25577

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 67.at n=28A020406
• G.f.: Sum_{n >= 1} x^n/(1-x^n)^5.at n=25A073570
• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <= 6 (i.e., when d = 2, 4 or 6) and forming pattern = [2, 4, 6]; short notation = [246] d-pattern.at n=28A078847
• Twin primes whose digits are primes.at n=10A087367
• Primes of the form 1+2*n+3*n^2.at n=13A122430
• Primes with prime number of only prime digits (i.e., 2, 3, 5, 7).at n=38A124888
• a(n) = 58*n^2 - 1.at n=20A158668
• Primes p such that (p, p+2, p+6, p+12) is a prime quadruple.at n=36A172454
• Prime numbers p such that x^2 + x + p produces primes for x = 0..3 but not x = 4.at n=17A210362
• Primes that contain only the digits (2, 5, 7).at n=21A214705
• Initial members of prime quadruples (n, n+2, n+24, n+26).at n=23A245568
• Primes p such that (p^2+2)/3 and (p^4+2)/3 are prime.at n=23A256811
• Twin primes both of which are the sum of three positive cubes.at n=18A272376
• Number of n X 5 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=8A281202
• Prime numbers p such that 3*p - 2 is the square of a prime number.at n=19A289135
• Triangle read by rows: T(n,k) is the number of n-digit numbers having a k-digit greatest prime factor.at n=13A294952
• Number of n X 3 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1 neighboring 1.at n=8A296315
• T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1 neighboring 1.at n=57A296320
• Number of nX3 0..1 arrays with every element equal to 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.at n=19A298050
• Odd numbers k such that the four consecutive odd numbers starting with k have a total of 5 prime factors counting multiplicity.at n=37A328489