Junior High Maths

Showing posts with label Euler's phi function. Show all posts

Showing posts with label Euler's phi function. Show all posts

Friday, 20 January 2017

Problem 20

Find the last digit of 43⁴³.

Posted by Từ Nguyên Học at 16:55 No comments:

Email This BlogThis!Share to X Share to Facebook Share to Pinterest

Labels: Chinese remainder theorem, Euler's phi function, Euler's totient function, Euler's totient theorem, Fermat–Euler theorem, Fermat's little theorem, induction, number theory, prime number, whole number

Older Posts Home

Subscribe to: Posts (Atom)

Search This Blog

Key Topics

arithmetic (1) arithmetic sequence (2) biprime (1) calculus (1) Cartesian product (1) Chinese remainder theorem (2) composite number (1) cyclic quadrilateral (1) divisibility (6) elementary algebra (14) Euclid's formula (1) Euclidian geometry (6) Euler's phi function (1) Euler's totient function (1) Euler's totient theorem (1) exponentiation (1) Fermat–Euler theorem (1) Fermat's little theorem (2) function of one variable (1) functional equation (1) fundamental theorem of arithmetic (2) geometric sequence (1) Gregorian calendar (1) Hero's formula (1) Heron's formula (1) Heronian triangle (1) induction (9) irrational number (1) isoceles triangle (1) linear congruence equation (4) linear Diophantine equation (2) linear function (1) number theory (11) perfect square (1) polynomial factorisation (3) prime number (3) Ptolemy's theorem (1) Pythagoras' theorem (1) Pythagorean triple (4) reductio ad absurdum (4) semiprime (1) set theory (1) square root (2) summation (4) unique factorization theorem (3) unique-prime-factorization theorem (3) whole number (16)

Popular Posts

Problem 26

Prove that every composite number has a proper factor less than or equal to its square root.
Problem 8

Fill in the missing digit to make the number 865* divisible by 7.
Problem 28

Let ABC an isoceles triangle with AB = AC = x, BC = y. Let denote M the midpoint of AB. Find the length of CM.
Problem 27

A triangle has side lengths 1 5 , 1 3 and 4 cm. Find the length of the longest altitude.
Problem 1

Prove that n 2 + n, where n is a whole number, is divisible by 2.
Problem 24

In a hall, there are 1098 seats. There are two aisles. Each row has the same number of seats. In each row, the number of seats between the a...
Problem 19

Find the last digit of 2 999 .
Problem 20

Find the last digit of 43 4 3 .
Problem 18

Given a Pythagorean triple a, b, c, prove that if a is odd, then either b or c must be odd.
Problem 7

Fill in the missing digits to make the number 766776** divisible by 11.

Subscribe To

Posts

Posts

All Comments

All Comments

Blog Archive

▼ 2017 (31)
- ▼ January (31)
  - Problem 31
  - Problem 30
  - Problem 29
  - Problem 28
  - Problem 27
  - Problem 26
  - Problem 25
  - Problem 24
  - Problem 23
  - Problem 22
  - Problem 21
  - Problem 20
  - Problem 19
  - Problem 18
  - Problem 17
  - Problem 16
  - Problem 15
  - Problem 14
  - Problem 13
  - Problem 12
  - Problem 11
  - Problem 10
  - Problem 9
  - Problem 8
  - Problem 7
  - Problem 6
  - Problem 5
  - Problem 4
  - Problem 3
  - Problem 2
  - Problem 1

My Blog List

Junior High Useful

Gérard Villemin
Math Pages

Total Pageviews

About Me

Từ Nguyên Học

View my complete profile

Simple theme. Powered by Blogger.