37061
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 12.at n=34A031600
- a(n) = floor(e*(n+3)!) - (n+3)*(n+2)*(n+1)*n*floor(e*(n-1)!).at n=30A080770
- Primes of the form x^3+x^2+x+2.at n=11A088547
- Primes that do not divide any term of the Lucas 4-step sequence A073817.at n=33A106300
- Primes p such that q-p = 26, where q is the next prime after p.at n=24A124594
- Primes of the form 34k+1 generated recursively. Initial prime is 103. General term is a(n) = Min {p is prime; p divides (R^17 - 1)/(R - 1); p == 1 (mod 17)}, where Q is the product of previous terms in the sequence and R = 17*Q.at n=5A125038
- Primes p such that 42*p-1, 42*p+1 and 48*p-1, 48*p+1 are twin primes.at n=12A138697
- Row sums of the triangle in A162371.at n=41A162373
- Primes of the form prime(i)*prime(i+1) + prime(i+2) + 1.at n=15A180945
- a(n) = n^3 - 2*n^2 + 2*n + 1.at n=33A188947
- Primes that are the sum of the squares of three integers that form an arithmetic sequence with difference 7.at n=11A227994
- Number of (n+2)X(4+2) 0..1 arrays with each row and column divisible by 5, read as a binary number with top and left being the most significant bits.at n=4A262270
- Number of (n+2)X(5+2) 0..1 arrays with each row and column divisible by 5, read as a binary number with top and left being the most significant bits.at n=3A262271
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row and column divisible by 5, read as a binary number with top and left being the most significant bits.at n=31A262274
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row and column divisible by 5, read as a binary number with top and left being the most significant bits.at n=32A262274
- Primes p such that neither g-1 nor g+1 is prime, where g is the gap from p to the next prime.at n=37A355485
- Number of integer partitions of n whose parts have weakly decreasing numbers of prime factors (A001222).at n=45A358909
- Prime numbersat n=3931