22613
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 23.at n=29A051964
- a(n) gives least prime for which the n-th prime is the least prime which is not a primitive root of a(n) (see A060084), or 0 if the n-th prime never occurs in A060084.at n=8A060085
- a(n) = (A085249(n) - 1)/6.at n=26A088349
- Primes of the form 256 k + 85.at n=21A127593
- Primes arising in A093483.at n=27A127903
- Primes p such that the left prime neighbors p1, p2 of p as well as the right prime neighbors q1, q2 of p form twin prime pairs and the sum p1 + p2 + p + q1 + q2 is also prime.at n=20A138396
- Primes p = prime(k) of form 13//r, s//13 or t//13//u and sod(p) = sod(k).at n=22A169645
- The Riemann primes of the psi type and index 2.at n=44A197186
- G.f. satisfies: A(x) = x + A( x*A(x)/(1 - x*A(x)) ).at n=12A210839
- Increasing sequence of primes p such that all of 2,3,5,...,prime(n) are primitive roots mod p.at n=7A213052
- Primes formed by inserting a semiprime between the semiprime's ordered factors.at n=2A229480
- Primes having primitive roots 2, 3, 5, 7, 11, and 13.at n=20A241047
- Primes having primitive roots 2, 3, 5, 7, 11, 13, and 17.at n=7A241048
- 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=52A246760
- Difference between A002110(n) and the largest semiprime b*c < A002110(n) where b is prime(n+1).at n=40A283425
- Primes p such that (p mod s) and (p mod t) are consecutive primes, where s is the sum of the digits of p and t is the product of the digits of p.at n=24A344127
- Indices of the primes that occur in A104589.at n=7A355967
- a(n) is the number of multisets of n decimal digits where the sum of the digits equals the product of the prime digits.at n=26A384445
- Prime numbersat n=2525