38561
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Quartan primes: primes of the form x^4 + y^4, x > 0, y > 0.at n=21A002645
- Primes that remain prime through 4 iterations of function f(x) = 9x + 10.at n=21A023327
- Primes that remain prime through 5 iterations of function f(x) = 9x + 10.at n=5A023355
- a(1) = 1, a(n) = prime equal to n-th partial sum of A073852.at n=15A073854
- Records in A079381.at n=9A079382
- Primes prime(k) such that prime(k)*k falls between twin primes.at n=25A080174
- Primes of the form x^4 + y^4 with x^2 + y^2 and x+y also prime.at n=11A100268
- a(n) is the minimal prime of the form 4k+1 for which s=A008784(n) is the minimal positive integer such that s*a(n)-floor(sqrt(s*a(n)))^2 is a square.at n=9A145215
- Primes of the form 1+(n+2)^2+(n+4)^4, n>=0.at n=2A162003
- Primes of the form 13^k + 10^k.at n=3A176936
- Number of n X 4 0..3 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=2A224169
- T(n,k) = number of n X k 0..3 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=17A224173
- Number of 3 X n 0..3 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=3A224174
- Smallest of four consecutive primes whose sum is a triangular number.at n=15A226154
- a(n) is a prime number that cannot be the center term of a length 3 arithmetic progression prime group with a common difference whose number of runs in binary expansion is 2.at n=35A231387
- Primes of form n^2 + 10000.at n=32A256838
- Primes of form n^2 + 28561.at n=16A256841
- a(n) = 24*n^2 + 52*n + 29.at n=39A258721
- Prime numbersat n=4062