22777
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that contain digits 2 and 7 only.at n=9A020459
- Numbers whose set of base-12 digits is {1,2}.at n=36A032932
- Primes in which each digit occurs in runs of at least 2.at n=5A034873
- a(n) = floor(11^n/9^n).at n=50A094997
- Primes p such that the polynomial x^5-x^4-x^3-x^2-x-1 mod p has 5 distinct zeros.at n=16A106281
- Primes in which the frequency of every digit is also prime.at n=22A113615
- Primes with prime number of only prime digits (i.e., 2, 3, 5, 7).at n=23A124888
- Primes of the form p = prime(k+1) such that prime(k) = (prime(k+3)+prime(k-1))/2.at n=21A126239
- Prime numbers p for which quintonacci quintic polynomial x^5-x^4-x^3-x^2-x-1 modulus p is completely factorizable.at n=17A135846
- Prime numbers p not of the form 10k+1 for which the quintonacci quintic polynomial x^5 - x^4 - x^3 - x^2 - x - 1 modulus p is factorizable into five binomials.at n=13A135847
- Primes p of the form 4*k+1 for which s=26 is the least positive integer such that s*p-(floor(sqrt(s*p)))^2 is a square.at n=31A145050
- Primes containing 777 as a substring.at n=4A167282
- Primes that contain only the digits (2, 3, 7).at n=31A214704
- Primes that contain only the digits (2, 5, 7).at n=20A214705
- Primes having only {2, 7, 9} as digits.at n=30A261182
- Primes having only {0, 2, 7} as digits.at n=16A261267
- Primes of the form 11*k^2-11*k+7.at n=21A267290
- G.f.: Product_{k>=1} (1 + x^k) / (1 - x^(k*(k+1))).at n=46A280424
- Primes p = x^2 + y^2 such that x - y is a cube greater than one.at n=30A282405
- Numbers with digits 2 and 7 only.at n=37A284921