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# User:Daniel Forgues

 Daniel Forgues kephalopod B.Sc. (Physics)Université deMontréal (1982)

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## OEIS

Nicolas Gauvrit, Jean-Paul Delahaye, Hector Zenil, Sloane's Gap. Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS (2011)

## OEIS Wiki

### My subpages

 User:Daniel Forgues/Contributions  (Partial commented lists of my previous, in progress and future contributions.) User:Daniel Forgues/Copy and paste  (Tables and other stuff ready for copying and pasting.)

 Coordinated Universal Time(UTC)

 Saturday, October 19, 2019

 OEIS Wiki Server TimeEastern Time (ET) [1]

 Saturday, October 19, 2019

 Sequence of the Day

## Sequence of the Day for October 19

A065918: Logarithm of
 2 + 2√  3
.
1.3169578969248...
This number figures in the search for Mersenne primes thus: the Mersenne number
 M = 2 n  −  1
is prime if and only if
 M
divides

cosh (2n  − 2 log (2 +
2  3
))
=
 e  + { 2 n  − 2 log (2 + 2√  3 ) } + e  − { 2 n  − 2 log (2 + 2√  3 ) } 2
=
 (2 + 2√  3 )  + { 2 n  − 2  } + (2 + 2√  3 )  − { 2 n  − 2  } 2
,

where
 cosh (x)
is the hyperbolic cosine function. David Wilson has proposed calling the number
 log (2 + 2√  3 )
the Helms constant.
The number
2 +
2  3
= tan
 5 π 12
= cot
 π 12
is sometimes called the Kasner constant (see A019973 for decimal expansion).

{{OEIS Indexes}}

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