HP Forum Archive 21

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WP 34S mini-challenge (B) Message #1 Posted by Gerson W. Barbosa on 26 Dec 2012, 11:59 p.m. 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.

Re: WP 34S mini-challenge (B) Message #2 Posted by Paul Dale on 27 Dec 2012, 12:13 a.m., in response to message #1 by Gerson W. Barbosa 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

Re: WP 34S mini-challenge (B) Message #3 Posted by Gerson W. Barbosa on 27 Dec 2012, 12:19 a.m., in response to message #2 by Paul Dale Quote: 004: RCL+ L D'oh, missed this obvious one! Gerson.

Re: WP 34S mini-challenge (B) Message #4 Posted by Paul Dale on 27 Dec 2012, 12:21 a.m., in response to message #2 by Paul Dale 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

Re: WP 34S mini-challenge (B) Message #5 Posted by Gerson W. Barbosa on 27 Dec 2012, 12:29 a.m., in response to message #4 by Paul Dale 10 actual steps for 11 correct digits... this is really compact. #52 instead of #53 might be better. Gerson.

Re: WP 34S mini-challenge (B) Message #6 Posted by Paul Dale on 27 Dec 2012, 12:32 a.m., in response to message #5 by Gerson W. Barbosa 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

(deleted post) Message #7 Posted by deleted on 27 Dec 2012, 12:35 a.m., in response to message #6 by Paul Dale 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.

Re: WP 34S mini-challenge (B) Message #8 Posted by Walter B on 27 Dec 2012, 2:31 a.m., in response to message #7 by deleted Quote: If only B had made into the WP 34S :-) Is there anything B is good for beyond pure math? d:-)

Re: WP 34S mini-challenge (B) Message #9 Posted by Paul Dale on 27 Dec 2012, 3:09 a.m., in response to message #8 by Walter B What does it matter? More is always better! - Pauli

Re: WP 34S mini-challenge (B) Message #10 Posted by Walter B on 27 Dec 2012, 4:56 a.m., in response to message #9 by Paul Dale 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? ([:-)

(deleted post) Message #11 Posted by deleted on 27 Dec 2012, 8:36 a.m., in response to message #8 by Walter B 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.

Re: WP 34S mini-challenge (B) Message #12 Posted by fhub on 27 Dec 2012, 9:02 a.m., in response to message #11 by deleted 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

Re: WP 34S mini-challenge (B) Message #13 Posted by Walter B on 27 Dec 2012, 9:31 a.m., in response to message #12 by fhub Oh yes - we won't take any lower grade challenges, will we? ;-)

Re: WP 34S mini-challenge (B) Message #14 Posted by Paul Dale on 27 Dec 2012, 1:00 a.m., in response to message #1 by Gerson W. Barbosa 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.

Re: WP 34S mini-challenge (B) Message #15 Posted by Gerson W. Barbosa on 27 Dec 2012, 11:07 a.m., in response to message #14 by Paul Dale 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

Re: WP 34S mini-challenge (B) Message #16 Posted by Walter B on 27 Dec 2012, 11:37 a.m., in response to message #15 by Gerson W. Barbosa 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:-)

Re: WP 34S mini-challenge (B) Message #17 Posted by Paul Dale on 27 Dec 2012, 4:25 p.m., in response to message #15 by Gerson W. Barbosa 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

Re: WP 34S mini-challenge (B) Message #18 Posted by Marcus von Cube, Germany on 27 Dec 2012, 4:39 p.m., in response to message #17 by Paul Dale I hope you'll recover soon.

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