39901

Properties

Appears in sequences

• Sequence of 3 Pythagorean triangles, each with a leg and hypotenuse prime. The hypotenuse of each triangle is the leg of the next triangle.at n=7A048295
• Smallest prime p of two consecutive primes, p < q, such that gcd( p-1, q-1 ) = 2n.at n=13A058264
• Primes p such that q-p = 28, where q is the next prime after p.at n=31A124595
• Consider the array T(n, m) = m-th prime of the form n*i(i+1)/2 +/- 1. This sequence is the main diagonal.at n=24A125765
• Primes of the form (4*n^2-8*n-9)/3.at n=41A154616
• Primes of the form (p^2 - 1)/8 - p, where p is also a prime.at n=23A165567
• Noncomposite numbers in the northern ray of the Ulam spiral as oriented on the March 1964 cover of Scientific American.at n=17A168023
• Numbers n such that m=(n^2+1)/2, p=(m^2+1)/2 and q=(p^2+1)/2 are all prime.at n=21A188546
• Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any element at a city block distance of two, and containing the value n(n+1)/2-4.at n=4A212033
• T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any element at a city block distance of two, and containing the value n(n+1)/2-k-1.at n=25A212036
• Primes p of the form 420k + 1 for some k.at n=36A217587
• Centered 14-gonal (or tetradecagonal) primes.at n=17A264821
• Centered 25-gonal primes.at n=14A276264
• Numbers n such that both n-1 and n are nonsquares and the least positive solutions to the Pell equations x1^2 - n*y1^2 =1 and x0^2-(n-1)*y0^2 = 1 have a record for rho(n)=log(x1)/log(x0).at n=24A303604
• Number of compositions (ordered partitions) of n into distinct parts such that number of parts is odd.at n=32A332304
• Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 3.at n=27A336794
• Value of prime number D for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = 3.at n=26A336796
• Record values in A306400.at n=15A339096
• Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = -5.at n=30A341083
• Value of prime number D for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = -5.at n=29A341085