22277
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of stacks, or planar partitions of n; also weakly unimodal compositions of n.at n=22A001523
- Numbers k such that the continued fraction for sqrt(k) has period 75.at n=21A020414
- Primes that contain digits 2 and 7 only.at n=7A020459
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 9.at n=34A031422
- Primes in which each digit occurs in runs of at least 2.at n=4A034873
- Smallest n-digit prime containing only digits 2 and 7, or 0 if no such prime exists.at n=4A036938
- Denominators of continued fraction convergents to sqrt(74).at n=13A041131
- Larger of a pair of consecutive primes having only prime digits.at n=12A082756
- Twin primes whose digits are primes.at n=8A087367
- Median term of prime 5-tuples (p, p+2, p+6, p+8, p+12).at n=7A090286
- Primes occurring in exactly three prime triples (p,q,r) with p<q<r=p+6.at n=15A098423
- Bisection of A001523.at n=11A100505
- Primes in which the frequency of every digit is also prime.at n=20A113615
- Least p=prime(k) for which A118123(k)=n.at n=29A117877
- Primes with prime number of only prime digits (i.e., 2, 3, 5, 7).at n=20A124888
- Fixed points of permutation A071661/A071662.at n=36A126312
- Primes arising in A093483.at n=23A127903
- Prime quadruples: 3rd term.at n=20A136721
- Numbers k such that k and k^2 use only the digits 2, 4, 6, 7 and 9.at n=11A137102
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0) and consisting of n steps taken from {(-1, 1), (-1, 0), (0, -1), (1, -1), (1, 1)}.at n=8A151276