23017

Properties

Appears in sequences

• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 88 ones.at n=30A031856
• Fifth term of strong prime sextets: p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m).at n=5A054817
• 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 d-pattern=[4, 6, 2]; short d-string notation of pattern = [462].at n=30A078851
• A variation on Flavius's sieves (A000960, A099207): Start with the Chen primes; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=39A118500
• Primes p1 such that p1^2+p2^3=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=22A138715
• Primes congruent to 20 mod 61.at n=36A142818
• Primes p such that p, p+4, p+10, p+22, p+24, p+42 are all primes.at n=11A144594
• Positive numbers y such that y^2 is of the form x^2+(x+953)^2 with integer x.at n=6A160212
• Smallest m such that the period of the continued fraction of sqrt(m) is A215485(n); records of A013646.at n=26A215508
• Number of 5 X n -1,1 arrays such that the sum over i=1..5,j=1..n of i*x(i,j) is zero and rows are nondecreasing (ways to put n thrusters pointing east or west at each of 5 positions 1..n distance from the hinge of a south-pointing gate without turning the gate).at n=17A225312
• Primes of the form 9x^2 + 6xy + 1849y^2.at n=48A244019
• Initial prime of 4 primes in arithmetic progression with difference 12.at n=45A248085
• Primes p for which there are exactly as many primes in the range [p^2, p*nextprime(p)] as there are in the range [p*nextprime(p), nextprime(p)^2], where nextprime(p) gives the next prime after prime p.at n=30A256472
• Primes p such that 2*p + 1 is abundant.at n=26A267476
• Binomial(n,4) - A290447(n).at n=41A290461
• Numbers k such that 483*2^k+1 is prime.at n=38A320339
• Smaller term p1 of the first of two consecutive cousin prime pairs (p1,p1+4) and (p2,p2+4) such that the distance (p2-p1) is a square.at n=22A339084
• Primes which, when added to their reversals, produce palindromic primes.at n=25A342681
• a(n) is the least k such that the continued fraction for sqrt(k) has period prime(n).at n=45A350545
• Prime numbersat n=2567