30197
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 67.at n=35A020406
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 23.at n=34A051964
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=36A052233
- Numbers n such that (16^n + 1)/17 is a prime.at n=11A057182
- a(n) = (A085249(n) - 1)/6.at n=31A088349
- Balanced primes of order six.at n=26A096698
- Balanced primes (A090403) of index 4.at n=5A096708
- Primes from merging of 5 successive digits in decimal expansion of Catalan's constant.at n=5A104919
- Numbers k such that 10*(10^(k+1) + 10^k - 1) + 7 is prime.at n=24A123368
- Smaller member p of a pair (p,p+6) of consecutive primes in different centuries.at n=23A160370
- Primes of the form 5*x^2 - 2*y^2, where x and y are successive natural numbers.at n=15A177077
- Numbers n such that 16^n + 1 is a semiprime.at n=18A195439
- Primes having primitive roots 2, 3, 5, 7, 11, and 13.at n=26A241047
- Primes having primitive roots 2, 3, 5, 7, 11, 13, and 17.at n=10A241048
- Primes of the form k*(k+2)/3 - 3, k>2.at n=33A262203
- Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic residues mod p that are > p/2.at n=20A282040
- Primorial base emirps: prime numbers whose primorial base reversal is a different prime.at n=19A333425
- Primes p such that exactly four numbers among all circular permutations of the digits of p are prime.at n=26A344628
- Emirps p such that (p*q) mod (p+q) is also an emirp, where q is the digit reversal of p.at n=33A355651
- Prime numbersat n=3266