User Derek

12 votes

1 answer

318 views

Why do all Giuga numbers have exactly one odd prime factor which is congruent to 1 (mod 4) ?

elementary-number-theory prime-numbers

asked Aug 17, 2017 at 21:48

10 votes

1 answer

173 views

How can you verify that a 3 by 3 unimodular matrix generates an infinite number of Fermat near misses?

asked Jan 7, 2020 at 18:23

5 votes

1 answer

146 views

Minimal degree faithful permutation representations of some finite simple groups

combinatorics group-theory permutations symmetric-groups

asked Oct 29, 2021 at 5:23

4 votes

0 answers

114 views

Why seven out of eight Primary pseudoperfect numbers only have odd prime factors which are congruent to $3 \pmod{4}$?

elementary-number-theory prime-numbers

asked Aug 17, 2017 at 22:29

3 votes

0 answers

105 views

Giuga numbers, when reduced modulo 288, form something resembling an arithmetic progression?

elementary-number-theory arithmetic-progressions

asked Sep 16, 2017 at 21:45

3 votes

2 answers

116 views

Given a large prime, how can I find two perfect squares that add up to that prime?

elementary-number-theory prime-numbers diophantine-equations

asked Mar 16, 2017 at 18:25

2 votes

2 answers

272 views

Can 422215686281216 be expressed as the sum or difference of two fifth powers?

number-theory computational-mathematics

asked Apr 5, 2017 at 22:22

2 votes

2 answers

169 views

Why is this expression an integer? [closed]

elementary-number-theory computational-mathematics

asked Jun 26, 2017 at 22:59

2 votes

4 answers

134 views

Can anyone help me solve this Pell equation?

elementary-number-theory pell-type-equations

asked Jan 3, 2020 at 20:19

1 vote

1 answer

361 views

How can I tell whether an integer is the sum of two fourth powers

diophantine-equations computational-mathematics

asked Mar 14, 2017 at 14:59

1 vote

1 answer

139 views

Can 13477627276039606281933936961 be expressed as a sum of two fourth powers?

elementary-number-theory computational-mathematics

asked Apr 30, 2017 at 18:48

1 vote

1 answer

73 views

How do I Transform a Quadratic expression into a Pell Equation?

number-theory quadratic-forms pell-type-equations

asked Feb 14, 2020 at 4:39

1 vote

3 answers

105 views

Handy Rules For Determining Whether an Integer is the Sum of Two Fourth Powers

elementary-number-theory computational-mathematics

asked Dec 7, 2017 at 1:20

1 vote

1 answer

290 views

Why do Sylvester numbers, when reduced modulo $864$, form an arithmetic progression $7, 43, 79, 115, 151, 187, 223, \ldots$?

sequences-and-series elementary-number-theory arithmetic-progressions

asked Mar 11, 2018 at 7:38

1 vote

1 answer

78 views

Is there a name for this special type of matrix?

linear-algebra matrices number-theory

asked Sep 7, 2018 at 19:22

0 votes

2 answers

140 views

Proof that Sylvester numbers, when reduced modulo 864 , form an arithmetic progression 7,43,79,115,151,187,223,…

sequences-and-series elementary-number-theory modular-arithmetic

asked Nov 16, 2018 at 20:54

0 votes

2 answers

108 views

An interesting question about greatest common divisor (gcd) of three positive integers which form a primitive Pythagorean triple

elementary-number-theory pythagorean-triples

asked Aug 23, 2019 at 12:53

0 votes

1 answer

90 views

How can I compute a 3 by 3 unimodular matrix which produces an infinite number of Fermat near misses?

matrices number-theory computational-mathematics unimodular-matrices

asked Nov 15, 2019 at 21:37

0 votes

1 answer

167 views

Is $524154366113525716400386$ the sum of two fourth powers? [closed]

elementary-number-theory computational-mathematics

asked Aug 18, 2017 at 11:45

0 votes

1 answer

96 views

Slight inaccuracy in Rogers – Ramanujan Identities?

combinatorics elementary-number-theory

asked Sep 2, 2017 at 0:56

0 votes

2 answers

80 views

Can 38012 460109 621768 889218 be expressed as a sum of two fourth powers?

elementary-number-theory computational-mathematics

asked Jul 8, 2017 at 21:04

0 votes

1 answer

120 views

Can 406558142992290754819586 be expressed as the sum of two fourth powers?

elementary-number-theory computational-mathematics

asked Jul 16, 2017 at 21:30

0 votes

1 answer

135 views

Diophantine Equations - 4th Powers / Computational Number Theory

number-theory diophantine-equations

asked Mar 5, 2017 at 23:03

0 votes

1 answer

93 views

Diophantine Equations - 4th Powers / Computational Number Theory

diophantine-equations computational-mathematics

asked Mar 12, 2017 at 21:16

0 votes

1 answer

123 views

Complicated unusual Pell equation

number-theory pell-type-equations

asked Feb 14, 2020 at 18:56

0 votes

2 answers

113 views

Can anyone solve this Pell equation?

elementary-number-theory pell-type-equations

asked Jul 17, 2020 at 10:37

-1 votes

1 answer

74 views

Is there convincing numerical evidence for this conjecture?

elementary-number-theory prime-numbers modular-arithmetic

asked Apr 24 at 22:59

-1 votes

1 answer

166 views

Can 2140138088471960538384538519958130596908 be expressed as the sum, or difference, of three fifth powers?

number-theory computational-mathematics

asked Apr 6, 2017 at 23:19

-5 votes

2 answers

160 views

Can $406014677132263504491682$ be the sum of two fourth powers? [closed]

elementary-number-theory computational-mathematics

asked Jul 18, 2017 at 21:56

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29 Questions

Why do all Giuga numbers have exactly one odd prime factor which is congruent to 1 (mod 4) ?

How can you verify that a 3 by 3 unimodular matrix generates an infinite number of Fermat near misses?

Minimal degree faithful permutation representations of some finite simple groups

Why seven out of eight Primary pseudoperfect numbers only have odd prime factors which are congruent to $3 \pmod{4}$?

Giuga numbers, when reduced modulo 288, form something resembling an arithmetic progression?

Given a large prime, how can I find two perfect squares that add up to that prime?

Can 422215686281216 be expressed as the sum or difference of two fifth powers?

Why is this expression an integer? [closed]

Can anyone help me solve this Pell equation?

How can I tell whether an integer is the sum of two fourth powers

Can 13477627276039606281933936961 be expressed as a sum of two fourth powers?

How do I Transform a Quadratic expression into a Pell Equation?

Handy Rules For Determining Whether an Integer is the Sum of Two Fourth Powers

Why do Sylvester numbers, when reduced modulo $864$, form an arithmetic progression $7, 43, 79, 115, 151, 187, 223, \ldots$?

Is there a name for this special type of matrix?

Proof that Sylvester numbers, when reduced modulo 864 , form an arithmetic progression 7,43,79,115,151,187,223,…

An interesting question about greatest common divisor (gcd) of three positive integers which form a primitive Pythagorean triple

How can I compute a 3 by 3 unimodular matrix which produces an infinite number of Fermat near misses?

Is $524154366113525716400386$ the sum of two fourth powers? [closed]

Slight inaccuracy in Rogers – Ramanujan Identities?

Can 38012 460109 621768 889218 be expressed as a sum of two fourth powers?

Can 406558142992290754819586 be expressed as the sum of two fourth powers?

Diophantine Equations - 4th Powers / Computational Number Theory

Diophantine Equations - 4th Powers / Computational Number Theory

Complicated unusual Pell equation

Can anyone solve this Pell equation?

Is there convincing numerical evidence for this conjecture?

Can 2140138088471960538384538519958130596908 be expressed as the sum, or difference, of three fifth powers?

Can $406014677132263504491682$ be the sum of two fourth powers? [closed]