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Topic: Cullen prime

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	Cullen number - Wikipedia, the free encyclopedia
		Cullen numbers were first studied by Rev. James Cullen in 1905.
		It has been shown that almost all Cullen numbers are composite; the only known Cullen primes are those for n = 1, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825, 262419, 361275, 481899 and 1354828 (sequence A005849 in OEIS).
		Still, it is conjectured that there are infinitely many Cullen primes.
	en.wikipedia.org /wiki/Cullen_prime (239 words)

	Michael Cullen - Wikipedia, the free encyclopedia
		After Labour's reelection in 1987, Cullen was made Associate Minister of Finance (an attempt by Lange to provide an anti-reform counterbalance to the radical Douglas) and Minister of Social Welfare (an attempt to limit the impact of the reforms in that area).
		Cullen was made Associate Minister of Health, again to reduce the effect of reforms on that sector.
		Cullen claims to be happy with his position as second, saying that in terms of personality, he is "a number two sort of person".
	en.wikipedia.org /wiki/Michael_Cullen (709 words)

	type
		Primes where all of the digits have holes; unholey primes do not have any digits with holes in them.
		A prime that must have a total even number of digits, and the digits in the first half of the prime must digger from the corrseponding digits of the second half, resulting in a coincidence ratio of 0.
		Primes that are named because they are usually expressed in their subscriptal notation.
	www.fortunecity.com /meltingpot/manchaca/799/type.html (541 words)

	Prime Numbers
		It was proved by Dirichlet in 1837 that as long as the common difference between terms in an arithmetic sequence does not have a prime factor in common with one of the terms in the sequence, the sequence will contain an infinite number of prime numbers.
		Eleven consecutive primes in arithmetic progression require a common difference of at least 2310 and they project that a search is not feasible without a new idea or a trillion-fold (!) improvement in computer speeds.
		At the moment there are only 5 proven repunit primes (those with 2,19,23,317 and 1031 digits) but it is conjectured that there are an infinite number of repunit primes and there are two probable others (those with 49081 and 86453 digits!).
	www.bath.ac.uk /~sj218/pn4.html (1320 words)

	Puzzle 195. Zero-free primes and its squares
		Primes such that their squares are free of the digit D. Recently I tackled another interesting puzzle (** squares) from the always challenging pages of my friend Frank Rubin.
		Regarding Q.1 For D=2,3,5,6,7,8, The Smallest Titanic Prime 10^999+7 is such that its square is free of digit D. For D=4,9, The Titanic Prime 10^999+3561 is such that its square is free of digit D. A Titanic prime such that its square is free of D for D=1.
		Find one titanic prime (digits=>1000) such that its square is free of the digit D, for each of the following values for D: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
	www.primepuzzles.net /puzzles/puzz_195.htm (634 words)

	The Top Twenty: Cullen
		As part of the Prime Pages and its list of the Largest Known Primes, we keep a list of the 5000 largest known primes (currently those with 73156 digits or more) plus twenty each of certain selected forms.
		Now the known Cullen primes include those with n=1, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825, 262419 and 361275 (they are composite for all smaller n).
		Hooley76], but it is still conjectured that there are infinitely many Cullen primes.
	primes.utm.edu /top20/page.php?id=6 (292 words)

	Puzzle 304. A larger square embedded
		The Prime Pages shows the Generalized Cullen prime 105994*10^105994+1 was found in 2000 by Guenter Loeh with Yves Gallot's Proth.exe.
		No prime starts or ends with 0 so 4z must always be inside a single prime.
		The only smaller potential primes containing 4z are a4zb where a in {0,1,2,3} and b in {1,3,7,9}.
	www.primepuzzles.net /puzzles/puzz_304.htm (833 words)

	1990 - Wikipedia, the free encyclopedia
		March 24 - The government of Australian prime minister Bob Hawke is re-elected for a 4th term.
		Approximately 26 to 30 people are killed and several wounded (including then Prime Minister, A.N.R. Robinson, who is shot in the leg).
		November 28 - Margaret Thatcher resigns as Prime Minister of the U.K. John Major succeeds her as Party Leader and is appointed Prime Minister by Queen Elizabeth II.
	en.wikipedia.org /wiki/1990 (3136 words)

	Cullen Genealogy Posts: Co. Meath, Ireland
		Cullen built up such a splendid reputation for himself as an executive administrative officer of exceptional ability and unfailing impartiality.
		James Cullen was also a well known mathematician who studied the primality of numbers of the form C
		These numbers, and the list of those Cullen Numbers that are actually prime (the Cullen Primes) are named in his honor.
	www.lrbcg.com /jtcullen/PostMeat.htm (734 words)

	Encyclopedia :: encyclopedia : Orders of magnitude (numbers) (Site not responding. Last check: 2007-10-31)
		Math: 4,294,967,296 - smallest number of the form (2^(2^n)) that does not produce a prime number when 1 is added.
		However, virtually unlimited colors are possible by using floats from 0 to 1 as color components, so this limit is less important than it might seem.
		Proving prime numbers with a thousand to several tens of thousands of decimal digits, depending on special form, can be done in minutes on modern computers.
	www.hallencyclopedia.com /Orders_of_magnitude_(numbers) (2112 words)

	shoot for the edit \ forums ~ View topic - Original Lead Voice Actors in Transformers
		Also, Cullen is known for refusing to speak parts that he doesn't think are fit for the movie.
		Cullen and Welker have shown an interest in this film from what I have been able to cobble together, so they would probably be more inclined to work with the project instead of the other way around like Celebreties have a habit of doing.
		Thanks mostly to Peter Cullen's husky, ennobled voice, Optimus became a kind of surrogate father to me, while my actual father was almost nonexistent, thanks primarily to all the business trips he had to make.
	www.shootfortheedit.com /forums/viewtopic.php?t=161 (3567 words)

	Peter Cullen Could Still Be Optimus Prime (Site not responding. Last check: 2007-10-31)
		We reported a while ago that Peter Cullen had indeed been brought in to audition for the voice role of Optimus Prime in the upcoming Transformers movie. However, we weren't sure (due to comments from the films producer) that anything was really going to come from it.
		Cullen played the voice of Prime, and several other Transformers, in both the animated series and Transformers: The Movie.
		Fan support for Cullen as Prime has blossomed on Internet message boards, and according to members of the panel, Michael Bay and company are looking into using Cullen as a result.
	www.themovieblog.com /archives/2006/07/peter_cullen_could_still_be_optimus_prime.html (435 words)

	Divisibility of Cullen Numbers
		The divisibility properties and the determination of which Cullen Numbers are prime numbers is a main attraction and a problem that dates back to their introduction in 1905 by Rev Cullen.
		In fact, one-third of all Cullen Numbers are divisible by three; one-fifth of all Cullen Numbers are divisible by five; one seventh of all Cullen Numbers are divisible by seven; and so on.
		Divisibility of Cullen Numbers according to the prime factors of the index of Cullen Numbers seems to be a reasonable approach.
	www.lrbcg.com /jtCullen/Math1.htm (7298 words)

	The Prime Glossary: Cullen number
		=3, was prime, but with the possible exception of the 53rd, the next 99 were all composite.
		Sometimes, the name "Cullen number" is extended to also include the Woodall numbers: W
		Still it has been conjectured that there are infinitely many Cullen primes C
	primes.utm.edu /glossary/page.php?sort=Cullens (356 words)

	Scoop: Questions Of The Day Transcript - 26 June 2003
		Hon Dr MICHAEL CULLEN: That is a specific historical claim, and is very similar to the agreement arrived at by the previous Government in respect of Lake Taupo.
		Hon Dr MICHAEL CULLEN (Deputy Prime Minister), on behalf of the Prime Minister: It is the Government’s policy that we will act to uphold rights of public access to and use of the foreshore and seabed for all New Zealanders, while at the same time protecting Mâori customary rights.
		Hon Dr MICHAEL CULLEN: To extend what is proposed in the bill introduced this afternoon, and to go to that 6 percent differential, would cost an additional $54 million a year—I think it is. But the member misses the point.
	www.scoop.co.nz /stories/PA0306/S00518.htm (6887 words)

	GARY CHALK asks Don Murphy about possibly voicing Prime in the film... - The Superhero Hype! Boards (Site not responding. Last check: 2007-10-31)
		I grew up with Cullen's Prime, but I have watched a few episodes of Cybertron, and I feel that Chalk fits the role just fine.
		Prime was the autobot war leader for millennia, he was battle hardened and tough, and it showed in his voice.
		In japan, Optimus Primal was Optimus Prime were one in the same one matrix of leadership, one spark.
	www.superherohype.com /forums/showthread.php?t=208554 (2253 words)

	Peter Cullen Is Optimus Prime (Site not responding. Last check: 2007-10-31)
		Yesterday we reported that a panel at Comic-Con had announced that Peter Cullen, the original voice of Optimus Prime in the Transformers cartoon was being "seriously considered" for reprising his role as the voice of the Autobot leader.
		Several sources from Comic-Con are reporting that during another panel discussion, Peter Cullen came on the phone and announced it was done...
		Prime's voice was an iconic part of the original cartoon.
	www.themovieblog.com /archives/2006/07/peter_cullen_is_optimus_prime.html (1058 words)

	Glenn Morshower to Join Prime Directive Cast? - Transformers News and Reviews
		Having "Prime Directive" as a working subtitle is okay by me. Heck look at some of the other TF subtitles we've had: "Primus Unleashed," "Infiltration," "The Unicron Battles," and the list goes on.
		You guys who want Cullen are only driven by the thought that he used to be perfect for the role, AND, more importantly that the role was perfect for him.
		Cullen should make a cameo appearance as Vector Sigma or something like that in a later movie.
	www.tformers.com /article.php?sid=5987 (1874 words)

	Garry Chalk contacts Don Murphy! - Transformers News
		Cullen and Welker might have lost their voices as Prime and Megs.
		Cullen would be the "better" choice to me, as he was the original OP.
		Cullen is the original but Chalk is the most deserving.
	www.seibertron.com /news/view.php?id=6010 (4107 words)

	Don Murphy Message Board - What Do The Fans Say ? (Site not responding. Last check: 2007-10-31)
		Cullen is Prime to us and our various generations.
		Sure he was decent in Beast Wars as That Gorrilla named Pimal, but that was when HE got to invent the character and that was 10 YEARS ago when he was up and comming and looking to make a name in the bussiness for himself.
		He's tried his take at Optimus Prime, and his piss poor attempt is the whole reason I don't even watch the new Transfomers shows any more.
	www.d13satellite.com /donmurphy/showthread.php?s=&postid=290346 (2356 words)

	Peter Cullen News
		Yesterday we reported that a panel at Comic-Con had announced that Peter Cullen, the original voice of Optimus Prime in the Transformers cartoon was being "seriously considered" for reprising his role as the...
		The original voice of Optimus Prime, Peter Cullen, is still the voice of the character and will lend his voice to Paramount's upcoming film TRANSFORMERS.
		As reported by IESB and confirmed by Producer Roberto Orci, Peter Cullen will be reprising his role as Leader of the...
	www.topix.net /who/peter-cullen (561 words)

	1st Coordinated Generalized Cullen Prime Search
		for 31 b's are no GC primes found with n + 2 > b
		for 32 b's are no GC primes found with n + 2 > b
		for 33 b's are no GC primes found with n + 2 > b
	www.primzahlenarchiv.de /news.html (412 words)

	Transfandom.com : News Archive (Site not responding. Last check: 2007-10-31)
		Well I think that Peter Cullen would be best for prime because Hey he is the Prime I grew up listening to, and besides I like how he blended a little of John Wayne into the voice.
		Anyway, unless Gary Chalk has vastly improved his Prime skills, it should be very clear as to whether he or Peter Cullen is voicing Prime.
		Cullen's Optimus voice was very deep and heroic, while Chalk's showed a bit more emotion and and sounded fairly different.
	www.transfandom.com /main/archive2002/news.php?id=164 (323 words)

	Cullen Did Not Audition For Transformers Movie After All? - Transformers News and Reviews
		The obvious compromise for Bay to make on the whole voice actor debacle is to cast Prime as he sees fit, and hire on Cullen in a supporting role, as a nod to the fans who will recognize him.
		Obviously my preference would be to hear Peter Cullen as Prime, but that's something he hasn't done in over a decade and a half so I don't expect it to happen.
		The biggest disaster would be this--if Cullen DOES voice Prime, and his performance is not as spectacular as all the fanboys are hoping for.
	tformers.com /article.php?sid=6097 (1593 words)

	Peter Cullen WANTED to Voice Optimus Prime in RiD? - Transformers News
		Cullen is my favorite Prime,but in his absence Chalk anyone else is simply a crime.
		They did do RID yes and Neil Kaplan who did RID Prime is a great actor I don't see why so many go at "fakes" like him for when he's not he had to work with a dubbed series.
		If that rumour is true about Cullen and Welker returning as the characters that we know and love Im gonna be as happy as a pig in mud!I will be buying that DVD ASAP when it is released in Australia.
	www.seibertron.com /news/view.php?id=2881 (4567 words)

	Scoop: Questions And Answers - Thursday, 6 April 2006
		I think we are all aware that the Prime Minister is temporarily delayed on matters of hospitality towards the Premier of China.
		Hon Dr MICHAEL CULLEN: It is absolutely accurate to say that when we became the Government, the whole CER relationship had been going nowhere since about 1989, and the Australians were very pleased that we picked it up and started to run with it.
		Hon Dr MICHAEL CULLEN (Deputy Prime Minister) on behalf of the Prime Minister: The general matter of human rights was raised in the ministerial discussions this morning.
	www.scoop.co.nz /stories/PA0604/S00138.htm (8186 words)

	CardboardCutOut.net \| CARTOON > Optimus Prime - Cardboard Cutout \| Optimus Prime - Peter Cullen
		Optimus Prime is the leader of the Autobots, and the greatest warrior in the history of the Transformers.
		This full sized, high quality cardboard cutout is easy to assemble and the cutout has a fold-out strut to the rear which means it's entirely self supporting.
		Transformers, Optimus Prime and Megatron are © 2005 Hasbro.
	www.cardboardcutout.net /layout1.jsp?page=prod&prod=193587&s1=29&s2=582&title=Transformers&stitle=Transformers (170 words)

	Range List
		Select a range of n to test and reserve it here to add it to the following list.
		If your primes are large enough to be recorded on the list of
		Largest Known Primes, then you will want to submit it using the
	www.prothsearch.net /cullenbook.html (1075 words)

	Peter Cullen (Optimus Prime) narrator for... - phatmass phorum
		They have Peter Cullen (the voice of Optimus Prime and Ironhide in the classic Transformers cartoons), to voice the teaser trailer and will narriate the film!
		Also another note: Peter Cullen is one of the voices for Toonami, and has done the Starcraft: Ghost and World Of Warcraft trailers.
		Peter Cullen rules almost as much as Optimus.
	www.phatmass.com /phorum/index.php?showtopic=31117 (221 words)

	id:A005849 - OEIS Search Results
		Prime Cullen numbers: numbers n such that n2^n + 1 is prime*.
		P. Ribenboim, The Book of Prime Number Records.
		1354828 is prime (found by M. Rodenkirch in Aug.2005), but not known to be the next term since the region from 1150000 to 1354828 is incompletely searched, Eric W. Weisstein (eric(AT)weisstein.com), Nov 29, 2005).
	www.research.att.com /~njas/sequences/A005849 (146 words)

	Peter Cullen (I) (Site not responding. Last check: 2007-10-31)
		Discuss this person with other users on IMDb message board for Peter Cullen (I)
		Peter Cullen Voice In Axe Snake Peel Commercials?
		Find where Peter Cullen is credited alongside another name
	www.imdb.com /name/nm0191520 (394 words)

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