102761

Properties

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 33.at n=11A031621
• Generalized Pellian with second term equal to 7.at n=12A048694
• Middle q of three consecutive primes p,q,r, such that one adjacent prime is near, the other is far and the ratio of the differences (whichever of (r-q)/(q-p) or (q-p)/(r-q) is greater than 1) sets a record.at n=15A084105
• a(n) = 6*a(n-1) - a(n-2) for n > 1; a(0) = 1, a(1) = 15.at n=6A164541
• Numbers n such that (ceiling(sqrt(n*n/2)))^2 - n*n/2 = 17/2.at n=11A175033
• a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (r-q)/(q-p) has denominator n in lowest terms.at n=29A179234
• a(n) is the smallest prime q such that (q-p)/(r-q) = n, where p<q<r are consecutive primes (or 0 if none exist).at n=29A179256
• Prime numbersat n=9835