Class information for:
Level 1: CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME

Basic class information

Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
368 3       JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 35230
1755 2             ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//DEDEKIND SUMS 6790
24238 1                   CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME 342

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CARMICHAEL NUMBERS authKW 2148131 8% 90% 26
2 PRIMALITY TESTING authKW 1370998 8% 55% 27
3 PSEUDOPRIME authKW 916111 4% 76% 13
4 STRONG PSEUDOPRIMES authKW 829384 3% 100% 9
5 RABIN MILLER TEST authKW 460769 1% 100% 5
6 PRIMALITY PROVING authKW 294890 1% 80% 4
7 BIQUADRATIC RESIDUE CHARACTERS authKW 276461 1% 100% 3
8 BRAHMAGUPTA BHASKARA BB EQUATION authKW 276461 1% 100% 3
9 CUBIC RESIDUE CHARACTERS authKW 276461 1% 100% 3
10 KORSELTS CRITERION authKW 276461 1% 100% 3

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 3141 38% 0% 131
2 Mathematics 2534 38% 0% 129
3 Computer Science, Theory & Methods 1945 21% 0% 72
4 Computer Science, Information Systems 155 6% 0% 21
5 Computer Science, Software Engineering 99 4% 0% 15
6 Computer Science, Hardware & Architecture 75 3% 0% 10
7 Philosophy 45 2% 0% 7
8 History & Philosophy of Science 32 1% 0% 4
9 Engineering, Electrical & Electronic 15 7% 0% 23
10 Logic 4 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ENGN ELECT ELE ENGN MEGURO KU 92154 0% 100% 1
2 INFORMATLIXINRIA FUTURS 92154 0% 100% 1
3 LOGIC PHILOS SCI PHILOS LANG 92154 0% 100% 1
4 MAT PA 92154 0% 100% 1
5 STATE KEY INFORMAT SECUR 92154 0% 100% 1
6 MATEMAT PURAS LICADAS 67694 2% 12% 6
7 CHUNG CHENG UNIV 46076 0% 50% 1
8 NAGATSUTA INFORMAT PROC MIDORI KU 46076 0% 50% 1
9 ELIE CARTON NANCY 30717 0% 33% 1
10 MATEMAT PA 15357 0% 17% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATHEMATICS OF COMPUTATION 131473 22% 2% 76
2 FIBONACCI QUARTERLY 12892 4% 1% 14
3 ACTA ARITHMETICA 8106 5% 1% 17
4 INTERNATIONAL JOURNAL OF NUMBER THEORY 6056 3% 1% 9
5 PHILOSOPHIA MATHEMATICA 6048 1% 2% 3
6 JOURNAL OF CRYPTOLOGY 5133 1% 1% 5
7 JOURNAL OF NUMBER THEORY 4253 4% 0% 15
8 EXPERIMENTAL MATHEMATICS 1942 1% 1% 4
9 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY 1788 1% 0% 4
10 STRUCTURED PROGRAMMING 1770 0% 2% 1

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CARMICHAEL NUMBERS 2148131 8% 90% 26 Search CARMICHAEL+NUMBERS Search CARMICHAEL+NUMBERS
2 PRIMALITY TESTING 1370998 8% 55% 27 Search PRIMALITY+TESTING Search PRIMALITY+TESTING
3 PSEUDOPRIME 916111 4% 76% 13 Search PSEUDOPRIME Search PSEUDOPRIME
4 STRONG PSEUDOPRIMES 829384 3% 100% 9 Search STRONG+PSEUDOPRIMES Search STRONG+PSEUDOPRIMES
5 RABIN MILLER TEST 460769 1% 100% 5 Search RABIN+MILLER+TEST Search RABIN+MILLER+TEST
6 PRIMALITY PROVING 294890 1% 80% 4 Search PRIMALITY+PROVING Search PRIMALITY+PROVING
7 BIQUADRATIC RESIDUE CHARACTERS 276461 1% 100% 3 Search BIQUADRATIC+RESIDUE+CHARACTERS Search BIQUADRATIC+RESIDUE+CHARACTERS
8 BRAHMAGUPTA BHASKARA BB EQUATION 276461 1% 100% 3 Search BRAHMAGUPTA+BHASKARA+BB+EQUATION Search BRAHMAGUPTA+BHASKARA+BB+EQUATION
9 CUBIC RESIDUE CHARACTERS 276461 1% 100% 3 Search CUBIC+RESIDUE+CHARACTERS Search CUBIC+RESIDUE+CHARACTERS
10 KORSELTS CRITERION 276461 1% 100% 3 Search KORSELTS+CRITERION Search KORSELTS+CRITERION

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 1



rank cluster_id2 link
1 20654 ARTINS CONJECTURE//CHEBOTAREV DENSITY THEOREM//BARBAN DAVENPORT HALBERSTAM THEOREM
2 33554 COGALOIS EXTENSION//G COGALOIS EXTENSION//KNESER EXTENSION
3 18944 BEURLING GENERALIZED PRIMES//CHEBYSHEVS BIAS//BEURLING GENERALIZED NUMBERS
4 29241 COVERING SYSTEMS//COVERING CONGRUENCES//SUMS OF PRIME POWERS
5 18237 POLYNOMIAL FACTORIZATION//COMBINATORICS ON POLYNOMIALS//ABSOLUTE IRREDUCIBILITY
6 30223 PERFECT NUMBER//ODD PERFECT NUMBERS//SOCIABLE NUMBERS
7 1352 SCALAR MULTIPLICATION//ELLIPTIC CURVE CRYPTOGRAPHY//ELLIPTIC CURVE CRYPTOSYSTEM
8 9893 SHIFTED PRIMES//ACTA ARITHMETICA//MULTIPLICATIVE FUNCTIONS
9 29035 QUARTIC JACOBI SYMBOL//CUBIC CONGRUENCE//OCTIC RESIDUE
10 33389 ITERATION DIGRAPH//CARMICHAEL LAMBDA FUNCTION//CUBIC MAPPING GRAPH

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