Genocchi number
Encyclopedia
The Genocchi numbers, named after Angelo Genocchi
, are a sequence of integer
s, Gn that satisfy the relation
The first few Genocchi numbers are 1, −1, 0, 1, 0, −3, 0, 17 . Gn is 0 for odd n > 1.
It has been proven that −3 and 17
are the only prime
Genocchi numbers.
They are related to Bernoulli numbers Bn by the formula
Angelo Genocchi
Angelo Genocchi was an Italian mathematician who specialized in number theory. He worked with Giuseppe Peano. The Genocchi numbers are named after him.-References:...
, are a sequence of integer
Integer
The integers are formed by the natural numbers together with the negatives of the non-zero natural numbers .They are known as Positive and Negative Integers respectively...
s, Gn that satisfy the relation
The first few Genocchi numbers are 1, −1, 0, 1, 0, −3, 0, 17 . Gn is 0 for odd n > 1.
It has been proven that −3 and 17
17 (number)
17 is the natural number following 16 and preceding 18. It is prime.In spoken English, the numbers 17 and 70 are sometimes confused because they sound similar. When carefully enunciated, they differ in which syllable is stressed: 17 vs 70...
are the only prime
Prime number
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...
Genocchi numbers.
They are related to Bernoulli numbers Bn by the formula
