Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

G Numbers or Gentle Numbers

G Numbers or Gentle Numbers

is the smallest number other than 0 or 1 which is a perfect square, cube, fourth, fifth, sixth, .... and nth power.

is the smallest number other than 0 or 1 which is perfect square and cube. (64)

is the smallest number other than 0 or 1 which is perfect square, cube, and fourth power. (4096)

or

is the smallest number other than 0 or 1 which is perfect square, cube, fourth, fifth, and sixth power.

.

is approximately

is a 70077544 digit number.

is roughly

.

is roughly

.

Last edited by Jai Ganesh (2017-02-03 16:51:08)

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

iamaditya

Member

From: Planet Mars

Registered: 2016-11-15

Posts: 821

Re: G Numbers or Gentle Numbers

Hi,

Hi i have discovered that

is the lcm of 1 to n raised to the power with base 2. For e.g.

is

since the lcm of 1,2,3,4,5 is 60 and so the value of

is 1152921504606846976.

Last edited by iamaditya (2017-03-27 02:19:30)

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Practice makes a man perfect.
There is no substitute to hard work
All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: G Numbers or Gentle Numbers

Hi;

What motivates people to study these numbers?

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'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

Re: G Numbers or Gentle Numbers

Hi;

Inherent love for numbers!

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.