22222223

Properties

Appears in sequences

• Primes that contain digits 2 and 3 only.at n=31A020458
• Smallest n-digit prime containing only digits 2 and 3.at n=7A036937
• Smallest prime containing exactly n 2's.at n=7A037057
• Smallest prime beginning with exactly n 2's.at n=7A065585
• Smallest prime starting with at least n 2s.at n=6A068103
• Smallest prime starting with at least n 2s.at n=7A068103
• Smallest prime which is a concatenation of n primes.at n=7A069837
• Jacobsthal sequence (A001045) as represented in base 4.at n=17A081857
• Smallest prime == 1 (mod n-th unary number U(n) = (10^n-1)/9).at n=7A083808
• Primes arising in A087604, or 0 if A087604(n) = 0.at n=6A087609
• Primes of the form identical digits followed by a 3.at n=16A090146
• Concatenation of n 2's followed by 3.at n=6A091628
• Expansion of g.f. (1-8*x)/((1-x)*(1-10*x)).at n=8A093135
• Primes of the form 20*R_k + 3, where R_k is the repunit (A002275) of length k.at n=3A093162
• Primes of the form 1 + repdigit. Primes whose totient is a repdigit.at n=8A096505
• a(n) is the least prime following A002276(n) repdigits.at n=8A099656
• Near-repdigit primes with at least two 2's as the repeated digit.at n=5A105982
• Primes whose digits do not appear in two previous terms.at n=38A107798
• Primes such that the outer 2 digits are n and n+1 and all inner digits are 2, where 0 < n < 9.at n=3A108819
• Primes whose decimal expansion consists of a string of 2's followed by a string of 3's.at n=8A139067