22159
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers whose base-3 representation has exactly 10 runs.at n=4A043590
- Numbers n such that number of runs in the base 3 representation of n is congruent to 1 mod 9.at n=22A043807
- Numbers n such that number of runs in the base 3 representation of n is congruent to 0 mod 10.at n=4A043815
- a(n) is the number of n-tosses having a run of 3 or more heads for a fair coin (i.e., probability is a(n)/2^n).at n=14A050231
- Primes whose 10's complement is a square.at n=5A083004
- Numbers k such that k!*2^k - 1 is prime.at n=20A091415
- Table read by rows in which rows give coefficients (in increasing order of exponents) of a certain family of polynomials indexed by odd primes >= 5.at n=43A092030
- Primes p = prime(i) of level (1,3), i.e., such that A118534(i) = prime(i-3).at n=37A118467
- Expansion of x*(4-x)/( (2x-1)*(x^2-x-1)).at n=14A120461
- Primes p such that (2p)!! - 1 is prime.at n=9A122719
- Number of quadruples [i,j,k,l] with all entries between 1 and n such that gcd(i,j) = gcd(k,l).at n=14A124162
- Primes of the form m*(m+1)/2 + 4.at n=35A159048
- Terms of A177763 which have more than one such representation.at n=20A177766
- First differences of A261091: a(n) = A261091(n+1) - A261091(n).at n=28A261090
- Primes p such that 2*p+1 is divisible by the sum of digits of p+1.at n=35A267542
- Greatest of 4 consecutive primes with consecutive gaps 6, 4, 2.at n=27A290635
- Numbers k such that (37*10^k + 377)/9 is prime.at n=19A293852
- Number of pairs of set partitions of {1,...,n} where every block of one is a subset or superset of some block of the other.at n=6A322442
- Floor of area of quadrilateral with consecutive prime sides configured as a cyclic quadrilateral.at n=33A329950
- Prime values in A067439, in the order in which they appear.at n=50A340736