22433
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 67.at n=22A020406
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 12.at n=18A031600
- Numbers k such that k, sigma(k) and phi(k) have the same decimal digits (ignoring multiplicity).at n=37A082059
- Let a(1)=1; for n>1, a(n)=nextprime((Pi/2)*a(n-1)).at n=19A084572
- Primes p such that p - q = 24, where q is the previous prime before p; or prime numbers preceded by precisely 23 composite numbers.at n=35A126720
- Triangle, read by rows, defined by T(n,k) = T(n-1,k) + T(n,k-1) for nk>0, where T(n,0) = T(n-1,0) + T(n-1,n-1) and T(n,n) = T(n,n-1) for n>0 with T(0,0)=1.at n=41A129577
- 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=30A145050
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (0, 1, -1), (1, 0, -1), (1, 1, 1)}.at n=8A149759
- Primes having only {2, 3, 4} as digits.at n=17A199342
- Primes that are exactly between the nearest square and the nearest triangular number.at n=15A233443
- a(1) = 5; a(n) for n > 1 is the smallest prime > a(n-1) that differs from a(n-1) by a square.at n=50A246760
- Numbers n for which the digital sum contains the same distinct digits as the digital product but the digital sum is not equal to the digital product.at n=33A249335
- Primes congruent to 11 mod 111.at n=36A252893
- Primes p = x^2 + y^2 such that x - y is a cube greater than one.at n=29A282405
- Primes p such that 2*p+1 and 4*p^2+1 are also prime.at n=32A333803
- Primes with at least two identical trailing digits and at least two identical leading digits.at n=15A384015
- Primes having only {0, 2, 3, 4} as digits.at n=29A386041
- Primes having only {2, 3, 4, 5} as digits.at n=30A386139
- Primes having only {2, 3, 4, 6} as digits.at n=32A386140
- Primes having only {2, 3, 4, 8} as digits.at n=34A386142