71 (number)

From Wikipedia, the free encyclopedia

71 (seventy-one) is the natural number following 70 and preceding 72.


Cardinal 71
seventy-one
Ordinal 71st
seventy-first
Factorization prime
Divisors 1, 71
Roman numeral LXXI
Binary 1000111
Hexadecimal 47
Look up seventy-one in
Wiktionary, the free dictionary.

[edit] In mathematics

It is the 20th prime number. The next is 73, with which it composes a twin prime. It is also a permutable prime with 17. If we add up the primes less than 71 (2 through 67), we get 568, which is divisible by 71, 8 times. 71 is the largest supersingular prime. Also, 712 = 7! + 1, making it part of the last known pair of Brown numbers, as (71, 7). It is an Eisenstein prime with no imaginary part and real part of the form 3n − 1. Since 9! + 1 is divisible by 71 but 71 is not one more than a multiple of 9, 71 is a Pillai prime.

71 is a centered heptagonal number.

[edit] In science

In astronomy,

Messier object M71, a magnitude 8.5 globular cluster in the constellation Sagitta
The New General Catalogue object NGC 71, a magnitude 13.2 peculiar spiral galaxy in the constellation Andromeda
The Saros number of the solar eclipse series which began on -702 October 8 and ended on 777 March 14. The duration of Saros series 71 was 1478.4 years, and it contained 83 solar eclipses.
The Saros number of the lunar eclipse series which began on -472 June 4 and ended on 808 July 11. The duration of Saros series 71 was 1280.1 years, and it contained 72 lunar eclipses.

[edit] In other fields

Seventy-one is also: