Categories Meta The work on this blog from about 2011? to 2016 was sort of a ‘math version’ of a github for me. My output (here and elsewhere) has decrea…

Shorthand way of determining whether a given number is divisible by a fixed divisor A divisibility rule is a shorthand and useful way of determining wheth…

Divisibility Tests In general, an integer is divisible by iff the digit sum is divisible by . Write a positive decimal integer out digit by digit in the …

I'm trying to prove that if there are to numbers $n,m$ (natural numbers), and their smallest common multiple is $k$, so that $k = n·i$ and $k = m·j$ for s…

The prior Bezout equation $\Rightarrow 141^{-1}\equiv \color{c00}{-7}\pmod{\!19},\,$ & $\,\color{#0a0}{19^{-1}\!\equiv 52}\pmod{\!141}\,$ by reducing the …

$\begingroup$ Bezout's theorem, you need to proof that the smallest positive integer written as a linear combination of a and b is in actual fact the high…

for all m , n . That is, whenever one index is a multiple of another one, then the corresponding term also is a multiple of the other term. The concept ca…

When I was in seventh grade, my math teacher often deviated from the textbook lessons, trying to instill an intuitive sense of how numbers work. These dig…

We all learn in elementary school that a number is divisible by 2 if the last digit is even. A number is divisible by 3 if the sum of the digits is divisi…

11 . Divisibility Rules 2, the last digit will be an even number 3, all the digits will add to 3,6 or 9 4, the number made by the last two digits can be d…

2 . “Divisible by” means…  If you divide one number by another, the result is a whole number WITHOUT a remainder.  Examples: 12 6=2 No remainder, so 12 …

A number is divisible by 7 if it has a remainder of zero when divided by 7. Examples of numbers which are divisible by 7 are 28, 42, 56, 63, and 98. Divis…

Title:Integral points, divisibility between values of polynomials and entire curves on surfaces Abstract: We prove some new degeneracy results for integr…

7 . Numbers Divisible by 2? Why? 232 yes the last digit is 2 694 yes the last digit is 4 725 no the last digit is 5 not 0,2,4,6,8 426 yes the last digit i…

Tony D. Noe 14025 NW Harvest Lane Portland, OR 97229 USA Abstract: We present several methods of computing sequences of generalized central trinomia…

We prove some new degeneracy results for integral points and entire curves on surfaces; in particular, we provide the first example, to our knowledge, of …

A number consisting entirely of ones is called a repunit. We shall define R( k ) to be a repunit of length k ; for example, R(6) = 111111. Given that n is…

I'm wondering if the concept of "divisibility" also works in complex numbers. For example, if I say $a+bi$ is divisible by $c+di$. Does this mean that th…

It is well known that if $p$ is prime, Stirling numbers of the first and second kind, $s_1(p,k)$ and $s_2(p,k)$ , are divisible by $p$ if $1<k\le p-1$ (La…

In the study of a certain pure mathematical problem (related to infinite-dimensional Lie algebras) I found myself in a situation where it would be very de…

Mathematics - Divisibility Rules From 0 To 12 1. DIVISIBILITY RULES Rules, Rules, Rules – no one likes to follow the rules, But sometimes there are good …

7 Answers 7 Given that $u$ is odd.In this case, $u-1$ and $u+1$ are even and one of them is divisible by 4. This follows from the basic observation that …

34 . Divisibility Can the innovation be used on a trial basis? Complexity Is the innovation difficult to understand or use? Communicability Can results be…

$\begingroup$ The question this has been dupped to did not include the added condition of using only properties of divisibility and of the GDC—indeed, the…

The following divisibility rules may be important for the nature of such a problem. For divisibility by 2, the units digit of the number should end in eit…

Categories Meta The work on this blog from about 2011? to 2016 was sort of a ‘math version’ of a github for me. My output (here and elsewhere) has decrea…

Shorthand way of determining whether a given number is divisible by a fixed divisor A divisibility rule is a shorthand and useful way of determining wheth…

Divisibility Tests In general, an integer is divisible by iff the digit sum is divisible by . Write a positive decimal integer out digit by digit in the …

I'm trying to prove that if there are to numbers $n,m$ (natural numbers), and their smallest common multiple is $k$, so that $k = n·i$ and $k = m·j$ for s…

The prior Bezout equation $\Rightarrow 141^{-1}\equiv \color{c00}{-7}\pmod{\!19},\,$ & $\,\color{#0a0}{19^{-1}\!\equiv 52}\pmod{\!141}\,$ by reducing the …

$\begingroup$ Bezout's theorem, you need to proof that the smallest positive integer written as a linear combination of a and b is in actual fact the high…

for all m , n . That is, whenever one index is a multiple of another one, then the corresponding term also is a multiple of the other term. The concept ca…

When I was in seventh grade, my math teacher often deviated from the textbook lessons, trying to instill an intuitive sense of how numbers work. These dig…

We all learn in elementary school that a number is divisible by 2 if the last digit is even. A number is divisible by 3 if the sum of the digits is divisi…

11 . Divisibility Rules 2, the last digit will be an even number 3, all the digits will add to 3,6 or 9 4, the number made by the last two digits can be d…

2 . “Divisible by” means…  If you divide one number by another, the result is a whole number WITHOUT a remainder.  Examples: 12 6=2 No remainder, so 12 …

A number is divisible by 7 if it has a remainder of zero when divided by 7. Examples of numbers which are divisible by 7 are 28, 42, 56, 63, and 98. Divis…

Title:Integral points, divisibility between values of polynomials and entire curves on surfaces Abstract: We prove some new degeneracy results for integr…

7 . Numbers Divisible by 2? Why? 232 yes the last digit is 2 694 yes the last digit is 4 725 no the last digit is 5 not 0,2,4,6,8 426 yes the last digit i…

Tony D. Noe 14025 NW Harvest Lane Portland, OR 97229 USA Abstract: We present several methods of computing sequences of generalized central trinomia…

We prove some new degeneracy results for integral points and entire curves on surfaces; in particular, we provide the first example, to our knowledge, of …

A number consisting entirely of ones is called a repunit. We shall define R( k ) to be a repunit of length k ; for example, R(6) = 111111. Given that n is…

I'm wondering if the concept of "divisibility" also works in complex numbers. For example, if I say $a+bi$ is divisible by $c+di$. Does this mean that th…

It is well known that if $p$ is prime, Stirling numbers of the first and second kind, $s_1(p,k)$ and $s_2(p,k)$ , are divisible by $p$ if $1<k\le p-1$ (La…

In the study of a certain pure mathematical problem (related to infinite-dimensional Lie algebras) I found myself in a situation where it would be very de…

Mathematics - Divisibility Rules From 0 To 12 1. DIVISIBILITY RULES Rules, Rules, Rules – no one likes to follow the rules, But sometimes there are good …

7 Answers 7 Given that $u$ is odd.In this case, $u-1$ and $u+1$ are even and one of them is divisible by 4. This follows from the basic observation that …

34 . Divisibility Can the innovation be used on a trial basis? Complexity Is the innovation difficult to understand or use? Communicability Can results be…

$\begingroup$ The question this has been dupped to did not include the added condition of using only properties of divisibility and of the GDC—indeed, the…

The following divisibility rules may be important for the nature of such a problem. For divisibility by 2, the units digit of the number should end in eit…