WP 34S mini-challenge (B)



#9

Write a WP 34S program that displays (and keeps displaying) at least the first 10 correct digits of Brun's Constant, B = 1.902160583104 (the last two digits are uncertain). The maximum number of steps is 10, plus one for each additional digit, up to 12 steps (LBL and END included).

Tip: the following approximation may be used:

B ~ Sqrt(Phi*Sqrt(5.0005)) = 1.90216058363
where
Phi = (sqrt(5) + 1)/2
I have only a 10-step solution:
001 LBL B
002
003
004
005
006
007
008
009
010 END

B --> 1.90216058363

Gerson.


Edited: 27 Dec 2012, 12:09 a.m.


#10

Saved one step immediately:

001: LBL B
002: 5
003: SDR 004
004: RCL+ L
005: [sqrt]
006: # [phi]
007: [times]
008: [sqrt]
009: RTN

Pauli


#11

Quote:
004: RCL+ L

D'oh, missed this obvious one!

Gerson.

#12

And adding a correction term takes three more steps, giving 12 digits on the display although the last is off by a bit:

001: LBL B
002: 5
003: SDR 004
004: RCL+ L
005: [sqrt]
006: # [phi]
007: [times]
008: [sqrt]
009: # 53
010: SDR 11
011: -
012: RTN


- Pauli


#13

10 actual steps for 11 correct digits... this is really compact. #52 instead of #53 might be better.

Gerson.


#14

I didn't fiddle with the correction factor, just interested in the displayed value. Pity the correction value is >255 or an extra digit would have been available for free.

I wouldn't be surprised if a shorter sequence were still possible.


- Pauli


#15

This Message was deleted. This empty message preserves the threading when a post with followup(s) is deleted. If all followups have been removed, the original poster may delete this post again to make this placeholder disappear.


#16

Quote:
If only B had made into the WP 34S :-)

Is there anything B is good for beyond pure math?

d:-)


#17

What does it matter? More is always better!


- Pauli


#18

Quote:
What does it matter?
Thanks, that suffices as response - now I know ;-)
Quote:
More is always better!

So you prefer 8.5 over 5.8 on the Richter scale?

([:-)

#19

This Message was deleted. This empty message preserves the threading when a post with followup(s) is deleted. If all followups have been removed, the original poster may delete this post again to make this placeholder disappear.


#20

Quote:
Well, in 1994 it played an important role in the discovery of the famous Pentium FDIV flaw:

That's of course a serious reason to include it in the WP34s. ;-)

Go on Pauli ... :-)

Franz


#21

Oh yes - we won't take any lower grade challenges, will we? ;-)

#22

Another approach, it gets thirteen digits in 12 working steps.

001: LBL B
002: # 216
003: SDR 005
004: #058
005: SDR 008
006: #031
007: SDR 10
008: 4
009: SDR 12
010: [cmplx]+
011: +
012: # 019
013: SDR 001
014: +
015: RTN

- Pauli


Edited: 27 Dec 2012, 1:02 a.m.


#23

Thank you very much for you interest, Paul.

I am sorry if I may have offended someone else's intelligence by posing a "lower grade challenge". Anyway, this was meant to be a simple mini-challenge.

Gerson


#24

Oooh, Gerson, you may have got my message wrong :-? I was just referring to Franz' post and meant we won't introduce a mathematical constant for less reasons than unvealing Intel.

d:-)

#25

I thought the challenge was interesting and I'd still be surprised if a better/shorter solution didn't exist. At the very least it helped take my mind off of the pain of my recent tonsillectomy for a while which was a significant benefit personally.

- Pauli


#26

I hope you'll recover soon.


Possibly Related Threads…
Thread Author Replies Views Last Post
  [WP-34S] Unfortunate key damage with update to V3 :( svisvanatha 5 3,299 12-10-2013, 11:37 PM
Last Post: Les Bell
  WP-34S (Emulator Program Load/Save) Barry Mead 1 1,878 12-09-2013, 05:29 PM
Last Post: Marcus von Cube, Germany
  DIY HP 30b WP 34s serial flash/programming cable Richard Wahl 2 2,607 12-04-2013, 11:14 AM
Last Post: Barry Mead
  WP 34S/43 ?'s Richard Berler 3 2,130 11-10-2013, 02:27 AM
Last Post: Walter B
  My FrankenCulator (wp-34s) FORTIN Pascal 4 2,250 11-09-2013, 06:18 PM
Last Post: FORTIN Pascal
  WP 34S Owner's Handbook Walter B 5 2,756 11-09-2013, 05:34 PM
Last Post: Harald
  wp 34s overlay and programming. FORTIN Pascal 6 2,989 11-08-2013, 01:28 PM
Last Post: Nick_S
  m.dy in display of WP-34S Harold A Climer 3 2,004 11-05-2013, 11:28 AM
Last Post: Andrew Nikitin
  WP 34s : An old problem coming back Miguel Toro 2 1,804 11-05-2013, 03:00 AM
Last Post: Marcus von Cube, Germany
  [WP 34s] Pressure Conversion Factors Timothy Roche 8 3,271 11-04-2013, 07:17 PM
Last Post: Dave Shaffer (Arizona)

Forum Jump: