22093
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes for which only three iterations of 'Prime plus its digit sum equals a prime' are possible.at n=6A048525
- Primes prime(k) for which A049076(k) = 4.at n=12A049080
- Primes for which A049076 >= 4.at n=20A049090
- Coefficient of x^(-n) in expansion of continued fraction 0, x, x^2, x^3, x^4, ... .at n=59A049346
- Smallest prime factor of 1 + (product of first n primes).at n=21A051342
- Numbers k such that (61*10^k - 7)/9 is prime.at n=19A056718
- Class 7+ primes.at n=2A081635
- 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=29A145050
- 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, -1, 0), (-1, 0, -1), (-1, 0, 1), (1, 0, 0), (1, 1, 0)}.at n=8A150311
- Primes of the form 10n^2 + 3.at n=16A201710
- Number of 4-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.at n=24A209116
- Number of -2..2 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having one, three, four, five, six or eight distinct values for every i,j,k<=n.at n=7A211593
- Primes p such that floor(log(p)) + p^2 is prime.at n=14A225626
- G.f.: 1/G(0) where G(k) = 1 + (-q)^(k+1) / (1 - (-q)^(k+1)/G(k+1) ).at n=59A227310
- Prime-Indexed Primes (PIPs) k such that the sum of all PIPs <= k is a prime.at n=37A261148
- Primes p such that 2*prime(p) + 1 = prime(q) for some prime q.at n=25A261361
- Primes p such that p+2^4, p+2^6 and p+2^8 are all primes.at n=29A269257
- Primes p such that p+2^4, p+2^6, p+2^8 and p+2^10 are all primes.at n=9A269258
- Primes p such that p+2^4, p+2^6, p+2^8, p+2^10 and p+2^12 are all primes.at n=3A269259
- Numbers k such that there is no prime p and index j < k such that A002182(k) = p * A002182(j).at n=6A272606