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Fermat's Last Theorem and Mathematical proof

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Fermat's Last Theorem and Mathematical proof

Fermat's Last Theorem vs. Mathematical proof

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers,, and satisfy the equation for any integer value of greater than. A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion.

Similarities between Fermat's Last Theorem and Mathematical proof

Fermat's Last Theorem and Mathematical proof have 13 things in common (in Unionpedia): Conjecture, Contraposition, Coprime integers, Counterexample, Greek mathematics, Integer, Joseph Liouville, Mathematical induction, Number theory, Prime number, Proof by infinite descent, Pythagorean theorem, Rational number.

Conjecture

In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof.

Conjecture and Fermat's Last Theorem · Conjecture and Mathematical proof · See more »

Contraposition

In logic and mathematics, contraposition, or transposition, refers to the inference of going from a conditional statement into its logically equivalent contrapositive, and an associated proof method known as.

Contraposition and Fermat's Last Theorem · Contraposition and Mathematical proof · See more »

Coprime integers

In number theory, two integers and are coprime, relatively prime or mutually prime if the only positive integer that is a divisor of both of them is 1.

Coprime integers and Fermat's Last Theorem · Coprime integers and Mathematical proof · See more »

Counterexample

A counterexample is any exception to a generalization.

Counterexample and Fermat's Last Theorem · Counterexample and Mathematical proof · See more »

Greek mathematics

Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly from the 5th century BC to the 6th century AD, around the shores of the Mediterranean.

Fermat's Last Theorem and Greek mathematics · Greek mathematics and Mathematical proof · See more »

Integer

An integer is the number zero (0), a positive natural number (1, 2, 3,...), or the negation of a positive natural number (−1, −2, −3,...). The negations or additive inverses of the positive natural numbers are referred to as negative integers.

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Joseph Liouville

Joseph Liouville (24 March 1809 – 8 September 1882) was a French mathematician and engineer.

Fermat's Last Theorem and Joseph Liouville · Joseph Liouville and Mathematical proof · See more »

Mathematical induction

Mathematical induction is a method for proving that a statement P(n) is true for every natural number n, that is, that the infinitely many cases P(0), P(1), P(2), P(3), \dots  all hold.

Fermat's Last Theorem and Mathematical induction · Mathematical induction and Mathematical proof · See more »

Number theory

Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.

Fermat's Last Theorem and Number theory · Mathematical proof and Number theory · See more »

Prime number

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers.

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Proof by infinite descent

In mathematics, a proof by infinite descent, also known as Fermat's method of descent, is a particular kind of proof by contradiction used to show that a statement cannot possibly hold for any number, by showing that if the statement were to hold for a number, then the same would be true for a smaller number, leading to an infinite descent and ultimately a contradiction.

Fermat's Last Theorem and Proof by infinite descent · Mathematical proof and Proof by infinite descent · See more »

Pythagorean theorem

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.

Fermat's Last Theorem and Pythagorean theorem · Mathematical proof and Pythagorean theorem · See more »

Rational number

In mathematics, a rational number is a number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

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The list above answers the following questions

Fermat's Last Theorem and Mathematical proof Comparison

Fermat's Last Theorem has 162 relations, while Mathematical proof has 155. As they have in common 13, the Jaccard index is 4.10% = 13 / (162 + 155).

References

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