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...

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...

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...

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...

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

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...

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

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...

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...

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...

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

class number 1. 11 is the first prime repunit R 2 {\displaystyle R_{2}} in decimal (and simply, the first repunit), as well as the second unique prime...

parts of schizophrenic numbers (with odd index) is self-similar, featuring repunits. In like fashion, all even terms in this sequence starting with the square...

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}}...

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

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...

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

109,376 = automorphic number 110,880 = highly composite number 111,111 = repunit 111,777 = smallest natural number requiring 17 syllables in American English...

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...

991)\\\end{aligned}}} that precede the infinite (conjectured) sequence of prime repunits R 19 , R 23 , R 317 , R 1031 , R 49081 , … {\displaystyle R_{19},R_{23}...

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

90000 2002 TK102 Repeated 1 11 Parthenope 111 Ate 1111 Reinmuthia 11111 Repunit (111111) 2001 VO84 Repeated 2 22 Kalliope 222 Lucia 2222 Lermontov 22222...

— November 2, 1995 Kiyosato S. Otomo  · 12 km MPC · JPL 11111 Repunit 1995 WL Repunit November 16, 1995 Ōizumi T. Kobayashi KOR 5.7 km MPC · JPL 11112...

heptagonal number 1031 = exponent and number of ones for the fifth base-10 repunit prime, Sophie Germain prime, super-prime, Chen prime 1032 = sum of two...

1/281 is 28. However, in binary, it has period length 70. The generalized repunit number 281 p − 1 280 {\displaystyle {\frac {281^{p}-1}{280}}} is composite...

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 +...

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