1179649
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.at n=42A005109
- Primes of the form 9*2^n+1.at n=7A050528
- a(n) is the least prime p such that p-1 is divisible by 2^n and not by 2^(n+1).at n=17A057775
- Primes of form 1+(2^a)*(3^b), a>0, b>0.at n=36A058383
- Least prime p introducing prime-difference pattern {d, 2*d}, where d = 2*n, i.e., {p, p+2*n, p+2*n+4*n} = {p, p+2*n, p+6*n} are consecutive primes.at n=13A079011
- a(n) = 2*a(n-1) - 1 with a(0) = 10.at n=17A083705
- Numbers n such that sigma(n) = 2n - 3*phi(phi(n)).at n=37A110074
- Smallest prime of the form (k^2 * 2^n + 1).at n=12A122912
- Smallest prime of the form (k^2 * 2^n + 1).at n=14A122912
- Smallest prime of the form (k^2 * 2^n + 1).at n=16A122912
- A007318 * A131055.at n=17A131056
- a(n) = smallest prime p such that p-1 and p+1 together have n prime divisors, or a(n) = 0 if no such prime exists.at n=22A155800
- Generalized cuban primes (A007645) which are also Class 1- (or Pierpont) primes (A005109).at n=37A217035
- Sorted list of prime factors of numbers of the form 9^(2^m) + 2^(2^m) with m >= 0.at n=14A294135
- a(n) is the largest prime 2^(n-1) <= p < 2^n minimizing the Hamming weight of all primes in this interval.at n=19A333876
- Indices where A354169 is the sum of two consecutive powers of 2.at n=35A354775
- Primes p such that the odd part of p - 1 is upper-bounded by the dyadic valuation of p - 1.at n=16A361180
- Odd primes whose base-2 representation has no proper substrings that are base-2 representations of odd primes.at n=36A365518
- Prime numbersat n=91466