47041
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes with 29 as smallest positive primitive root.at n=9A061733
- a(n) is the n-th prime of the form n*x^2+1.at n=14A128970
- Primes of the form prime(x)*prime(x+1) - (prime(x+1)-prime(x)).at n=9A140120
- a(n) = 60*n^2 + 1.at n=28A158673
- Primes of the form x^2 + 18480*y^2.at n=7A173274
- Primes of the form 5*k^2 - 4.at n=23A201786
- Primes p of the form p = 1 + 840*k for some k.at n=24A217862
- Primes p such that 4*p is greater than the greatest prime factor of p^4 -1 and p^4 + 1.at n=11A218849
- Primes p for which there are exactly as many primes in the range [p^2, p*nextprime(p)] as there are in the range [p*nextprime(p), nextprime(p)^2], where nextprime(p) gives the next prime after prime p.at n=40A256472
- Primes of form n^2 + 14641.at n=21A256839
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) + 1, where a(0) = 3, a(1) = 4, b(0) = 1, b(1) = 2, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.at n=18A295955
- a(n) is the smallest number that belongs simultaneously to the two arithmetic progressions prime(n) + m*prime(n+1) and prime(n+1) + m*prime(n+2), m >= 1, n >= 1.at n=45A319524
- Primes p such that the sum and difference of the fourth power of the sum of 4 consecutive primes starting with p and the product of those primes are both prime.at n=15A389333
- Prime numbersat n=4853