Junior High Maths

Saturday, 21 January 2017

Problem 21

Prove that the a composite n non divisible by

\leq {\sqrt[{3}]{n}}

is a semiprime.

Posted by Từ Nguyên Học at 15:27

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Labels: biprime, fundamental theorem of arithmetic, number theory, prime number, reductio ad absurdum, semiprime, unique factorization theorem, unique-prime-factorization theorem, whole number

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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)

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▼ 2017 (31)
- ▼ January (31)
  - Problem 31
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