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#1 2017-02-02 21:09:24

ganesh
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Registered: 2005-06-28
Posts: 22,994

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 ganesh (2017-02-03 16:51:08)


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#2 2017-03-27 02:18:56

iamaditya
Member
From: Planet Mars
Registered: 2016-11-15
Posts: 557

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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#3 2017-03-27 15:11:21

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,728
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Re: G Numbers or Gentle Numbers

Hi;

What motivates people to study these numbers?


'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'
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