20747

Properties

Appears in sequences

• Recursive prime generating sequence.at n=59A039726
• Numerators of continued fraction convergents to sqrt(482).at n=4A041920
• Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5.at n=32A075585
• a(n) is the smallest prime of the form n^k + n - 1 with k >= 2.at n=10A078179
• 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=25A078847
• Primes produced by repeated application of the formula p -> (6p +- 5) starting at the prime 2.at n=21A086321
• Numbers k such that k*4^k-1 is prime.at n=16A086661
• Primes p such that p-3 and p+3 are divisible by a cube.at n=20A089201
• Smallest prime p such that the maximum run length of consecutive positive quadratic residues modulo p is n.at n=22A097159
• Lesser of a twin-prime pair where both are expressible as the sum of two triangular numbers.at n=40A118638
• Smallest prime p such that the maximum run length of consecutive quadratic nonresidues modulo p is n.at n=23A129201
• Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=13A135844
• Prime numbers p not of the form 10*k+1 for which the quintic polynomial x^5-x-1 modulus p is factorizable into five binomials.at n=9A135845
• Primes of the form k^2 + 11.at n=11A138362
• Primes of the form 41+(n+n^2)/2=41+A000217(n).at n=25A139219
• The smallest prime p that makes the pair p+/-6n both primes while no other pair of p+/-6k+6*n, 0<k<n both primes.at n=43A139602
• Primes congruent to 38 mod 59.at n=38A142765
• Primes p such that (p, p+2, p+6, p+12) is a prime quadruple.at n=31A172454
• a(n) = ceiling(A107293(n)/2).at n=34A173693
• Primes which are the sum of three distinct positive cubes in two or more distinct ways.at n=16A180088