331777
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = n^4 + 1.at n=24A002523
- Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.at n=35A005109
- a(n) = (n!)^n+1.at n=4A036739
- Primes of the form k^4 + 1.at n=6A037896
- a(n) = next prime after n^4.at n=23A053786
- Primes of form 1+(2^a)*(3^b), a>0, b>0.at n=29A058383
- Primes arising in A084724. a(n) = N-th partial product of A084724 +1.at n=5A084725
- Largest prime factor of n^4 + 1.at n=23A096172
- Primes of the form a^5 + b^4 with a>0.at n=23A100274
- Numbers n such that sigma(n) = 2n - 3*phi(phi(n)).at n=30A110074
- Divisorial primes: Primes p such that p = 1 + Product_{d|n} d for some n (ordered by n).at n=5A118370
- Primes associated with A127435.at n=29A127436
- Primes of the form 9*n^2 + 1.at n=25A156226
- Primes of the form m^2+1 such that m^2-7 = prevprime(m^2) (= A007917(m^2)).at n=9A157935
- Primes p such that the equation x^64 == -2 (mod p) has a solution, and ord_p(-2) is even.at n=15A163186
- The smallest prime p such that tau(p-1) + tau(p+1) = prime(n), or 0 if no such prime exists; where tau(k) is the number of divisors of k.at n=20A189536
- Primes of the form 3n^3+1.at n=9A201112
- Generalized cuban primes (A007645) which are also Class 1- (or Pierpont) primes (A005109).at n=30A217035
- Primes whose base-8 representation also is the base-3 representation of a prime.at n=23A235471
- Primes of the form (p + q)^2 + 1, where p and q are consecutive primes.at n=12A244095