Prime calculator sum(1.0002^n/n, 1, 20000)

12272020, 03:04 AM
Post: #1




Prime calculator sum(1.0002^n/n, 1, 20000)
How to calculate
sum(1.0002^n/n, 1, 20000) with the buildin template sigma? To get an approximate answer, I have to calculate sum(1.0002^n/n, 1, 10000) + sum(1.0002^n/n, 10001,20000) = 10.9246. Somewhat cumbersome. On the HP50G, I get the wished answer by writing directly sum(1.0002^n/n, 1, 20000). Thanks for your help. Regards, Gil 

12272020, 04:16 AM
Post: #2




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
It works directly in Home, summing 1.0002^X/X from 1 to 20000. Summations in Home apparently do not have the same restriction as CAS. BTW, I think that the correct result is approximately 28.1439738, not 10.9246.
<0ɸ0> Joe 

12272020, 04:27 AM
Post: #3




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
(12272020 03:04 AM)Gil Wrote: How to calculate In BASIC I get 28.14397384 Tom L Cui bono? 

12272020, 10:37 AM
Post: #4




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
You are right, I forgot one zero.
A pity anyway to have to switch to HOME to get a simple result. Observation To be able to enter the beginning value for n (under the sigmasummationsign) and the last summation value of n, I had to select TEXTBOOKS notation. Is it possible to write it "normally" in ALGEBRAIC mode (or in RPN like in the equation writer of the HP50G)? Regards, Gil 

12272020, 10:53 AM
Post: #5




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
(12272020 10:37 AM)Gil Wrote: You are right, I forgot one zero. the CAS sum() function is the discrete sum, related to an integral, not an algebraic sum. Are they the same? I'm not a mathematician, so someone else will have to answer. Tom L Cui bono? 

12272020, 01:46 PM
Post: #6




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
By the way, how long did this summation take to run on the Prime?
G1 vs G2? I noted the following calculation times (in minutes:seconds) on some of the calculators I tried it on. Casio fxCG50 1:13 TI89 10:40 TI92 18:55 

12272020, 03:17 PM
Post: #7




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
(12272020 01:46 PM)Steve Simpkin Wrote: By the way, how long did this summation take to run on the Prime? Hello G1: 1,7 sec G2: 0,7 sec Sorry for my english 

12272020, 05:32 PM
Post: #8




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
Just for your information
Summation from 1 to 20 000 of '1.00002^n/n' gives on my phone Samsung Galaxy S6 with emulated calculator HP50G with the EMU48 application: 4'12" (calculator "emulated" / original speed) and 10.9" (full speed). Regards, Gil 

12272020, 05:35 PM
Post: #9




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
Sorry, full speed gives 8.9"
on my Galaxy S6 Emu48/HP50G. Regards, Gil 

12272020, 05:43 PM
(This post was last modified: 12282020 02:16 PM by StephenG1CMZ.)
Post: #10




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
Perhaps the 10 000 limit is related to the size of lists, which are limited to 10 000 items on the HP Prime?
How about [incorrect formula deleted] See my later post Stephen Lewkowicz (G1CMZ) https://my.numworks.com/python/steveg1cmz 

12272020, 05:56 PM
Post: #11




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
HP Prime G2: <0:01
TI NSpire 2 (no CAS): 0:09 CASIO fxCG50: 1:14 CASSIO CLASSPAD (fxCP400): 6:49 CASSIO fx991EX: 17:38 The TI Nspire was a bit high beginning with 9th decimal (28.143973835105) 

12272020, 07:03 PM
(This post was last modified: 12272020 07:03 PM by John Keith.)
Post: #12




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
(12272020 03:04 AM)Gil Wrote: On the HP50G, I get the wished answer by writing For the HP 50, the correct syntax is '\GS(n=1, 20000, 1.0002^n/n)' where \GS is the Sigma character (rightshift S). On a physical HP 50g, I get 28.1439738407 in 354.6 seconds, or just under 6 min. 

12272020, 08:07 PM
Post: #13




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
Similar for me on HP 50g using evaluate the term from the equation writer.
CASSIO fx115ES Plus: 1:26:29 TI36X Pro: 1:28:52 

12272020, 10:43 PM
Post: #14




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
CASIO fx991LAX: 28.1439738342463
15 min < t < 18 min 

12282020, 03:20 AM
Post: #15




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
(12272020 10:43 PM)Gerson W. Barbosa Wrote: CASIO fx991LAX: 28.1439738342463 Thomas Okken's awesome Free42 Decimal for Android on a Samsung Galaxy tablet: LBL "SUMA" 20000 0 LBL 00 1.0002 RCL ST Z Y^X RCL/ ST L + DSE ST Y GTO 00 [R/S] > 28.14397383505516924725756564071173 in 2.46 sec. V. All My Articles & other Materials here: Valentin Albillo's HP Collection 

12282020, 10:47 AM
Post: #16




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
(12272020 05:56 PM)lrdheat Wrote: CASSIO fx991EX: 17:38 (12272020 08:07 PM)lrdheat Wrote: CASSIO fx115ES Plus: 1:26:29 For comparison with the above: TI30X Pro MathPrint: 20:09 answer: 28.14397384 (28.14397383500) Slower than its rival Casio fx991EX on this task. — Ian Abbott 

12282020, 12:59 PM
Post: #17




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
Casio fx5800p:
28.14397383, about 29 minutes. 

12282020, 02:03 PM
Post: #18




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
If you wanted one sum rather than two (110000 plus 1000120000) you could use
Sum(1.0002^n/n + 1.0002^(10000+n)/(10000+n),n,1,20000/2) Which only has 10 000 terms. But it is no faster than the other expression. (the formula I tried earlier was incorrect) Stephen Lewkowicz (G1CMZ) https://my.numworks.com/python/steveg1cmz 

12282020, 03:02 PM
Post: #19




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
(12282020 03:20 AM)Valentin Albillo Wrote: Thomas Okken's awesome Free42 Decimal for Android on a Samsung Galaxy tablet: Thanks, Valentin! Although I get similar timing with Free42 on my laptop computer, my DM42 takes forever, apparently updating the stack display constantly even though the program contains no display commands. Anybody know how to tell the DM42 not to update the stack display while running? Thanks in advance! <0ɸ0> Joe 

12282020, 04:21 PM
Post: #20




RE: Prime calculator sum(1.0002^n/n, 1, 20000)
(12282020 03:02 PM)Joe Horn Wrote: Anybody know how to tell the DM42 not to update the stack display while running? Thanks in advance! You can try with RefLCD set to 0. 

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