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Topic: Permutable prime

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	User:PrimeFan - Wikipedia, the free encyclopedia
		I'm fascinated by repunit primes in various bases while simultaneously feeling a bit guilty about devoting too much time to kinds of primes that are base-dependent, such as Smarandache-Wellin primes.
		So far the only primes I know of this form are 2 (which is a consequence of the algebraic definition, not the base-dependend one), 11 and 101.
		The primes less than 41 that meet this criterion are 3, 5, 7, 11 and 17.
	en.wikipedia.org /wiki/User:PrimeFan (928 words)

	Reference.com/Encyclopedia/Permutable prime
		A permutable prime is a prime number, which, in a given base, can have its digits switched to any possible permutation and still spell a prime number.
		Any repunit prime can automatically be assumed to be a permutable prime as well.
		In base 2, only repunits can be permutable primes, because any 0 permuted to the one's place results in an even number; unless we consider 1 a prime number and 10 permutable with 01.
	www.reference.com /browse/wiki/Permutable_prime (187 words)

	Prime Curios!: 13
		The smallest multi-digit Inert prime: primes congruent to {2, 3} mod 5.
		The smallest prime that isn't the sum of distinct primes of the form 4n+3.
		The smallest prime which can be represented as sum of two primes (i.e., 2 + 11) as well as sum of two composite numbers (i.e., 9 + 4).
	primes.utm.edu /curios/page.php/13.html (1137 words)

	The Prime Glossary: permutable prime
		A permutable prime is a prime with at least two distinct digits which remains prime on every rearrangement (permutation) of the digits.
		Most likely, in base ten the only permutable primes are 13, 17, 37, 79, 113, 199, 337, and their permutations.
		If we remove the restriction that permutable primes have at least two distinct digits, then all one digit primes, as well as all repunit primes, would be trivially permutable.
	primes.utm.edu /glossary/page.php?sort=PermutablePrime (266 words)

	snakes
		155 is the sum of the primes between its smallest and largest prime factor.
		641 is the smallest prime factor of 225+1.
		2701 is the smallest number n which divides the average of the nth prime and the primes surrounding it.
	snakeuk.blogspot.com (21319 words)

	MATHEWS: Circular, Permutable, Truncatable and Deletable Primes
		Therefore 187 is a circular prime because all cyclic rotations are prime.
		Permutable primes are primes with at least two distinct digits which remain prime when permuting the digits.
		Left-truncatable primes p of length n with the additional property that no prime with length n+1 can have its leftmost digit removed to produce p are called Henry VIII primes (Kahan and Weintraub, 1998).
	www.wschnei.de /digit-related-numbers/circular-primes.html (577 words)

	More about Circular Primes
		These are prime numbers that remain prime when you rearrange their digits in any order you please.
		For example, 13 is a permutable prime, since both 13 and 31 are prime.
		Again, 113 is a permutable prime, since it and each of the numbers 131 and 311 is prime.
	www.worldofnumbers.com /circular.htm (1064 words)

	What's special about this number? (3)
		power where the first half of the digits are a permutation of the last half of the digits.
		is the smallest prime which will nor remain prime if one of its digits is changed.
		is the smallest prime that remains prime when added to its reverse.
	www.archimedes-lab.org /numbers/Num201_500.html (1470 words)

	What's special about this number? (2)
		is the sum of the primes between its smallest and largest prime factor.
		is the largest number with the property that it and its ditinct prime factors are palindromic in Roman numerals.
		is also a 'permutable prime', meaning that 919 and 991 are primes as well.
	www.archimedes-lab.org /numbers/Num70_200.html (1453 words)

	TIPCO
		36 The smallest square that is the sum of a twin prime pair: 17 and 19.
		159 Its square (25281) is the concatenation of 2 primes: 2 and 5281.
		821 The smallest prime of the first prime quadruple for which the sums of the cubes of the digits of the 4 primes (821, 823, 827, 829) are primes themselves (521, 547, 863, 1249).
	www.trottermath.net /numthry/tipco.html (2511 words)

	iqexpand.com (Site not responding. Last check: 2007-11-05)
		A repunit prime is a repunit that is also a prime number.
		Professional mathematicians used to consider repunits an arbitrary concept, arguing that it depends on the use of decimal numerals.
		The prime repunits are a subset of the permutable primes, i.e., primes that remain prime after any permutation of their digits.
	repunit.iqexpand.com (314 words)

	MATHEWS: Prime Numbers and Digit Related Topics
		In this paper we are interested in prime numbers as a special case of digit related numbers.
		More interesting is the definition of a deletable prime as a prime for which the digits can be deleted step by step in some order and each step remains prime.
		Dihedral primes are defined by Mike Keith as integers n which displayed on a calulator have the property that n, n upside down, n in a mirror and n upside down and in a mirror are all primes.
	www.wschnei.de /digit-related-numbers/primes.html (892 words)

	► name 2 consecutive prime numbers whose product is 899
		Do you have a good answer to the queston: "name 2 consecutive prime numbers whose product is 899?" If so, please Submit an answer.
		If your answer shows that you really know name 2 consecutive prime numbers whose product is 899, we will post it and link to your site to show our thanks for helping to build FAQ-Site into a valuable resource.
		Prime) is a power of two times a product...
	www.faq-site.com /faqs/136/name-2-consecutive-prime-numbers-whose-product-is-899.html (354 words)

	[No title] (Site not responding. Last check: 2007-11-05)
		is the largest number with the property that all smaller numbers relatively prime to it are prime.
		is the smallest prime which is the sum of the cubes of the first few primes.
		is the length of the largest repunit that is known to be prime.
	home.comcast.net /~tdk500/Specialno.html (6437 words)

	300 (number)
		It is a triangular number and the sum of a twin prime (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).
		Three hundred and one CCCI 301 = 7 43, sum of three consecutive primes (97 + 101 + 103), also telephone area code for parts of Maryland, also HTTP status code indicating the content has been moved and the change is permanent
		Three hundred forty CCCXL 340 = 2^2 5 17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53)
	www.guajara.com /wiki/en/wikipedia/3/30/300__number_.html (1623 words)

	Rxpress - 300 (number) - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-11-05)
		301 = 7·43, is the sum of three consecutive primes (97 + 101 + 103).
		371 = 7·53, sum of three consecutive primes (113 + 127 + 131), sum of seven consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67), sum of the primes from its least to its greatest prime factor (sequence A055233 in OEIS), the next such composite number is 2935561623745
		384 = 2^7·3, sum of a twin prime (191 + 193), sum of six consecutive primes (53 + 59 + 61 + 67 + 71 + 73), double factorial of 8
	www.rxpresspharmacy.com /wiki/index/365_(number) (1382 words)

	Reference.com/Encyclopedia/127 (number)
		As a Mersenne prime, 127 is related to the perfect number 8128, and 2
		- 1 is also a Mersenne prime, making it a double Mersenne prime.
		The next prime is 131, with which it comprises a cousin prime.
	www.reference.com /browse/wiki/127_(number) (209 words)

	Rxpress - 113 (number) - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-11-05)
		One hundred thirteen is the 30th prime number, following 109 and preceding 127, a Sophie Germain prime, a Chen prime, a primeval number, and a permutable prime with 131 and 311.
		113 is an Eisenstein prime with no imaginary part and real part of the form 3n − 1.
		It is a highly cototient number and a centered square number.
	www.rxpresspharmacy.com /wiki/index/113_(number) (142 words)

	What's Special About This Number?
		is the smallest prime with 3 distinct digits that remains prime if one of its digits is removed.
		is the smallest prime p so that p-1 and p+1 are divisible by cubes.
		is the smallest prime where inserting the same digit between every pair of digits never yields another prime.
	www.stetson.edu /~efriedma/numbers.html (7277 words)

	The world's top 130 number websites
		It is the 32nd prime number, and it is a palindromic prime as well as a permutable prime, since it permutes with one hundred thirteen and three hundred eleven.
		It is the 34th prime number, the previous is one hundred thirty-seven, with which it comprises a twin prime.
		This number is the sum of five consecutive prime numbers (19 + 23 + 29 + 31 + 37).
	dirs.org /wiki-article-tab.cfm/130__number_ (522 words)

	Category:Prime numbers - Wikipedia, the free encyclopedia
		This category includes not only articles about certain types of prime numbers, but also articles about theorems and conjectures pertaining to, and properties of, prime numbers.
		The main article for this category is Prime numbers.
		This category roughly corresponds to MSC 11A41 Primes and MSC 11A51 Factorization; primality
	en.wikipedia.org /wiki/Category:Prime_numbers (102 words)

	71 (number) (Site not responding. Last check: 2007-11-05)
		The next is seventy-three with which it comprises a twin prime.
		It is also a permutable prime with seventeen.
		If we add up the primes than 71 (2 through 67) we get which is divisible by 71 8 times.
	www.freeglossary.com /Seventy-one (300 words)

	The Contest Center - Digit Puzzles (Site not responding. Last check: 2007-11-05)
		Find the smallest prime containing all of the digits from 0 to 9, such that when you reverse the digits the result is also a prime.
		If you permute the digits of the prime 337 you get 373 and 733, which are also prime.
		The prime 1366733339 can be peeled down to a single digit by removing one digit at a time from either end to make a sequence of primes 136673333, 36673333, 3667333, 667333, 66733, 6673, 673, 67, 7.
	www.contestcen.com /digits.htm (2518 words)

	Repunit - TheBestLinks.com - Repunit prime, Decimal, Integer factorization, Number, ... (Site not responding. Last check: 2007-11-05)
		Repunit prime, Repunit, Decimal, Integer factorization, Number, Prime number...
		is prime for n = 2, 19, 23, 317, 1031,...
		It has been conjectured that there are infinitely many repunit primes (http://primes.utm.edu/glossary/page.php?sort=Repunit).
	www.thebestlinks.com /Repunit_prime.html (348 words)

	seventy three
		The previous is seventy-one, with which it comprises a twin prime.
		It is also a permutable prime with thirty-seven.
		The total number of books in the Holy Bible in the Catholic version if the Book of Lamentations is counted as a book separate from the Book of Jeremiah.
	www.fact-library.com /seventy_three.html (153 words)

	permutable - OneLook Dictionary Search
		We found 6 dictionaries with English definitions that include the word permutable:
		Tip: Click on the first link on a line below to go directly to a page where "permutable" is defined.
		permutable : Merriam-Webster's Online Dictionary, 10th Edition [home, info]
	www.onelook.com /?w=permutable&ls=a (87 words)

	List of mathematical topics (P-R) - Gurupedia
		Permanent -- Permutable prime -- Permutation -- Permutation group -- Permutation matrix -- Permutations and combinations -- Perpendicular -- Perrin pseudoprime -- Perron Integral -- Persistence of a number --
		Primality test -- Prime -- Prime (order theory) -- Prime factor -- Prime factorization algorithm -- Prime ideal -- Prime knot --
		Prime number -- Prime number theorem -- Prime-factor FFT algorithm -- Prime pages --
	www.gurupedia.com /l/li/list_of_mathematical_topics_(p-r).htm (1408 words)

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