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Introduce several famous conjectures in mathematics.
Is 78,557 the smallest Kjellbing radix (OEIS series: A076336 of OEIS)? Is 509203 the smallest Riesel number (OEIS:A 10 1036)? [Editor] Is there an odd perfect number in abc conjecture of general number theory (OEIS series: OEIS a 000396)? Is there a quasi-perfect number? Is there a strange number? Prove that 196 is a Rick number and that 10 is an isolated number (OEIS:A095739). Given any solution of n, the happy ending problem [edit] the value of Ramsey number in Ramsey theory, especially the r (5,5) value of van de Walden number [edit] the problem of Hilbert's 16 ordinary algebra Hadamard guessed whether there is a perfect rectangular box [edit] the magic square number in combinatorial mathematics (OEIS sequence A006052) through two random numbers. Among the seven unsolved problems provided by Cray Institute of Mathematics, there are six unsolved problems: complexity class P-NP problem (theoretical informatics: computational complexity), Hodge conjecture (mathematics), Riemann conjecture (mathematics), existence of Young-Mills and poor quality (quantum mechanics), existence and smoothness of Navier-Stokes (computational fluid dynamics). Behr and Svenoton-Dale Conjecture (Mathematics) [Editing] Other unsolved problems [Editing] Goldbach Conjecture about stack number and Goldbach weak conjecture about g(k) and G(k) value in Waring problem (3n+66 Corner Valley Conjecture) Number theory: prime twin prime conjectures whether there are infinite quadruple prime numbers, infinite triple prime numbers and infinite x+/kloc-. Infinite six prime numbers and infinite mersenne prime (OEIS series: OEIS a 000688, Lenstra-Pomerance-wagstaff conjecture); The equivalent problem of this problem is whether there are infinite even perfect numbers and infinite regular prime numbers, and its distribution density is whether there are infinite Karen prime numbers (OEIS:A005849). When the radix is 10, there are infinite palindrome prime numbers (OEIS:A002385). When n >: is every fermat number (OEIS:A0002 15) a composite number at 4 o'clock? Is 78,557 the smallest Kjellbing radix (OEIS series: A076336 of OEIS)? Is 509203 the smallest Riesel number (OEIS:A 10 1036)? [Editor] Is there an odd perfect number in abc conjecture of general number theory (OEIS series: OEIS a 000396)? Is there a quasi-perfect number? Is there a strange number? Prove that 196 is a Rick number and that 10 is an isolated number (OEIS:A095739). The solution of any given N and the happy ending problem [Edit] The value of Ramsey number in Ramsey theory, especially R(5, 5) Value [Edit] General Algebra Hilbert's 16 Question Adama Conjecture Whether there is a perfect cuboid [Edit] The number of combinatorial mathematical magic squares (OEIS series A006052) is the formula of the probability that two randomly selected elements generate a symmetric group Sn [Edit] The isomorphism of graph theory Erds-Gyárfás Conjecture Diagram Hadwiger, especially pc (two-dimensional grid model) Among the seven unsolved problems of the Millennium Prize set up by Cray Institute of Mathematics, there are still six unsolved topics: complexity class P-NP problem (theoretical informatics: computational complexity), Hodge conjecture (mathematics), Riemann conjecture (mathematics), existence of Yang-Mills and mass gap (quantum mechanics), existence and smoothness of Naville-Stokes (computational fluid dynamics), and Bell and Swinner. Mathematics) [Edit] Other unsolved problems [Edit] Goldbach conjecture and Goldbach weak conjecture about the number of heaps; The values of g(k) and G(k) in Waring problem; Kauraz conjecture (3n+ 1 conjecture, angular valley conjecture) and Gilbreth conjecture [edit] number theory: prime twin prime conjecture whether there are infinite quadruple prime numbers, infinite triple prime numbers, infinite x+ 1 prime numbers, infinite cousin prime numbers, infinite six prime numbers and infinite mersenne prime (OEIS series: OEIS a 000688, The equivalent problem of this problem is whether there are infinite even perfect numbers and infinite regular prime numbers, and its distribution density is whether there are infinite Karen prime numbers (OEIS:A005849). When the radix is 10, there are infinite palindrome prime numbers (OEIS:A002385). When n >: is every fermat number (OEIS:A0002 15) a composite number at 4 o'clock? Is 78,557 the smallest Kjellbing radix (OEIS series: A076336 of OEIS)? Is 509203 the smallest Riesel number (OEIS:A 10 1036)? [Editor] Is there an odd perfect number in abc conjecture of general number theory (OEIS series: OEIS a 000396)? Is there a quasi-perfect number? Is there a strange number? Prove that 196 is a Rick number and that 10 is an isolated number (OEIS:A095739). The solution of any given N and the happy ending problem [Edit] The value of Ramsey number in Ramsey theory, especially R(5, 5) Value [Edit] General Algebra Hilbert's 16 Question Adama Conjecture Whether there is a perfect cuboid [Edit] The number of combinatorial mathematical magic squares (OEIS series A006052) is the formula of the probability that two randomly selected elements generate a symmetric group Sn [Edit] Isomorphism of Graph Theory Erds-Gyárfás Conjecture Diagram Hadwiger, especially pc (two-dimensional grid model) [Edit] Among the seven unsolved problems of the Millennium Prize established by Clay Institute of Mathematics, six topics are: the existence of complexity class P to NP problem (theoretical informatics: computational complexity), Hodge conjecture (mathematics), Riemann conjecture (mathematics), Young-Mills and the acceptance of mass gap (quantum mechanics). Existence and smoothness of D-Stokes Behr and Svenoton-Dale conjecture (mathematics) [Edit] Other unsolved problems [Edit] Goldbach conjecture about the number of piles and Goldbach weak conjecture about the values of g(k) and G(k) in Waring problem, Kolazz conjecture (3n+ 1 conjecture, angular valley conjecture. Number theory: whether there are infinite four prime numbers, infinite three prime numbers, infinite x+ 1 prime numbers, infinite cousin prime numbers, infinite six prime numbers and infinite mersenne prime (OEIS series: OEIS a 000688, Lenstra-Pomerance-wagstaff conjecture); The equivalent problem of this problem is whether there are infinite even perfect numbers and infinite regular prime numbers, and its distribution density is whether there are infinite Karen prime numbers (OEIS:A005849). When the radix is 10, there are infinite palindrome prime numbers (OEIS:A002385). When n >: is every fermat number (OEIS:A0002 15) a composite number at 4 o'clock? Is 78,557 the smallest Kjellbing radix (OEIS series: A076336 of OEIS)? Is 509203 the smallest Riesel number (OEIS:A 10 1036)? [Editor] Is there an odd perfect number in abc conjecture of general number theory (OEIS series: OEIS a 000396)? Is there a quasi-perfect number? Is there a strange number? Prove that 196 is a Rick number and that 10 is an isolated number (OEIS:A095739). Any given solution of n, happy ending problem [Edit] The value of Ramsey number in Ramsey theory, especially R(5, 5) Value of Van de Walden Number [Edit] General Algebra Hilbert's 16 Question Adama Conjecture [Edit] Combinatorial Mathematical Magic Square Number (OEIS Series A006052) is the probability formula for two randomly selected elements to generate symmetric group Sn [Edit]. Isomorphism of graph theory The Hadwiger-Nelson problem of Erds-gya rfas conjecture graph about the chromatic number of a graph with unit distance is a closed expression of percolation threshold, especially pc (two-dimensional grid model) [Edit] Analysis of Schanuel conjecture Lehmer conjecture Pompeiu question whether Euler-Machelloni constant is irrational [Edit] Is group theory finite in every finite expression period group? Inverse galois problem [edit] other generalized asterisk nesting depth problem invariant subspace problem modeling angel problem black hole merger [group theory] Is every finite periodic group finite? Inverse Galois problem other generalized asterisk nesting depth problem invariant subspace problem modeling angel problem analysis Schanuel conjecture Lehmer conjecture Pompeiu problem is Euler-Macheroni constant irrational number group theory is every finite periodic group finite? Inverse Galois Problem Other Generalized Asterisk Nesting Depth Problem Invariant Subspace Problem Black Hole Merging Angle Problem Modeling Graph Theory Erds-Gyárfás Conjecture Isomorphism Problem Hadwiger-Nelson Problem A closed expression about percolation threshold is obtained, especially pc (two-dimensional grid model) analyzes whether Schanuel Conjecture Lehmer Conjecture Pompeiu constant is unreasonable.