Repunit
Numbers that contain only the digit 1 / From Wikipedia, the free encyclopedia
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. Beiler in his book Recreations in the Theory of Numbers.[note 1]
Quick Facts No. of known terms, Conjectured no. of terms ...
No. of known terms | 11 |
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Conjectured no. of terms | Infinite |
First terms | 11, 1111111111111111111, 11111111111111111111111 |
Largest known term | (108177207−1)/9 |
OEIS index |
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A repunit prime is a repunit that is also a prime number. Primes that are repunits in base-2 are Mersenne primes. As of May 2023, the largest known prime number 282,589,933 − 1, the largest probable prime R8177207 and the largest elliptic curve primality-proven prime R86453 are all repunits in various bases.