1336337
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = n^4 + 1.at n=34A002523
- Primes of the form k^4 + 1.at n=8A037896
- Primes of the form F(i)^3 + F(j)^4, where F() are Fibonacci numbers.at n=8A046973
- a(n) = next prime after n^4.at n=33A053786
- a(n) = smallest prime which can be expressed as a sum of distinct powers of n.at n=32A077724
- Smallest prime of the form (2n)^k + 1, or 0 if no such number exists.at n=16A084712
- Prime numbers which are successors of a power of a Fibonacci number.at n=4A093428
- Primes p such that 2^j+p^j are primes for j=0,1,2,8.at n=21A094488
- Largest prime factor of n^4 + 1.at n=33A096172
- Primes of the form 8k+1 generated recursively. Initial prime is 17. General term is a(n)=Min {p is prime; p divides (2Q)^4 + 1}, where Q is the product of previous terms in the sequence.at n=1A125039
- Primes of the form 24k+17 generated recursively. Initial prime is 17. General term is a(n) = Min {p is prime; p divides (2Q)^4 + 1; p == 17 (mod 24)}, where Q is the product of previous terms in the sequence.at n=1A125041
- Primes of the form 81n^2 - 90n + 26.at n=13A144571
- Lower twin primes p1 such that p1-1 is a square.at n=30A145824
- a(n) = 6561*n^2 - 9558*n + 3482.at n=15A156773
- Primes p such that all prime factors of p-1 have exponent 4.at n=3A188717
- Primes p of form n^2 + 1 such that p+2 and p+6 are also prime.at n=11A200992
- Primitive prime factors of the cyclotomic polynomial sequence Phi(8,k) in the order in which they occur.at n=38A256145
- Primes which divide a term of A073935.at n=19A286499
- Primes of the form 2^r * 17^s + 1.at n=10A291049
- Semi-octavan primes: primes of the form x^4 + y^8.at n=32A291206