22193
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 55.at n=29A020394
- [ Sum{(sqrt(j+1)-sqrt(i+1))^3} ], 1 <= i < j <= n.at n=49A025223
- a(n) = Sum_{i=0..n} Sum_{j=0..n} T(i,j), T given by A026769.at n=12A026778
- a(n) = T(2*n, n+2), T given by A026998.at n=6A027001
- T(n,n+4), T given by A027960.at n=12A027964
- Primes of the form k^2 - 8.at n=35A028886
- 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 17.at n=9A031605
- Odd k for which k+2^m is composite for all m < k.at n=14A033919
- Largest prime below prime(n)^2 (A001248).at n=34A054270
- n is prime and is the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 - n_2 = n_3. (Do not allow leading zeros for nonzero n_i.)at n=22A067861
- Number of 4 X n binary arrays with a path of adjacent 1's from top row to bottom row.at n=3A069362
- Number of n X 4 binary arrays with a path of adjacent 1's from top row to bottom row.at n=3A069379
- a(n) is the smallest prime that is the first of n consecutive primes with equal digit sum.at n=2A071613
- Primes p such that p-1 and p+1 are both divisible by fourth powers.at n=14A086709
- a(n) = prevprime(A090117(n)), the largest prime previous to squares given in A090117, being such that distance of a(n) to the following prime equals 2*n.at n=17A090118
- a(n) is the largest prime before A002276(n).at n=3A099663
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 10.at n=25A109564
- Primes p such that q-p = 36, where q is the next prime after p.at n=5A134117
- Primes congruent to 50 mod 61.at n=39A142848
- Numbers n with property that n^2 starts and ends with 49.at n=7A159815