20180528, 16:42  #1 
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
2·3^{2}·7·47 Posts 
Reference material discussion thread
This is where I'd prefer the reference material be publicly discussed. (Not in the reference material threads themselves.)
Last fiddled with by kriesel on 20180528 at 19:35 
20180529, 00:44  #2 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
23603_{8} Posts 
You are doing an important job.

20180602, 08:13  #3 
Banned
"Luigi"
Aug 2002
Team Italia
2·2,417 Posts 

20180602, 09:47  #4 
Romulan Interpreter
"name field"
Jun 2011
Thailand
2650_{16} Posts 
Logarithms. I won't repeat what ET said, but just use the logarithms properties to compute the binary logarithm of 10 at the power 1M (the first number with 1M decimal digits), considering that \(\log_a x^n=n\log_a x\) and \(\log_a x=\frac{log_b x}{log_b a}\).
To calculate how many digits in base 5 will \(10^{1000000}\) have, you need to compute \(\log_5 10^{1000000}\). To calculate how many bits will \(10^{1000000}\) have, you need to compute \(\log_2 10^{1000000}\). That is the power of 2 you need to raise 2 to get 10^1M (i.e a number with 1M digits). Then round it to the next prime. Last fiddled with by LaurV on 20180602 at 09:57 
20180602, 11:22  #5  
Jun 2003
3×11×157 Posts 
Quote:


20180602, 16:58  #6 
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
2×3^{2}×7×47 Posts 
Thanks!
Try as I might, I can not get those two lincolns from the screen to my pocket ;) (That's not why I'm doing this. When joining the gpu Mersenne hunting effort a little over a year ago, I looked for reference material and found less than I expected. What I found was scattered about. Made my own for my own use, and figured I might as well share and save someone else some time or puzzlement or wasted cycles. And feedback from doing so could help enlighten me; winwin.) Last fiddled with by kriesel on 20180602 at 17:16 
20180602, 17:07  #7 
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
2·3^{2}·7·47 Posts 
Discuss reference material, here, not in reference threads please; and some questions
The posts #35 above are moved here and were in reference to http://www.mersenneforum.org/showpos...4&postcount=11.
At this point there's been only one view of the attachment to that post, which is what my rhetorical questions were intended as the setup for. (I've modified that post's text a bit to be hopefully more clear about that.) Some nice posts, thoughtful, well formatted; I just don't want them in the reference thread, so they're relocated to here. Are people reluctant to view attachments for some reason, or pdfs in particular? If so, why? Do you prefer other attachment types? Some way of inlining the content? Do attachments not show up as available in some browsers? What would you recommend or prefer? Last fiddled with by kriesel on 20180602 at 17:34 
20180602, 17:41  #8  
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
13442_{8} Posts 
Quote:
10^{10^6} has 10^{6}+1 decimal digits, but 10^{10^6}1 has 10^{6}, as does 10^{10^6}/9.99 or 10^{10^6}/8. I just now checked the cell formulas in the underlying spreadsheet against http://oeis.org/A034887 which covers2^{p}, p=0,1,...72. Last fiddled with by kriesel on 20180602 at 18:20 

20180603, 15:26  #9  
2^{2}×3×5^{2}×31 Posts 
Quote:
I'd say that you have to upgrade the bios as well. 

20180603, 16:42  #10 
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
2×3^{2}×7×47 Posts 
Thanks, added. Also modified the other one you commented on.
Last fiddled with by kriesel on 20180603 at 16:43 
20180605, 16:04  #11  
Romulan Interpreter
"name field"
Jun 2011
Thailand
10011001010000_{2} Posts 
Quote:
Anyhow, it is irrelevant, because log(10,2) is 3.32192809488736 and when you multiply it with either 10M or 10M1, you get 33219280.xx and 33219277.xx, respectively, and there is no prime in between. The next prime candidate for the exponent is (as ET already said) 33219283 (which has 10M+2 digits, probably). Last fiddled with by LaurV on 20180605 at 16:06 Reason: s/1M/10M/g 

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