10010101
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes whose greatest digit is 1.at n=6A020449
- Smallest n-digit prime containing only digits 0 and 1, or 0 if no such prime exists.at n=7A036929
- Primes whose sum of digits is 4.at n=19A062339
- Primes using only one nonzero digit (with zero digits allowed).at n=10A069598
- Smallest n-digit prime with minimum digit sum.at n=7A069663
- Digitally balanced numbers: binary numbers which have the same number of 0's as 1's; decimal representation: A031443.at n=19A071925
- Primes consisting only of digits 0 and 1 occurring with equal frequency.at n=0A087510
- Primes whose decimal representation also represents a prime in base 2.at n=6A089971
- Concatenation for i=1 to n of A005171(i); also A118255 in base 2.at n=7A118256
- Primes that show the distribution of prime numbers using "0" for primes and "1" for nonprime numbers.at n=0A139120
- Primes made up of 0's and four 1's only.at n=3A157711
- Primes sorted on digit sums, then on the primes.at n=23A157715
- Smallest n-digit prime with only digits 0 and 1, and having least digit sum (or 0, if no such prime exists).at n=7A168586
- Primes consisting of two digits only, each digit with frequency f = 4.at n=0A173002
- Positive numbers n such that n and phi(n) contain digits 0 and 1 only.at n=8A203304
- Numbers n such that largest digit of all divisors of n is 1.at n=8A209930
- NegaFibonacci representation for -n.at n=13A215023
- Maximal prime among the base-k representations of the n-th prime, read in decimal, for k=2,3,...,10.at n=34A236174
- Prime number days: prime numbers that can be interpreted as an ISO date.at n=21A260915
- Table read by antidiagonals: T(n,k) = smallest prime p containing only digits 0 and 1 with n 0's and k 1's, or 0 if no such p exists.at n=25A261173