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Number Theory
11: Number theory
http://www.math.niu.edu/~rusin/known-math/index/11-XX.html
Dave Rusin's guide to number theory.
theory, number, numbers, integers, number, fields, algebraic, theory, equations, functions, theoreti c, analysis, primes, example, problem, groups, quadratic, usually, diophantine, elementary, integer, rational, topics, algebraic, results, factorization, mathematics, course, galois, including, behavi our, curves, questions, solutions, geometry, geometry, history, introduction, linear, interest, squa res, series, structure, verlag, overlap, integral, springer, testing, primality, theorem, lattices
niu.edu - rank der domain 23088 (8477 in US)
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The Arithmetic Properties of Binomial Coefficients
http://www.cecm.sfu.ca/organics/papers/granville/index.html
Activated text by Andrew Granville.
sfu.ca - rank der domain 13745 (143 in CA)
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The Work of Robert Langlands
Robert Langlands' work - main page
http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html
Thesis, papers, manuscripts, letters and bibliography.
theory, eacute, automorphic, langlands, groups, university, shimura, varieties, material, series, re presentations, eisenstein, review, formula, representation, princeton, shelstad, robert, integrals, institute, automorphic, british, harish, letter, chandra, functions, columbia, selberg, comments, ha rder, rapoport, conference, equations, project, mathematics, number, spaces, dimension, orbital, pou liot, factors, percolation, invariance, endoscopy, change, jacquet, functoriality, transfer, casselm an, published, professor
ubc.ca - rank der domain 6398 (60 in CA)
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Science/Math/Number_Theory
Science/Math/Number_Theory
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Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
Vignettes on automorphic and modular forms, representations, L-functions, and number theory
http://www.math.umn.edu/~garrett/m/v/
By Paul Garrett.
updated, series, functions, groups, eisenstein, integrals, moments, integral, version, theory, autom orphic, representations, selberg, theorem, classical, fields, principal, number, spaces, siegel, con tinuation, discrete, holomorphic, bounds, spectral, cuspidal, jacquet, representation, example, redu ctive, argument, involving, diaconu, operators, algebra, proofs, product, cuspforms, godement, ident ities, simple, rankin, bernstein, compact, integral, square, method, convergence, spherical, decompo sition, tensor
umn.edu - rank der domain 3610 (1363 in US)
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Number Theory Glossary
Number Theory Glossary
http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html
Compiled by Robert Campbell.
glossary, number, theory
umbc.edu - rank der domain 19517 (7098 in US)
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Somos Polynomials
http://grail.cba.csuohio.edu/~somos/somospol.html
Related to Somos sequences and elliptic theta functions.
csuohio.edu - rank der domain 56308 (21129 in US)
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The Valuation Theory Home Page
The Valuation Theory Home Page
http://math.usask.ca/fvk/Valth.html
A forum for all mathematicians who work in valuation theory or apply valuation theoretical results i n their own field of research.
theory, colloquiumfest, saskatoon, theory, valuation, valuation, annual, university, conference, alg ebra, events, number, special, questions, valuation, theory, workshop, center, toronto, institute, c onferences, fields, workshop, poland, abstracts, information, postscript, saskatchewan, server, math ematicians, addresses, commalg, campinas, algebraic, endler, topology, mathematical, commutative, me moriam, created, update, maintained, viktor, kuhlmann, october, gurion, geometry, preprint, analytic , applications, archive
usask.ca - rank der domain 28291 (324 in CA)
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Online Seminar: Galois theory of p-Extensions
Online Seminar: p-extensions
http://public.csusm.edu/public/fhajir/kochbook.html
Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
theory, farshid, seminar, extensions, lemmermeyer, galois, welcome, number, participate, participant s, online, seminar, springer, online, taking, following, roughly, person, thursdays, anyone, wishing , contact, should, details, installment, postscript, format, effect, please, posting, preface, intro duction, foreword, remarks, solutions, participants, translation, exercises, address, responses, int eresting, treatment, contained, sprung, namely, problem, groups, galoissche, theorie, marcos, devote d
csusm.edu - rank der domain 134445 (52386 in US)
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Science/Math/Number_Theory
Science/Math/Number_Theory
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MathPages: Number Theory
MathPages: Number Theory
http://www.mathpages.com/home/inumber.htm
Kevin Brown's collection of sci.math postings related to number theory topics.
squares, numbers, arithmetic, fractions, square, sequences, quadratic, fraction, theorem, progressio n, fermat, sequence, pseudoprimes, diophantine, series, equations, powers, primes, congruences, recu rrences, triangles, algorithm, primality, fibonacci, divisibility, expansions, partitions, problem, cyclic, perrin, number, continued, factoring, divisors, greedy, theory, totient, function, reverse, highly, unique, intersection, solving, concordant, pattern, summations, minimizing, denominators, ge neral, palindromic, little
mathpages.com - rank der domain 838439 (303402 in US)
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MathWorld Number Theory
Number Theory -- from Wolfram MathWorld
http://mathworld.wolfram.com/topics/NumberTheory.html
Index to articles in Eric Weisstein's MathWorld in the area of number theory.
numbers, number, theory, mathworld, mathematics, algebraic, sequences, curves, rational, relations, arithmetic, general, integer, generating, functions, approximation, binary, automorphic, theorems, e quations, diophantine, special, theoretic, parity, divisors, transcendental, fractions, irrational, congruences, reciprocity, rounding, continued, normal, constants, integers, topology, alphabetical, recreational, statistics, probability, interactive, random, entries, terminology, history, applied, algebra, wolfram, calculus, analysis, geometry
wolfram.com - rank der domain 7843 (2985 in US)
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World Records for Numerical Palindromes
Jason Doucette - World Records - 196 Palindrome Quest, Most Delayed Palindromic Number
http://www.jasondoucette.com/worldrecords.html
The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
Jason Doucette's Resume Homepage, World Records for Interesting Mathematical Patterns involving Num erical Palindromes, Yarmouth Co., Nova Scotia, Canada.
World, Record, Records, Palindrome, Palindromes, Palindromic, 196, Quest, Algorithm, Problem, Compu ter Graphics, Video, Games, Real, Time, Jason, Allen, Doucette, Resume, Artificial, Intelligence, P hysics, Simulation, Video Games, Acadia, University, Transcript, Marks, Courses, Downloads, Pictur es, Samples, 1984, scientific, american, recreations, leyland, anderton, john, walker, sun, worksta tion, tim, irvin, yes, mag, canada's, science, magazine, kids, ian, peter, istvan, bozsik, wade, v anlandingham, improving, search, guinness, official, Lychrel
scrollbar, palindrome, achieved, record, verdana, september, former, current, august, family, delaye d, doucette, achievement, personal, commenced, domain, suggest, 767921, urchintracker, doucette, res ume, attempt, record, matthew, originated, backward, palindromos, century, forward, addendum, novemb er, vanlandingham, something, palindrome, shadow, b2b1c4, darkshadow, ffffff, 3dlight, highlight, e9 e8f0, 89879d, georgia, smallarial, d1d0df, 0000ff, visited, number, palindromic, records, 800080
(SLD : jasondoucette.com)
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Number Theory Web
NUMBER THEORY WEB
http://www.numbertheory.org/ntw/
Things of interest to number theorists collected by Keith Matthews.
number, mirror, university, brisbane, theory, communication, created, cambridge, electro, japanese, currently, maintained, search, working, program, welcome, improvements, webmaster, numbertheory, mod ified, matthews, british, australia, additions, suggestions, universit, things, listings, department al, interest, search, theorists, theorists, theory, number, listings, agrave, italian, hosted, serve r, downtown
numbertheory.org - rank der domain 976151 (7193 in AU)
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Number Theory Foundation
Number Theory Foundation
http://www.math.uiuc.edu/ntf/
Aims to collect donations from supporters of number theory and to disburse these donations to encour age research.
university, illinois, foundation, support, urbana, number, theory, grants, theory, champaign, number , donations, conferences, calgary, projects, toward, emeritus, northern, conference, president, comp utational, moloney, officio, supporters, contributions, selected, grants, sponsor, research, mathema tics, college, dartmouth, richard, bennett, michael, british, columbia, hanover, following, members, department, bateman, purdue, williams, wagstaff, samuel, reznick, selfridge, treasurer, fossum, mod ified
uiuc.edu - rank der domain 3768 (1443 in US)
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Hakmem Continued Fractions
HAKMEM -- CONTINUED FRACTIONS -- DRAFT, NOT YET PROOFED
http://www.inwap.com/pdp10/hbaker/hakmem/cf.html
Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.
continued, fraction, fractions, output, outside, number, inside, rational, decimal, function, functi ons, integer, arithmetic, regular, variables, should, interval, infinity, possible, denominator, num bers, because, whereupon, schroeppel, produce, instead, really, approximation, expression, generally , approximations, operations, probably, through, multiplication, always, subroutine, ranges, itself, simple, called, arguments, linear, rationals, endpoints, correct, quantities, integers, gosper, pro duced, numerator
(SLD : inwap.com)
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Number Theory
Number Theory
http://www.alpertron.com.ar/NUMBERT.HTM
Proofs along with equation solvers and graphical views written in Java.
Quadratic two integer variable equation solver, quadratic modular equations, sum of powers.
calculator, math, mathematics, diophantine, modular, sum of powers
castellano, number, theory, alpern
(SLD : com.ar)
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Introduction to Bernoulli Numbers
Introduction on Bernoulli's numbers
http://numbers.computation.free.fr/Constants/Miscellaneous/bernoulli.html
A web article with a brief history and account of their relationship with the Riemann zeta function and Fermat's Last Theorem (HTML/PS).
bernoulli, numbers, introduction, published, conjectandi, famous, posthumous, treatise, powers, cons ecutive, integers, appeared, studied, analysis, important, version, postscript, mysterious, theory, differential, topology, number, mathematics, various, places
free.fr - rank der domain 222 (3 in FR)
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Some Highlights of Arithmetic Combinatorics
Math 254A
http://www.math.ucla.edu/~tao/254a.1.03w/
Lecture notes and resources on combinatorial number theory by Terence Tao.
theorem, lecture, errata, szemeredi, gowers, course, freiman, should, translates, bourgain, applicat ions, problem, refinement, torsion, length, product, subset, combinatorial, mathematical, behrend, d ifferent, theory, number, forget, perspective, question, example, entirely, crossing, parallel, dist ance, overlap, trotter, results, reading, further, including, elekes, numbers, finite, topics, lectu re, running, summary, x64844, cauchy, estimates, plunnecke, inequality, davenport, highlights
ucla.edu - rank der domain 3270 (1244 in US)
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Fermat's Little Theorem
Fermat's Little Theorem
http://www.pballew.net/FermLit.html
With notes on Carmichael numbers and the life of R.D. Carmichael.
theorem, little, fermat
pballew.net - rank der domain 979200 (425244 in US)
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Frequently Asked Questions
Number Theory
http://db.uwaterloo.ca/~alopez-o/math-faq/node21.html
Number Theory section of the sci.math FAQ list.
Number Theory
math-faq
fermat, largest, theorem, numbers, current, primes, mersenne, status, theory, number, factor, intege r, primality, testing, algorithms, compute, record, formulae, numbers, previous, history, questions, frequently, related, number, theorem, conjectures, factorization
uwaterloo.ca - rank der domain 12688 (131 in CA)
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Lehmer's Conjecture
Lehmer's Problem
http://www.cecm.sfu.ca/~mjm/Lehmer/lc.html
That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
Lehmer's problem Lehmer's conjecture Lehmer's question Mahler's measure Mahler measure
mahler, lehmer, measure, polynomials, degree, problem, outside, polynomial, measure, circle, number, epsilon, postscript, searches, search, problem, measures, graduate, absolute, coefficient, height, computational, denote, descriptions, better, following, performed, various, histories, algorithms, s tudents, product, davidson, polynomial, compressed, suitable, taylor, slides, available, programming , system, another, algebra, computer, searches, interface, searching, vectors, output, request, form at
sfu.ca - rank der domain 13745 (143 in CA)
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Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function
Course Information
http://www.math.ohio-state.edu/lectures/connes/Connes_course.html
Lecture notes by Alain Connes.
riemann, course, formula, noncommutative, connes, noncommutative, interpretation, geometry, global, geometry, function, lecture, formulas, subject, matter, second, acrobat, formats, postscript, inform ation, following, available, downloading, critical, lectures, function, current, registration, topic s, geometry, section, listing, lectures, fourth, caldwell, laboratory, tentative, update, update4, d uring, latest, explicit, appear, resonances, geometric, noncritical, absorption, spectrum, explicit, number, remains
(SLD : ohio-state.edu)
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On-Line Encyclopedia of Integer Sequences
The On-Line Encyclopedia of Integer Sequences™ (OEIS™)
http://www.research.att.com/~njas/sequences/
Given an integer sequence, find its name, and formula.
encyclopedia, welcome, integer, sequence, sequences, nynorsk, polski, reserved, tagalog, portugu, sv enska, sloven, cymraeg, classics, superseeker, maintained, puzzles, notice, research, foundation, 17 7745, sequences, modified, transforms, format, friends, contains, lookup, browse, contribute, commen t, intellectual, property, webcam, rights, indonesia, bangla, nederlands, esperanto, hrvatski, advan ced, searches, number, languages, english, information, details, bahasa, italiano, magyar, lietuvi
att.com - rank der domain 373 (171 in US)
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Integer Relations
IntegerRelations
http://oldweb.cecm.sfu.ca/~aszanto/IntegerRelations/
To determine linear integer dependence among numerical constants and to determine the minimal polyno mial of an approximate algebraic number. Interactive or via email.
polynomial, algorithm, minimal, accuracy, precision, lindep, numbers, integer, expressions, evaluati on, results, separately, minimal, contains, relation, output, results, number, linear, checking, dep endence, linear, integerrelations, determine, floating, dependence, related, references, examples, c ompute, polynomialbutton, procedure, accepted, degree, maximal, degree, evaluation, allows, expressi on, evaluate, polynomial, evaluate, button, automatically, copied, result, interfaces, simply, locat ion, address, oldweb
sfu.ca - rank der domain 13745 (143 in CA)
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Transcendental Numbers
transcendental numbers
http://services.spd.dcu.ie/johnbcos/transcendental_numbers.htm
Maple worksheets, lecture notes and links to other resources by John Cosgrove.
homepage, available, following, version, occasion, university, theory, anyone, number, numbers, tran scendental, numbers, transcendental, history, mailing, introduction, hearing, material, related, off ers, courses, appreciate, shorey, transparencies, papers, tanguy, rivoal, valuable, wealth, michel, waldschmidt, generously, provides, function, goldfeld, robert, dorian, dedicated, tijdeman, august, please, details, course, irrationality, transcendence, contact, address, updated, jbcosgrave, mathem atica, historia
dcu.ie - rank der domain 53398 (84 in IE)
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Covers, Sumsets and Zero-sums
Covers, Sumsets and Zero-sums
http://math.nju.edu.cn/~zwsun/csz.htm
A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
sumsets, covers
edu.cn - rank der domain 959409 (57410 in CN)
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Klein Polyhedra
Keith Briggs: : Klein polyhedra
http://keithbriggs.info/klein-polyhedra.html
Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
example, parusnikov, family, polyhedra, points, convex, helvetica, korkina, planes, davenport, polyn omial, papers, bryuno, matrix, arnold, integral, origin, approximations, interest, example, discrimi nant, extremal, diophantine, institute, keldysh, totally, number, continued, referenced, algorithm, coordinates, straight, fractions, mathematical, moussafir, octant, overline, technical, weismantel, examples, thesis, plotted, briggs, helvetica, berlin, margin, consider, through, always, polyhedron, lattice
(SLD : keithbriggs.info)
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A Mechanical Proof of Quadratic Reciprocity
Quadratic Reciprocity
http://www.russinoff.com/papers/gauss.html
A paper by David M. Russinoff describing the use of the Boyer-Moore theorem prover in mechanically g enerating a proof of the Law of Quadratic Reciprocity. PS/PDF.
quadratic, reciprocity, theorem, prover, lemmas, library, derived, conjectures, proving, includes, p roofs, theorems, reasoning, automated, journal, appeared, definitions, wilson, fermat, present, mech anically, generating, describe, abstract, mechanical, russinoff, formalization, complete, account, r ecursive, consisting, argument, eisenstein, function
(SLD : russinoff.com)
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An Introduction to the Theory of Numbers by Leo Moser
An Introduction to the Theory of Numbers - Number Theory Text by Leo Moser - The Trillia Group
http://www.trillia.com/moser-number.html
Textbook covering following topics: compositions and partitions; arithmetic functions; distribution of primes; irrational numbers; congruences; diophantine equations; combinatorial number theory; and geometry of numbers.
A mathematics textbook in Number Theory for advanced undergraduate or beginning graduate students; a n e-book in PDF format without DRM
trillia, theory, conditions, numbers, accept, introduction, version, problems, students, charge, lic ense, subject, number, course, analysis, letter, whether, acrobat, download, format, reader, purchas e, elementary, graduate, include, purchased, phrase, mathematical, portable, trademarks, member, dow nload, choice, format, document, participates, project, widernet, library, initiative, digital, egra nary, another, immediately, program, reading, little, latest, donations, licensed, donations
trillia.com - rank der domain 786029 (320246 in US)
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Square-free Gaps
Square-free Gaps
http://www.marmet.org/louis/sqfgap/index.html
Algorithm and source code for the calculation of square-free numbers and gaps.
Algorithm for the calculation of square-free numbers and gaps
squarefree, numbers, gaps, square, free, squarefull, first occurrence, prime, numbers, integers, Era tosthenes, sieve, algorithm, computation
square, number, squared, numbers, marmet, primes, length, algorithm, following, smallest, np2min, be rnier, friedman, dorsey, mcgregor, arrays, improvement, wetherell, example, values, starting, elemen ts, factors, sequence, program, between, required, therefore, faster, consecutive, probability, obta ined, search, larger, tested, suggested, factor, increased, increasing, having, average, divides, st arts, series, eratosthenes, method, calculate, necessary, squarefree, joseph, repeated
(SLD : marmet.org)
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Active Elementary Number Theory
Active Elementary Number Theory: n*n + 1 and cid-Pairs
http://www.hbmeyer.de/taupaeng.htm
Interactive (Javascript) expression of a number as a sum of two squares.
transformations of relatively prime pairs, representation as sum of two squares, divisors of n*n+1
coprime pair; number theory, sum of squares, factors of n*n+1, prime number, pythagorean triples, fa ctorization
theory, active, elementary, number
(SLD : hbmeyer.de)
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The Somos Sequence Site
Jim Propp's Somos Sequence Site
http://faculty.uml.edu/jpropp/somos.html
Web resources for information on Somos sequences and related topics such as elliptic divisibility se quences.
sequences, elliptic, articles, condensation, michael, sequence, curves, combinatorial, fractions, ar ticle, divisibility, elliptic, continued, between, patterns, tilings, sequences, sequence, robbins, interpretations, intelligencer, combinatorics, elkies, theory, mathematical, explanation, functions, recurrences, general, seminar, laurentness, application, hirota, antifrieze, domino, dodgson, andre w, recurrence, algebraic, combinatorics, phenomenon, entitled, information, relating, problem, sugge stions, progress, written, exposition, number, preprint
uml.edu - rank der domain 67673 (25886 in US)
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L-Functions
L-Functions
http://www.lfunctions.org/start/start.html
Classified by degree, then by level, then by eigenvalue, then by root number.
No Title
start
functions, information, dirichlet, selberg, function, character, degree, modulo, eigenvalue, degree, number, unique, associated, modular, classified, conrey, weight, symbol, legendre, riemann, defined , newform, holomorphic, corresponding, element, examples, satisfy, intended, giving, qualitative, qu antitative, properties, intend, interested, functions, starting, features, specific, functional, axi oms, series, equation, satisfies, uniquely, written, equation, functional, reader, computation, poss ible, coefficients
(SLD : lfunctions.org)
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Australian Numerals Revealed
Australian Numerals supplement Hindu Arabic Numerals and replace Roman Numerals
http://australiannumerals.org/AustralianNumeralsExplained.html
Proposes a new way of expressing numbers which makes mathematics easier to learn and quicker to perf orm.
Australian Numerals replace Hindu Arabic and Roman Numerals as an easier way to do mathematics
numerals, australian, tables, pigits, digits, arabic, simply, mathematics, becomes, numbers, column, negative, children, multiplication, convert, example, without, positive, integers, crabtree, lesson s, number, jonathan, written, become, points, minutes, little, easier, knowledge, experience, simple , arithmetic, higher, product, numeral, multiply, rotated, addition, register, necessary, contact, p rivacy, people, taught, beyond, longer, convert, remember, easily, multiply
(SLD : australiannumerals.org)
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