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71 (number)

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

Cardinal 71
seventy-one
Ordinal 71st
seventy-first
Factorizationprime
Roman numeralLXXI
Binary1000111
Hexadecimal47

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].

71 is a centered heptagonal number.

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 777March 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.

In other fields

Seventy-one is also:

 


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