25/10/2022

## Which repunits are prime?

Repunit primes are repunits that are prime. For example, 11, 1111111111111111111, and 11111111111111111111111 (2, 19, and 23 digits). The only other known repunit primes are the ones with 317 digits: (10317-1)/9; and with 1,031 digits: (101031-1)/9.

Is 1 a repunit?

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 for repeated unit and was coined in 1966 by Albert H….Factorization of decimal repunits.

R1 = 1
R3 = 3 · 37
R4 = 11 · 101
R5 = 41 · 271
R6 = 3 · 7 · 11 · 13 · 37

How many repunit primes?

A repunit prime is a repunit (i.e., a number consisting of copies of the single digit 1) that is also a prime number. , 19, 23, 317, and 1031, 49081, 86453, 109297, 270343….Repunit Prime.

OEIS of prime -repunits
3 A028491 3, 7, 13, 71, 103, 541, 1091, 1367.
5 A004061 3, 7, 11, 13, 47, 127, 149, 181, 619.

### Is 1111111111111111111 prime?

This number is a prime.

What is Demlo number?

A demlo number is number which consist of 1, 2, 3…. n, n-1, n-2, …..1. Demlo numbers are: 1 = 1 11 * 11 = 121 111 * 111 = 12321 1111 * 1111 = 1234321. To find demlo number, first we find append n numbers which are increasing and then append numbers which are decreasing.

What is a Repdigit number?

A -repdigit is a number composed of repetition of a single digit (in a given base, generally taken as base 10 unless otherwise specified). For example, the beast number 666 is a (base-10) repdigit.

#### Is 51 a Harshad number?

ways as the sum of two harshad numbers is: 2, 4, 6, 8, 10, 51, 48, 72, 108, 126, 90, 138, 144, 120, 198, 162, 210, 216, 315, 240, 234, 306, 252, 372, 270, 546, 360, 342, 444, 414, 468, 420, 642, 450, 522, 540, 924, 612, 600, 666, 630, 888, 930, 756, 840, 882, 936, 972, 1098, 1215, 1026, 1212, 1080.

How do you get Repdigit?

Repdigit Number is a number N which has all the digits in its representation in base B equal….Approach:

1. One by one find all the digits of N in base B.
2. Compare every digit with its previous digit.
3. If any digit is not equal to the previous digit then return false.
4. Otherwise return true.

How do you say 4444?

4444 in English Words is : four thousand four hundred forty-four.

## Is 1111 divisible by any number?

The number 1111 is divisible by 1, 11, 101, 1111. For a number to be classified as a prime number, it should have exactly two factors. Since 1111 has more than two factors, i.e. 1, 11, 101, 1111, it is not a prime number.

What is the prime factor of 99999?

The prime factorization of 99,999 is 32 × 41 × 271. Since it has a total of 4 prime factors, 99,999 is a composite number.

Is 2 a happy number?

For instance, while 19 is a 10-happy prime, 91 = 13 × 7 is not prime (but is still 10-happy). All prime numbers are 2-happy and 4-happy primes, as base 2 and base 4 are happy bases.