Essential information about your Ramanujan Nagell Equation lessons
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Learn Ramanujan-Nagell Equation Online with Best Ramanujan-Nagell Equation Tutors

What sets Wiingy apart

4,500+ Expert verified tutors

Zero-cost Free Trial Lesson

No subscriptions Sign up with 1 lesson

Transparent refunds No questions asked

Starting at $28/hr Affordable 1-on-1 Learning

Top Ramanujan Nagell Equation tutors available online

Zinnia Oakley

Holly Wadsworth

Ayla Martin

Hollis Davis

Amelia Hathaway

Katriel Taylor

Thalia Rafferty

Alice Brooks

Cora Osborne

Isabeau Rafferty

Yareli Adams

Maya Rafferty

Evelyn Sanderson

Elara Warfield

Felix Whitaker

Udit Kankaria

TIRTH JOSHI

Sankalp Agrawal

Shivika Garg

Yogesh Chotia

Suchona Basu

Jishnu

Chahat Goyal

Hritik Agrawal

Supreetha CM

Garima Sharma

Gautam Kumar

Savneet Kaur

Khahish Dhingra

Vineet Nangia

Ramanujan Nagell Equation topics you can learn

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What is Ramanujan-Nagell equation?

Uses of Ramanujan-Nagell equation

Why study Ramanujan-Nagell equation?

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Essential information about your Ramanujan Nagell Equation lessons

4,500+
Expert verified tutors

Zero-cost
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Sign up with 1 lesson

Transparent refunds
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