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primenumbers · Prime numbers and primality testing

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  • Members: 1089
  • Category: Number Theory
  • Founded: Dec 27, 2000
  • Language: English
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Messages 12628 - 12657 of 25072   Oldest  |  < Older  |  Newer >  |  Newest
Messages: Simplify | Expand Author Sort by Date ^
12628 Jon Perry
jon_perryuk Send Email
Jun 5, 2003
9:03 am
Is there a complete list anywhere of the exponents n such that k.2^n+1 is prime for the first time, for k=1 to 78556? Jon Perry perry@... ...
12629 Jon Perry
jon_perryuk Send Email
Jun 5, 2003
9:07 am
'Is there a complete list anywhere of the exponents n such that k.2^n+1 is prime for the first time, for k=1 to 78556?' It would be nice if this was also...
12630 Jon Perry
jon_perryuk Send Email
Jun 5, 2003
9:37 am
Consider n, and d=1,3,7,9 Either n is prime, or create n=n*10+d Now, either n is prime or create n=n*10+d (note the d is fixed) This routine always produces a...
12631 Jon Perry
jon_perryuk Send Email
Jun 5, 2003
9:39 am
Excepting n%3==0 with d=3 or 9. Jon Perry perry@... http://www.users.globalnet.co.uk/~perry/maths/ http://www.users.globalnet.co.uk/~perry/DIVMenu/...
12632 Paul Leyland
pleyland@... Send Email
Jun 5, 2003
11:24 am
... Proof please. I noted your exceptions in a later post. What I'm asking for is a proof that the process always terminates in a prime and that an infinite...
12633 Matt Insall
mattinsall Send Email
Jun 5, 2003
12:32 pm
Both links seem to be dead. Message: 2 Date: Thu, 05 Jun 2003 01:50:03 -0000 From: "pipul" <pipul36@...> Subject: Quantum mathematics, intriging stuff ...
12634 Jon Perry
jon_perryuk Send Email
Jun 5, 2003
1:30 pm
It is a conjecture - 'formation of opinion on incomplete grounds; guess'. Other than for trivial situations, I agree that it is difficult to decide which way...
12635 Sander Hoogendoorn
sander.hoogendoorn@... Send Email
Jun 5, 2003
2:18 pm
... http://home.zonnet.nl/sander.hoogendoorn/keller_primes.zip Both sorted by K and by N For K < 10000 the numbers are only PRP since winpfgw keeps on crashing...
12636 jbrennen Send Email Jun 5, 2003
2:34 pm
... Try n = 176, d = 1 You'll never get a prime....
12637 Steven Whitaker
steven@... Send Email
Jun 5, 2003
2:44 pm
Jon In which case, it would be better to pose it as a question, not a fact "Does this routine always produce a prime?" The answer is no - try n=6623 and d=1....
12638 garychaffey Send Email Jun 5, 2003
3:15 pm
Could somebody please tell me if there is a list of Weights output from this Applet. Especially Top Weights/Lowest Weights upto different limits say k<10^6,...
12639 Leadhyena Inrandomtan
leadhyena_in... Send Email
Jun 5, 2003
3:29 pm
... ?>falls from an ... It's not divergent for Z(-2)=1+2^2+3^2+4^2...? Maybe I didn't catch something, but this sounds very amiss....
12640 Ignacio Larrosa Ca...
ilarrosa Send Email
Jun 5, 2003
4:27 pm
(Thursday, June 05, 2003 11:37 AM) ... Also for n = 77 and d = 7 ... Saludos, Ignacio Larrosa Cañestro A Coruña (España) ...
12641 Jon Perry
jon_perryuk Send Email
Jun 5, 2003
6:18 pm
The completely mystifying Perrin's sequence, defined at: http://ftp.ai.univie.ac.at/perrin.html seems to have another property; A(n^2)%n==0 iff n is prime ... ...
12642 Paul Underwood
paulunderwooduk Send Email
Jun 5, 2003
7:58 pm
Bite... ... I agree with you that it has many interesting properties similar to the Lucas sequence; The former is cubic-based and the latter quadratic-based. ...
12643 Paul Underwood
paulunderwooduk Send Email
Jun 5, 2003
8:10 pm
Should have been: f=n^3-n-1: f is prime <=> f|n^f-n (conjecture) David Broadhurst suggested, based on ideas of Shanks and Erdos, that there is such a...
12644 Paul Underwood
paulunderwooduk Send Email
Jun 5, 2003
8:37 pm
Hi +-1 testers, With a little help from my friends we have built on work by Wilfred Keller et al and are extending the search for primes of the for 3*2^n- 1....
12645 Jon Perry
jon_perryuk Send Email
Jun 5, 2003
9:03 pm
'271441=521^2 the first perrin pseudoprime! I did think of this, and came up with the preposterous; n is prime <=> A(n^k)modn==0 for some k Jon Perry ...
12646 primenumbers@yahoogro... Send Email Jun 5, 2003
9:07 pm
Enter your vote today! A new poll has been created for the primenumbers group: Which thread of prime number theory will solve the mystery of Prime Numbers? o...
12647 Jon Perry
jon_perryuk Send Email
Jun 5, 2003
9:12 pm
Please vote; http://groups.yahoo.com/group/primenumbers/surveys?id=1102154 Jon Perry perry@... http://www.users.globalnet.co.uk/~perry/maths/ ...
12648 primenumbers@yahoogro... Send Email Jun 5, 2003
9:15 pm
Enter your vote today! A new poll has been created for the primenumbers group: What religion are you? o Christian o Buddhist o Muslim/Islam o Jewish o...
12649 Paul Underwood
paulunderwooduk Send Email
Jun 5, 2003
9:32 pm
should have been f=n^3-n-1: f is prime <=> f|n^f-n. Paul...
12650 Mark Underwood
marku606 Send Email
Jun 5, 2003
10:03 pm
That is interesting. If we generalize, then n(1) = n(0)*k + d When interated u times this becomes n(u) = n(0)*k^u + d(k^u - 1)/(k-1) So we should at least...
12651 Paul Underwood
paulunderwooduk Send Email
Jun 5, 2003
10:04 pm
... and then Jon wrote ... When? Before or after your original post on this subject? ... This is just bad logic? : "521^2 is prime <= A(521^2k)=0 mod 521^2...
12652 Jon Perry
jon_perryuk Send Email
Jun 6, 2003
10:39 am
Is the non-computer convention to place the decimal point midway between the top and base of the writing height? If so, why do computers not utilize this? Jon...
12653 Jon Perry
jon_perryuk Send Email
Jun 6, 2003
10:43 am
I have posted these, but I think that they are of significant importance, so I am giving you a preview. ... %I A084833 %S A084833 1, 3, 5, 1, 15, 9, 15, 6, 3,...
12654 Jon Perry
jon_perryuk Send Email
Jun 6, 2003
2:34 pm
'It depends on where you are. In the US, it is just above the bottom, like a period.' I looked at some books, one used the period, but it was a computer based...
12655 johndilick Send Email Jun 6, 2003
2:51 pm
And where would you put this new key on the keyboard? Alt-0183 on the numpad *should* give you the middle dot, might be dependent upon your codepage -- 2·3·5...
12656 Jon Perry
jon_perryuk Send Email
Jun 6, 2003
3:12 pm
ALT+0183 works for me. As you say, things are different in the usa, but here in the uk I think we write; 2.3.5=30 for multiplication 3·14159265 for decimal...
12657 johndilick Send Email Jun 6, 2003
3:40 pm
It looks as if it is reversed from the UK to the USA, as I would interpret the middle dot as a multiplicative identifier, and a baseline dot as a decimal point...
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