19373

Properties

Appears in sequences

• Smallest prime p such that there is a gap of 2n between p and previous prime.at n=19A001632
• Numbers k such that the continued fraction for sqrt(k) has period 79.at n=14A020418
• Recursive prime generating sequence.at n=58A039726
• Fifth term of weak prime quintets: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=45A054827
• 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=[6, 2,6]; short d-string notation of pattern = [626].at n=23A078854
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,2,6,4).at n=8A078959
• Numbers k such that (5^k + 2^k)/7 is prime.at n=10A082387
• Smallest prime which occurs exactly n times in the sequence A086527.at n=20A086528
• Value of C in y = x^2+7x+C such that y is prime for all x = 0 to 4.at n=25A097436
• Primes p such that p's set of distinct digits is {1,3,7,9}.at n=12A108386
• Cumulative sum of triple factorial numbers a(n) = n!!! (A007661).at n=14A114347
• Prime sums of 6 positive 5th powers.at n=36A123035
• Primes congruent to 9 mod 47.at n=39A142360
• Primes congruent to 28 mod 53.at n=39A142558
• Primes congruent to 21 mod 59.at n=37A142748
• Primes congruent to 36 mod 61.at n=34A142834
• G.f.: A(x) = F(x*G(x)) where F(x) = G(x/F(x)^2) = 1 + x*F(x)^2 is the g.f. of A000108 (Catalan) and G(x) = F(x*G(x)^2) = 1 + x*G(x)^4 is the g.f. of A002293.at n=7A153395
• a(n) is the smallest number which has in its English name the letter "n" in the n-th position beginning the count from the end.at n=39A173204
• 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=19A179234
• Primes with eight embedded primes.at n=8A179916