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OEF modular arithmetic

OEF modular arithmetic
--- Introduction ---

This module actually contains 38 exercises on computations in the
finite ring Z/nZ.

Addition fill

,
.
, .

Congruence classes

?

Congruences with a parameter

.

0 .

Cubic fill

,
.
, .

Division fill

,
.
, .

Division I

/ .

0 .

Division II

/ .

0 .

Division III

/ .

0 .

Zero divisors

?

Zero divisor II

.

. 1 ,

Zero divisors III

=^{2}, . ?

Roots modulo p^2

.
.
.

0 .

.

.

0
.

.

,

.

0
,

?

:
.

0
,
.

(
)
?

Inverse I

.

0 .

Inverse II

.

1 .

Inverse III

.

0 .

Invertible power

.
. ?

Divisibility

.
?

Linear modular equation

?

A + M
. .
A +
.
.

+

Multiplication fill

,
.
, .

Special multiples

.

Special multiples II

. .

Period of a decimal in base b

. ?

Polynomial fill

,
.
, .

Powers

^{} .

0 .

Powers II

. ^{} .

0 .

Power fill

,
.
, .

Roots modulo p

.

=
=

?

^{
}

=
.

Roots

.
,
.
.

.

Roots of unity modulo p (I)

1 .

1

Roots of unity modulo p (II)

1 .

Simple computations in Z/nZ

.

0 .

Simple computations modulo n

.

0 .

Squares

.

0 ,

Sum and product

,

,

,

Linear system modulo n II

=
*
+
*

=
*
+
*

.

Linear system modulo n I

Linear system modulo n II

=
+
*
+
*
=
+
*
+
*

.

Trinomial fill

,
.
, .

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Description: collection of exercises on the ring Z/nZ. This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games