# Definitions for **senary**ˈsɛn ə ri

### This page provides all possible meanings and translations of the word **senary**

### Random House Webster's College Dictionary

sen•a•ryˈsɛn ə ri(adj.)

of or pertaining to the number six.

**Category:**Math

#### Origin of **senary**:

1655–65; < L sēnārius=sēn(ī) six each (der. of sexsix ) +-ārius -ary

### Wiktionary

senary(Adjective)

Of sixth rank or order.

**Origin:** From the senarius, from seni + -arius (whence the suffix -ary).

### Webster Dictionary

Senary(adj)

of six; belonging to six; containing six

### Freebase

Senary

In mathematics, a senary numeral system is a base-6 numeral system. Senary may be considered useful in the study of prime numbers since all primes other than 2 and 3, when expressed in base-six, have 1 or 5 as the final digit. Writing out the prime numbers in base-six, the first few primes are That is, for every prime number p with, one has the modular arithmetic relations that either or : the final digits is a 1 or a 5. This is proved by contradiction. For integer n: ⁕If n mod 6 = 0, 6|n ⁕If n mod 6 = 2, 2|n ⁕If n mod 6 = 3, 3|n ⁕If n mod 6 = 4, 2|n Furthermore, all known perfect numbers besides 6 itself have 44 as the final two digits when expressed in base 6.

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