
View Poll Results: M281414479 Is Mersenne Prime Number?  
Yes  0  0%  
Not  24  100.00%  
Multiple Choice Poll. Voters: 24. You may not vote on this poll 

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20161005, 21:45  #23 
∂^{2}ω=0
Sep 2002
República de California
5×2,351 Posts 
But unless my skim of same is egregiously off, the chainspage you supplied makes clear that things are very sumspecific (exponentspecific in a TF context), and there does not appear to be a fast deterministic algorithm for finding the optimal chain, or even on appreciably superior to that given by the standard LR binary modpow approach. If we could do that cheaply onthefly it would certainly be worth considering as an enhancement to our TF codes.

20161005, 22:34  #24  
Aug 2006
5,987 Posts 
Quote:


20161005, 23:24  #25 
"Derly Pauline Swanso"
Oct 2016
USA
5 Posts 
Thanks Raman
Your contribution has been very constructive for me. I move on in my studies. Not bother again. Ha. I am Colombian I Sorry! bye. 
20161013, 09:39  #26  
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
4E9_{16} Posts 
Quote:
Starting point 3: Code:
(2^{3}+1)/3 = 3 is prime number. (2^{3}+1)/3 = 3 is prime number. ... cycle. Code:
(2^{5}+1)/3 = 11 is prime number. (2^{11}+1)/3 = 683 is prime number. (2^{683}+1)/3 = 1676083 × 26955961001 × 296084343545863760516699753733387652635366098889116410731661924253563729059085336779932810899819313612925255002666691226800507277398580985624625950496168983999760414855301693388419156899841. Code:
(2^{7}+1)/3 = 43 is prime number. (2^{43}+1)/3 = 2932031007403 is prime number. (2^{2932031007403}+1)/3 is unknown number... Starting point 5: Code:
2^{5}1 = 31 is prime number. 2^{31}1 = 2147483647 is prime number. 2^{2147483647}1 has the factors: 295257526626031, 87054709261955177, 242557615644693265201, 178021379228511215367151. Code:
2^{2}1 = 3 is prime number. 2^{3}1 = 7 is prime number. 2^{7}1 = 127 is prime number. 2^{127}1 = 170141183460469231731687303715884105727 is prime number. 2^{170141183460469231731687303715884105727}1 is unknown number... is being immediately composite if any number of that number is not being of the following form as like (2 × 170141183460469231731687303715884105727 × k) + 1 ) (Nonalgebraic factors of 2^{170141183460469231731687303715884105727}1 will be always of the following form as like (2 × 170141183460469231731687303715884105727 × k) + 1). This mersenne forum thread post out. 1234 posts out. Counting out. Existing out. Exactly out. Very quite variably  about around  round ground  poultry variety  out. Quote:
nfsnet.org web site page showing out as like some breast cancer treatment type of thing? that ever which ever a way a way ever  by using be being Double quotes, not single quotes not needed up for url tags but that it is being always required up for colour tags? Color, not colour? Gray, not grey? Plug sockets shapes, sizes, colours, strokes and scripts in different countries. Up. SNFS Biquadratic = SNFS Quartic? Is SNFS quartic being a much further more better term to use up rather than instead of SNFS biquadratic? Most further more. Always preparing up with drafts in ready made all tags! 

20161013, 16:09  #27  
Aug 2006
5,987 Posts 
Quote:
I recommend using "quartic" when you mean (only) a fourthdegree polynomial as it is unambiguous, and if you want to use "biquadratic" in the second sense you should define it in the text so that readers aren't confused. 

20180124, 19:28  #28  
Jan 2018
10_{2} Posts 
Quote:
It doesn't follow that a number with has 28 doublings. It may have less doublings and more general multiplies. An addition chain of length 34 follows. I didn't search for one with the most doublings and haven't checked this one. 1 2 4 6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152 98304 196608 202752 202753 399361 798722 1001475 2002950 4005900 8011800 16023600 17025075 33048675 66097350 132194700 132194702 264389404 281414479 

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