In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b {\displaystyle b} whose...

Zuckerman number 625 = 252 = 54, sum of seven consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103), centered octagonal number, 1-automorphic number, Friedman...

a palindromic number in bases 5 (3235), 10 (8810), 21 (4421), and 43 (2243). a repdigit in bases 10, 21 and 43. a 2-automorphic number. the smallest positive...

Look up automorphic or automorphism in Wiktionary, the free dictionary. Automorphic may refer to Automorphic number, in mathematics Automorphic form, in...

18492 = 434 3,426,576 = number of free 15-ominoes 3,524,578 = Fibonacci number, Markov number 3,554,688 = 2-automorphic number 3,626,149 = Wedderburn–Etherington...

In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector...

210,295,326 = Fine number 211,016,256 = number of primitive polynomials of degree 33 over GF(2) 212,890,625 = 1-automorphic number 214,358,881 = 146412...

9. 25 is a centered octagonal number, a centered square number, a centered octahedral number, and an automorphic number. 25 percent (%) is equal to ⁠1/4⁠...

composite numbers (76,64,63,1,0) to the Prime in the 63-aliquot tree. an automorphic number in base 10. It is one of two 2-digit numbers whose square, 5,776,...

harmonic divisor number 108,968 = number of signed trees with 11 nodes 109,376 = automorphic number 110,880 = 30th highly composite number 111,111 = repunit...

pentagonal number, 1-automorphic number, nontotient, refactorable number. 377 = 13 × 29, Fibonacci number, a centered octahedral number, a Lucas and Fibonacci...

625 = 1-automorphic number 12,960,000 = 36002 = 604 = (3·4·5)4, Plato's "nuptial number" (Republic VIII; see regular number) 12,988,816 = number of different...

program is a set of conjectures about connections between number theory, the theory of automorphic forms, and geometry. It was proposed by Robert Langlands (1967...

1-automorphic number 1,801,088,541 = 217 1,804,229,351 = 715 1,808,141,741 : number of partitions of 280 into divisors of 280 1,808,676,326 : number of...

Sophie Germain prime 9376 – 1-automorphic number 9397 – balanced prime 9403 – super-prime 9409 = 972, centered octagonal number 9419 – Sophie Germain prime...

Zeisel number 54688 = 2-automorphic number 54748 = narcissistic number 54872 = 383, palindromic in base 9 (832389) 54901 = chiliagonal number 55296 =...

= 1-automorphic number 18,348,340,127 = logarithmic number. 18,457,556,052 = 28th Pell number. 18,632,325,319 = 33rd Wedderburn–Etherington number. 19...

centered heptagonal number 4679 – safe prime 4680 – largely composite number 4681 – eighth super-Poulet number 4688 – 2-automorphic number 4689 – sum of divisors...

the only five-digit automorphic number: 906252 = 8212890625 91,125 = 453 91,144 = Fine number[clarification needed] 92,205 = number of 23-bead necklaces...

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that...

Arithmetic dynamics Automorphic number Dudeney number Factorion Happy number Kaprekar's constant Meertens number Narcissistic number Perfect digit-to-digit...

month, the number of pairs of rabbits is equal to the number of mature pairs (that is, the number of pairs in month n – 2) plus the number of pairs alive...

forms (and, more generally, automorphic forms) also occupies an increasingly central place in the toolbox of analytic number theory. Analysis is the branch...

1-automorphic number 956,722,026,041 = 59th Fibonacci number. 999,999,999,989 = largest 12-digit prime number 999,999,999,999 = largest 12-digit number...

In mathematics, an automorphic L-function is a function L(s,π,r) of a complex variable s, associated to an automorphic representation π of a reductive...

the number 1 differently than larger numbers, sometimes even not as a number at all. Euclid, for example, defined a unit first and then a number as a...

A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly it is a positive integer that has...

In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number...

introduced by Petersson (1930), is a generalization to other modular forms or automorphic forms. The Riemann zeta function and the Dirichlet L-function satisfy...

theta function an automorphic form, which means that it transforms in a specific way. Certain identities hold for all automorphic forms. An example is...