User apprenant - Mathematics Stack Exchange

9 votes

2 answers

746 views

Is $7^4-1=2^5 \times 3 \times 5^2$ the only counterexample?

asked Jan 19, 2017 at 14:40

4 votes

3 answers

154 views

Can one find a set of four positive integers in which the product of any two distinct integers is a perfect square plus one?

asked Jan 24, 2017 at 18:16

4 votes

4 answers

1k views

A Diophantine equation involving factorial

asked Feb 2, 2017 at 11:50

3 votes

1 answer

172 views

Prove or disprove a claim involving Pythagorean primes

asked Feb 5, 2017 at 12:12

3 votes

3 answers

197 views

Find the result of $\sum_{n=1}^{\infty} \sin\left(\frac{1}{2^n}\right)$

asked Jan 22, 2017 at 15:47

2 votes

0 answers

58 views

Does each term of this sequence equal to zero?

asked Feb 12, 2017 at 16:41

2 votes

5 answers

1k views

Largest semicircle in a rectangle

asked Jan 25, 2017 at 17:28

2 votes

1 answer

488 views

Is knowing the sum , the product and the sum of squares of $k$ different positive integers enough to find them?

asked Feb 2, 2017 at 10:20

2 votes

1 answer

52 views

In search of such "miraculous" triangle doublets

asked Jan 19, 2017 at 15:35

2 votes

0 answers

72 views

Prove or disprove this inequality involving fractions

asked Jan 21, 2017 at 14:18

1 vote

0 answers

88 views

Primes among quadratic residues modulo a prime

asked Jan 21, 2017 at 16:01

1 vote

0 answers

155 views

Can these axioms serve as an alternative to Hilbert's axioms?

asked Jun 27, 2017 at 19:42

1 vote

1 answer

46 views

Pasch's axiom, intermediate value theorem and Jordan curve theorem

asked Mar 27, 2023 at 6:02

0 votes

1 answer

34 views

Appropriate model to represent negative numbers

asked Apr 7 at 5:10

0 votes

0 answers

215 views

How can we derive ruler postulate from Hilbert's axioms?

asked Jun 27, 2017 at 13:41

0 votes

1 answer

102 views

A curve such that all perpendicular bisectors of its chords are concurrent

asked Feb 2, 2017 at 17:06

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16 Questions

Is $7^4-1=2^5 \times 3 \times 5^2$ the only counterexample?

Can one find a set of four positive integers in which the product of any two distinct integers is a perfect square plus one?

A Diophantine equation involving factorial

Prove or disprove a claim involving Pythagorean primes

Find the result of $\sum_{n=1}^{\infty} \sin\left(\frac{1}{2^n}\right)$

Does each term of this sequence equal to zero?

Largest semicircle in a rectangle

Is knowing the sum , the product and the sum of squares of $k$ different positive integers enough to find them?

In search of such "miraculous" triangle doublets

Prove or disprove this inequality involving fractions

Primes among quadratic residues modulo a prime

Can these axioms serve as an alternative to Hilbert's axioms?

Pasch's axiom, intermediate value theorem and Jordan curve theorem

Appropriate model to represent negative numbers

How can we derive ruler postulate from Hilbert's axioms?

A curve such that all perpendicular bisectors of its chords are concurrent