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	Palindromic prime - Wikipedia, the free encyclopedia
		A palindromic prime is a prime number that is also a palindromic number.
		Palindromicity depends on the base of the numbering system and its writing conventions, while primality is independent of such concerns.
		It's possible that a triply palindromic prime in base 10 may be also be palindromic in another base, such as base 2, but it would be highly remarkable if it was also a triply palindromic prime in that base as well.
	en.wikipedia.org /wiki/Palindromic_prime (287 words)

	Palindromic number - Wikipedia, the free encyclopedia
		The term palindromic is derived from palindrome, which refers to a word like rotor that remains unchanged under reversal of its letters.
		Although palindromic numbers are most often considered in the decimal system, the concept of palindromicity can be applied to the natural numbers in any numeral system.
		All numbers in base 10 with one digit {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} are palindromic ones.
	en.wikipedia.org /wiki/Palindromic_number (684 words)

	What's Special About This Number?
		is the number of planar partitions of 10.
		is the number of planar partitions of 11.
		is the number of planar partitions of 12.
	www.stetson.edu /~efriedma/numbers.html (7257 words)

	Math Forum: Ask Dr. Math FAQ: Glossary of Numbers
		A happy number is a number for which the sum of the squares of the digits eventually equals 1.
		A polygonal number is the number of equally spaced dots needed to draw a polygon.
		A triangular number is the number of dots needed to draw a triangle.
	mathforum.org /dr.math/faq/faq.number.glossary.html (1547 words)

	[No title]
		For example, the smallest number that never becomes palindromic in the base 2 is 10110 (decimal 22).
		'palindrom' - this is a number which looks the same from both sides,.
		They note that palindromic primes appear to be denser in the domain of all palindromes than the ordinary primes are in the domain of all positive integers.
	www.math.niu.edu /~rusin/known-math/96/palindrom.196 (1120 words)

	Pages of Shades - Legends, Myth & More...
		The beastly palindromic prime number 16661 is such a number, since it is the 1928'th prime, and 1 + 6 + 6 + 6 + 1 = 1 + 9 + 2 + 8.
		The number 666 is equal to the sum of the digits of its 47th power, and is also equal to the sum of the digits of its 51st power.
		A Smith number is an integer in which the sum of its digits is equal to the sum of the digits of its prime factors.
	www.angelfire.com /realm/shades/demons/numberofthebeast.htm (2045 words)

	[No title]
		Since the center numbers are under 2^12 (n=6 in the formulas for the pattern), I found 8 more sets of these for n = 7 to 14, and an n=15 repetition for the center number 27*(2^n+1) case.
		The other two numbers required to complete the magic square are 15 and 39 for the 27 case, and 27 and 39 for the 33 case.
		The numbers required to complete the square are 99 and 159, and 159 is not a palindrome in base 2, nor will it be when multiplied by 2^n+1, so this pattern does not yield any solutions for these edges.
	www.mathpuzzle.com /palmagicsquares.txt (1112 words)

	New Page 1 (Site not responding. Last check: 2007-10-21)
		The goal of this project is to study the distribution of the number of palindromic clusters, specifically in DNA sequences.
		Palindromes are defined as being sequences of letters that are read the same forward and backward.
		Here, palindromic clusters are defined as being any cluster of size greater than or equal to two that is made up of x number of palindromes, with x being greater than or equal to one.
	www.etsu.edu /iqb/summerprg2/palindrom_group.htm (273 words)

	Palindromic Sums
		For numbers from 2 to 99, we need to reverse each number, add it to the original and then check if the result is a palindrome.
		To test if a number is a palindrome, we'll convert it to a string, pad it to the to the left with as many zeros as are at the end, and then test if it is a palindrome.
		Finally, to count the number of steps, we can make a recursive call in the "reverse, sum and test" procedure, passing each sum as the input to the next call until a palindrome is found or the numbers get too large to check.
	www.delphiforfun.org /Programs/PalindromeSums.htm (280 words)

	MATHEWS: Palindromic Numbers (Site not responding. Last check: 2007-10-21)
		The first palindromic numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131,...
		The number of palindromic primes with 1, 2, 3,...
		Using the fact that the sum of the reciprocals of all palindromic numbers is convergent the sum of the reciprocals of the palindromic primes also converges to a constant.
	www.wschnei.de /digit-related-numbers/palindromes.html (950 words)

	The palindromic number conjecture: don't try this!
		A palindrome in an expression--literal or numerical--which reads the same backwards as forwards, as in "Madam I'm Adam" and 12321.
		If this number is not a palindrome, then repeat with this number: 1069 + 9601 = 10670.
		Also note that if you experiment with large numbers, the sums that fail to be palindromic generally come close in the sense that symmetrically located digits are usually very close (e.g., 7 and 8).
	www.atarimagazines.com /creative/v11n8/24_The_palindromic_number_co.php (711 words)

	The Number of the Beast
		The nth triangular number is given by the formula T(n) = (n)(n+1)/2, and is equal to the sum of the numbers from 1 to n.
		The nth doubly-triangular number is, among other things, the number of ways to paint the vertices of a square using a set of n colors, where the colors are distinct but rotations and reflections of a given colored square are considered the same.
		If these 148 numbers (the first 148 digits of 1/149) are written as the top row of a 148x148 square grid, and then the digits of 2/149 as the second row, then 3/149 and so on, the result is a 148x148 pseudo-magic square, in which every row and column sums to 666.
	users.aol.com /s6sj7gt/mike666.htm (2634 words)

	Current Problems (Site not responding. Last check: 2007-10-21)
		Davies was driving with his family on vacation, when he looked at his odometer and saw a palindromic number: 16961.
		The numbers on all the houses below the Walkers house have the same sum as all those numbered above their house.
		Palindromic numbers such as 25452 read the same backwards and forwards.
	www.oldtrail.org /activities/NewProbs.html (481 words)

	Palindrome Order (Site not responding. Last check: 2007-10-21)
		A palindromic number is any number which has the same value when read from either direction.
		If the number is not a palindrome, under it write down the number you get by reversing its digits.
		Count the number of times that you had to add in order to reach the palindrome.
	staff.imsa.edu /math/journal/volume4/webver/palinord.html (206 words)

	Ivars Peterson's MathTrek - Palindromic Primes (Site not responding. Last check: 2007-10-21)
		Among these curiosities are the so-called palindromic primes--whole numbers, evenly divisible only by themselves and 1, that also have the same sequence of digits read forward or backward.
		In the realm of palindromic primes, 11 is the only one with an even number of digits.
		There are 15 palindromic primes consisting of three digits: 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, and 929.
	www.maa.org /mathland/mathtrek_5_10_99.html (546 words)

	Palindromes
		All these number palindromes will be in our decimal number system, although of course, palindromes exist in all number systems.
		Numbers that contain the digit 1 only (in the decimal system) are known as repunits.
		Of the 900 3-digit numbers 90 are palindromic and 735 require from 1 to 5 reversals and additions.
	www.geocities.com /CapeCanaveral/Launchpad/4057/palindromes.htm (1961 words)

	More about Palindromic Triangulars (Site not responding. Last check: 2007-10-21)
		Palindromic numbers are numbers which read the same from
		While extending the list with the next higher palindromic triangular may be very difficult to accomplish, searching for extra features in the existing ones is something that we all could embark on.
		There exist a sequence of precisely 1000 digits which includes all the numbers of 1 to 1000 as substrings.
	www.ping.be /~ping6758/triangle.htm (1605 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-21)
		Question: A palindromic number reads backwards and forwards the same way, e.g.
		The number years until the next palindromic calendar is? (a) 347 (b)237 (c)127 (d)17 (e)6
		Well, first you should try to figure out what the next palindromic year is. If it starts with 19, then it's going to have to be 1991, which already happened, so that can't be it.
	mathforum.org /library/drmath/view/58615.html (159 words)

	Jason Doucette - World Records - 196 Palindrome Quest, Most Delayed Palindromic Number
		It is lower than the number that we expected could be the potential record, and it is on a different thread (series of numbers that are formed by the reversal-addition iteration), as the resultant palindrome is different from that of the record for 161 iterations.
		These numbers are not recorded even if they are the most delayed palindromic number of that digit set, simply because this was not the purpose of the program.
		A001127); of all the n-digit numbers N which eventually reach a palindrome, pick that number N which takes the greatest number of steps to converge (in case of a tie, pick the smallest N); sequence gives palindrome that is reached.
	www.jasondoucette.com /worldrecords.html (5716 words)

	Emirps (Site not responding. Last check: 2007-10-21)
		A palindrome is something that is the same forwards and backwards.
		An Emirp is a prime number whose reverse is also a prime but which is not a palindromic number.
		Thirteen is prime, its reverse (31) is prime and it is NOT a palindrome.
	www.lhs.logan.k12.ut.us /~rweeks/cp2/emirp.htm (314 words)

	Amazing Number Facts No43
		This is the number equivalent of a Palindrome which is a word which reads the same forwards and backwards.
		Pick a number, reverse its digits and add the resulting number to the original number.
		The built-in endpoint had been reached; after 2,415,836 reversals and additions, 196 had grown to a number of 1,000,000 digits without ever yielding a palindrome.
	www.madras.fife.sch.uk /maths/amazingnofacts/fact044.html (212 words)

	[No title]
		My database says there is at least one number in base 3 which never reaches a palindrom.
		The column mentioned the "reverse the digits and add" procedure had been carried out tens of thousands of times on 196 (decimal) without getting a palindromic number.
		My recollection is that the column said the conjecture had not been proved true in any base, and had been proved false only in the binary or base two.
	www.math.niu.edu /~rusin/known-math/96/palindrome (870 words)

	MATH 5160 Homework Assignment #1 (Site not responding. Last check: 2007-10-21)
		A. Prove that the sum of two consecutive tetrahedral numbers is a square pyramidal number.
		Find three palindromic numbers with at least two digits each whose product is equal to 20022002.
		Express this number as a figurate number, and explain how all of the gifts might be arranged in a geometric pattern.
	www.math.armstrong.edu /faculty/brawner/m5160hw1.html (164 words)

	Introduction : what is a palindrome ? (Site not responding. Last check: 2007-10-21)
		Palindromic numbers (30.9.1995) Maple User Group by Dr.
		Jeux Mathématiques et Logiques: Le palindrome 11 by Gilles Hainry
		Palindromes by Gerard Villemin - sort of a French mirrorsite
	www.worldofnumbers.com /intro.htm (388 words)

	Untitled Document
		Toshi "Junk" Kato is intrigued by this sequence, and conjectures that there are an infinite number of base10 palindromic square numbers with an even number of digits.
		He points out that 2002 is an unusual number because it's a palindromic number (it reads forward and backward the same).
		The challenge is to find three different palindromic numbers that can be multiplied together to get the palindromic number 20,022,002.
	www.mathpuzzle.com /25Feb.htm (3973 words)

	Can You Find by Shyam Sunder Gupta
		Two numbers containing together all the ten digits (from 0 to 9) only once such that their product also containing all the ten digits (from 0 to 9) only once is largest.
		The total expected number of solutions with more than 9 digits is the sum for d=10 to infinity of 0.27^d ~= 1/350000.
		There are no numbers k with sigma(k)=2^n for n between 482 and 520 since the sum of the Mersenne prime exponents up to 127 is 481 and 521 is the next Mersenne prime exponent.
	www.shyamsundergupta.com /canyoufind.htm (4365 words)

	Palindromic Numbers (Site not responding. Last check: 2007-10-21)
		Here is a simple way to turn most numbers into palindromic numbers
		Therefore, December 1 can be written as 121, which is a palindromic number.
		The Number Devil: a mathematical adventure by Hans Magnus Enzensberger.
	educ.queensu.ca /~fmc/december2001/Palindrome.htm (88 words)

	[No title]
		/* Test number palindromic by repeated addition Designed and implemented by John Walker in August 1987.
		At every checkpoint the timed checkpoint is reset.
		Note how we accumulate the resulting BCD number in the upper nybble of the 8 bit original number.
	www.fourmilab.ch /documents/threeyears/pquest.c (230 words)

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