In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands...

repdigits are palindromic numbers and are multiples of repunits. Other well-known repdigits include the repunit primes and in particular the Mersenne primes (which...

This is a list of repunit primes in various bases. Base-2 repunit primes are called Mersenne primes. The first few base-3 repunit primes are 13, 1093...

11111111111111111111111, ... (sequence A004022 in the OEIS). These primes are called repunit primes. Another example is when we take b = −12, we get n values of: 2...

199933, 1111111111111111111, 11111111111111111111111 (OEIS: A016114) All repunit primes are circular. A cluster prime is a prime p such that every even...

faulty. Repunits are integers that are represented with only the digit 1. For example, 1111 (one thousand, one hundred and eleven) is a repunit. Repdigits...

641, 2137, 3011, 268207, ... (sequence A001562 in the OEIS). See Repunit#Repunit primes for the list of the generalized Wagstaff primes base b {\displaystyle...

squaring the square). 111 is R 3 {\displaystyle R_{3}} or the second repunit in decimal, a number like 11, 111, or 1111 that consists of repeated units...

primes, but later they were also called absolute primes. In base 2, only repunits can be permutable primes, because any 0 permuted to the ones place results...

051 = fifth Keith prime 1,089,270 = harmonic divisor number 1,111,111 = repunit 1,112,083 = logarithmic number 1,129,30832 + 1 is prime 1,136,689 = Pell...

divisible by the sum of its digits, making it a Harshad number. The smallest repunit probable prime in base 152 was found in June 2015, it has 589570 digits...

Sierpinski problem 55555 = repdigit 55860 = harmonic divisor number 55987 = repunit prime in base 6 56011 = Wedderburn-Etherington number 56092 = the number...

Eisenstein integers. 271 is the largest prime factor of the five-digit repunit 11111, and the largest prime number for which the decimal period of its...

in decimal R 19 {\displaystyle R_{19}} is also the second to be a prime repunit (after R 2 {\displaystyle R_{2}} ), followed by R 23 {\displaystyle R_{23}}...

2002 TK102 Repeated 1 1 Ceres 11 Parthenope 111 Ate 1111 Reinmuthia 11111 Repunit (111111) 2001 VO84 Repeated 2 2 Pallas 22 Kalliope 222 Lucia 2222 Lermontov...

is a square (11 times 11) the sum of the powers of 3 from 0 to 4, so a repunit in ternary. Furthermore, 121 is the only square of the form 1 + p + p 2...

number. 317 is the exponent (and number of ones) in the fourth base-10 repunit prime. 319 = 11 × 29. 319 is the sum of three consecutive primes (103 +...

number of partially ordered set with 12 unlabeled elements 1,111,111,111 : repunit, also a special number relating to the passing of Unix time. 1,129,760...

with index 2. a palindromic number in bases 7 (3137) and 12 (11112). a repunit in base 12, so it is a unique prime in the same base. a prime whose digits...

concept, professional mathematicians generally are not. Like the concept of repunits and palindromic numbers, the concept of strobogrammatic numbers is base-dependent...

integer ≥ 2 for z, this sum becomes a base z repunit. Thus a necessary (but not sufficient) condition for a repunit to be prime is that its length be prime...

from all known cycles of circular primes (The single-digit primes and repunits are the only members of their respective cycles) is 2, 3, 5, 7, R2, 13...

Washington 2014, p. 41. For instance see Guy 2013, A3 Mersenne primes. Repunits. Fermat numbers. Primes of shape ⁠ k ⋅ 2 n + 1 {\displaystyle k\cdot 2^{n}+1}...

30537 = Riordan number 30694 = open meandric number 30941 = first base 13 repunit prime 31116 = octahedral number 31185 = number of partitions of 39 31337...

Automorphic Trimorphic Digit-composition related Palindromic Pandigital Repdigit Repunit Self-descriptive Smarandache–Wellin Undulating Digit-permutation related...

413,504 = 147 107,890,609 = Wedderburn-Etherington number 111,111,111 = repunit, square root of 12345678987654321 111,111,113 = Chen prime, Sophie Germain...

with 10,000 or more decimal digits.[citation needed] He is the author of Repunits and Repetends. Between 1940 and 1973 Yates worked a number of different...

92691}. Otherwise, R 19 {\displaystyle R_{19}} is the second base-10 repunit prime, short for the number 1111111111111111111 {\displaystyle 1111111111111111111}...

1038232 = 22093 = 476 11,019,960,576 = 1049762 = 3244 = 188 11,111,111,111 = repunit 11,123,060,678 = number of free 21-ominoes 11,874,568,703 = number of partitions...

prime and a star prime. It is also the smallest Wieferich prime. 1093 is a repunit prime in base 3 because: 1093 = 1111111 3 = 3 6 + 3 5 + 3 4 + 3 3 + 3 2...