e in stead of π

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Re: e in stead of π

Postby m_b_metcalf » Wed Mar 17, 2021 10:49 am

Leren wrote:How about square root of 3 = [snip] Any Root 3 puzzlers out there ? Leren

I'll give it a shot, but not today. Mike
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Re: e in stead of π

Postby m_b_metcalf » Wed Mar 17, 2021 10:53 pm

m_b_metcalf wrote:
Leren wrote:How about square root of 3 = [snip] Any Root 3 puzzlers out there ? Leren

I'll give it a shot, but not today. Mike

First shot:
Code: Select all
 . 1 . 7 3 . 2 5 8
 7 5 . 6 8 . . . .
 8 . . . . . . . 7
 . . 7 . . . . . 2
 9 3 5 . 2 7 . 4 .
 . 4 . . 6 . 3 . .
 . . . 4 . . 1 . 5
 5 8 . . 7 . . 2 .
 3 . . . . 6 . . .

No. of givens =  32 (not possible to add zeros)


Watch this space.
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Re: e in stead of π

Postby Leren » Thu Mar 18, 2021 2:31 am

Hodoku's solution : stte. Leren
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Re: e in stead of π

Postby m_b_metcalf » Thu Mar 18, 2021 9:02 am

Leren wrote:Hodoku's solution : stte. Leren

Well, yes. My goal was to pack in as many of the digits as possible. Even with fewer, the puzzles remain simple, as here:
Code: Select all
 1 . 7 . . . 3 2 5
 8 . . . . . . . 7
 . . . . . 5 . 6 8
 . . . 8 7 . . . .
 7 2 9 . . . . 3 .
 . . 5 2 . . 7 4 .
 . . . . 4 6 . . 3
 . 4 . . . . 1 5 .
 5 . . . 8 . . . .

No. of givens =  28, can add 7r9c8, cannot add zeros

Seems to be an inherent property of this series of digits.
Sorry to disappoint you.

Mike
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Re: e in stead of π

Postby Leren » Thu Mar 18, 2021 9:43 am

Same. Apparently Power Engineering is inherently easy :D Leren
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Re: e in stead of π

Postby Leren » Thu Mar 18, 2021 9:47 am

OK then, how about the Golden Ratio = 1.6180339887 4989484820 4586834365 6381177203 0917980576 2862135448 6227052604 6281890244 9707207204 1893911374 8475408807 5386891752 1266338622 (approximately).

or the largest known prime number. The record is currently held by 2^ (82,589,933) − 1 with 24,862,048 digits, found by GIMPS in December 2018. Its value is:

148894445742041325547806458472397916603026273992795324185271289425213239361064475310309971132180337174752834401423587560 ... plus a few more digits.

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Re: e in stead of π

Postby m_b_metcalf » Thu Mar 18, 2021 10:42 am

Leren wrote:OK then, how about the Golden Ratio = 1.6180339887 4989484820 4586834365 6381177203 0917980576 2862135448 6227052604 6281890244 9707207204 1893911374 8475408807 5386891752 1266338622 (approximately).

or the largest known prime number. The record is currently held by 2^ (82,589,933) − 1 with 24,862,048 digits, found by GIMPS in December 2018. Its value is:

148894445742041325547806458472397916603026273992795324185271289425213239361064475310309971132180337174752834401423587560 ... plus a few more digits.

Leren

GR is hopeless. It cannot have more than 26 clues, and the puzzle with the least number of solutions was;
Code: Select all
 . . . 1 . . . 6 .
 . 1 8 . . . . 3 .
 . . . 3 . 9 . 8 .
 8 . . . 7 . 4 . .
 . . . . . . . 9 8
 . 9 4 8 . . . . .
 . . . . 4 . 8 2 .
 4 . 5 . 8 . 6 . .
 . 8 3 . . . . 4 .

No. of givens =  26

brute found 98 solution(s)

The prime I'll not even try, look at those strings of repeating digits at the beginning.

Regards,

Mike
Last edited by m_b_metcalf on Thu Mar 18, 2021 7:55 pm, edited 1 time in total.
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Re: e in stead of π

Postby Leren » Thu Mar 18, 2021 7:29 pm

OK, lets get back to PI. Starting from the millionth digit it is

130927562832084531584652001027797235612923012605863536011649209902587455521403969791153402241589813245057229232332131045392469983661127509161341877972271870257744736124388514083465932031248728192989830 .......

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Re: e in stead of π

Postby m_b_metcalf » Thu Mar 18, 2021 8:05 pm

Leren wrote:OK, lets get back to PI. Starting from the millionth digit it is

130927562832084531584652001027797235612923012605863536011649209902587455521403969791153402241589813245057229232332131045392469983661127509161341877972271870257744736124388514083465932031248728192989830 .......

Thanks for the suggestion, but this becoming tedious. Maybe someone else would like to give it a try.

Regards,

Mike
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Re: e in stead of π

Postby JPF » Thu Mar 18, 2021 11:45 pm

Leren wrote:OK, lets get back to PI. Starting from the millionth digit it is

You should use the Champernowne constant C10 to be sure that any grid or any puzzle is hidden somewhere in its decimals. :)

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