112223

Properties

Appears in sequences

• Sorted list of strings that can be obtained by starting with 123 and repeatedly doubling any substring in place.at n=16A135475
• Prime numbers containing the string 222.at n=23A166580
• Primes p such that each of the numbers p^k for k=1..5 has exactly two 1s in its decimal representation.at n=8A175964
• Primes p such that each of the decimal numbers p^k for k=1..6 has exactly two 1s.at n=1A175972
• Smallest prime p such that the sum of the squares of the digits of p equals n (or 0 if no such prime exists).at n=22A187553
• Primes p with an even number of digits such that each digit in the second half of p is larger by 1 than the corresponding digit in the first half.at n=16A241212
• Prime p such that sqrt(p+2) is semiprime (A001358).at n=31A257933
• Primes formed by concatenating n and 2n-1.at n=34A309851
• Prime numbers with monotonically increasing digits, increasing by only 0 or 1.at n=25A378774
• Prime numbersat n=10639