Global Information Lookup Global Information

Lychrel number information


Unsolved problem in mathematics:

Do any base-10 Lychrel numbers exist?

(more unsolved problems in mathematics)

A Lychrel number is a natural number that cannot form a palindrome through the iterative process of repeatedly reversing its digits and adding the resulting numbers. This process is sometimes called the 196-algorithm, after the most famous number associated with the process. In base ten, no Lychrel numbers have been yet proven to exist, but many, including 196, are suspected on heuristic[1] and statistical grounds. The name "Lychrel" was coined by Wade Van Landingham as a rough anagram of "Cheryl", his girlfriend's first name.[2]

  1. ^ O'Bryant, Kevin (26 December 2012). "Reply to Status of the 196 conjecture?". MathOverflow.
  2. ^ "FAQ". Archived from the original on 2006-12-01.

and 27 Related for: Lychrel number information

Request time (Page generated in 0.8176 seconds.)

Lychrel number

Last Update:

mathematics: Do any base-10 Lychrel numbers exist? (more unsolved problems in mathematics) A Lychrel number is a natural number that cannot form a palindrome...

Word Count : 2106

Palindromic number

Last Update:

000 iterations. Any number that never becomes palindromic in this way is known as a Lychrel number. On January 24, 2017, the number 1,999,291,987,030,606...

Word Count : 1965

Numerical digit

Last Update:

same when their digits are reversed. A Lychrel number is a positive integer that never yields a palindromic number when subjected to the iterative process...

Word Count : 3585

Palindrome

Last Update:

carried out and are therefore suspected of being Lychrel numbers. If a number is not a Lychrel number, it is called a "delayed palindrome" (56 has a delay...

Word Count : 4987

List of number theory topics

Last Update:

Multiplicative persistence Lychrel number Perfect digital invariant Happy number Disquisitiones Arithmeticae "On the Number of Primes Less Than a Given...

Word Count : 934

Composite number

Last Update:

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

Word Count : 848

Natural number

Last Update:

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...

Word Count : 5898

Fibonacci sequence

Last Update:

In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci...

Word Count : 12887

Happy number

Last Update:

In number theory, a happy number is a number which eventually reaches 1 when replaced by the sum of the square of each digit. For instance, 13 is a happy...

Word Count : 2267

Perfect number

Last Update:

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...

Word Count : 5016

Mersenne prime

Last Update:

mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some integer...

Word Count : 6328

Figurate number

Last Update:

polygonal number a number represented as a discrete r-dimensional regular geometric pattern of r-dimensional balls such as a polygonal number (for r =...

Word Count : 1343

Congruent number

Last Update:

In number theory, a congruent number is a positive integer that is the area of a right triangle with three rational number sides. A more general definition...

Word Count : 1911

Deficient number

Last Update:

In number theory, a deficient number or defective number is a positive integer n for which the sum of divisors of n is less than 2n. Equivalently, it...

Word Count : 534

Stirling number

Last Update:

frequently arise in combinatorics. Moreover, all three can be defined as the number of partitions of n elements into k non-empty subsets, where each subset...

Word Count : 4006

Prime number

Last Update:

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...

Word Count : 14104

Cyclic number

Last Update:

A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the...

Word Count : 1599

Quasiperfect number

Last Update:

In mathematics, a quasiperfect number is a natural number n for which the sum of all its divisors (the divisor function σ(n)) is equal to 2n + 1. Equivalently...

Word Count : 390

Triangular number

Last Update:

triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples...

Word Count : 3383

Pentagonal number

Last Update:

A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the patterns...

Word Count : 923

Harmonic divisor number

Last Update:

In mathematics, a harmonic divisor number or Ore number is a positive integer whose divisors have a harmonic mean that is an integer. The first few harmonic...

Word Count : 980

Highly composite number

Last Update:

composite number is a positive integer that has more divisors than any smaller positive integer. A related concept is that of a largely composite number, a positive...

Word Count : 1648

Lucky number

Last Update:

In number theory, a lucky number is a natural number in a set which is generated by a certain "sieve". This sieve is similar to the Sieve of Eratosthenes...

Word Count : 785

Vampire number

Last Update:

recreational mathematics, a vampire number (or true vampire number) is a composite natural number with an even number of digits, that can be factored into...

Word Count : 944

Carmichael number

Last Update:

In number theory, a Carmichael number is a composite number n {\displaystyle n} which in modular arithmetic satisfies the congruence relation: b n ≡ b...

Word Count : 3570

Multiply perfect number

Last Update:

perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number. For a given natural number k, a number n is...

Word Count : 1706

Semiprime

Last Update:

In mathematics, a semiprime is a natural number that is the product of exactly two prime numbers. The two primes in the product may equal each other, so...

Word Count : 846

PDF Search Engine © AllGlobal.net