19001

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 95.at n=13A020434
• Smallest prime with "n^2" as central digit(s).at n=30A038370
• Numerators of continued fraction convergents to sqrt(313).at n=7A041590
• Bemirps: primes that yield a different prime when turned upside down with reversals of both being two more different primes.at n=7A048895
• Least prime in A031926 (lesser of 8-twins) whose distance to the next 8-twin is 6*n.at n=41A052353
• Primes p for which the period of reciprocal = (p-1)/8.at n=30A056213
• Numbers k such that 64^k - 63^k is prime.at n=7A062630
• a(n) is the n-th prime whose decimal expansion begins with the decimal expansion of n.at n=18A077345
• Engel expansion for (positive) constant defined in A078756.at n=11A080230
• Primes p giving prime quadruples (30p+11, 30p+13, 30p+17, 30p+19).at n=12A087771
• Primes arising as the successive difference of terms of A088052. a(n) = A088052(n+1)-A088052(n).at n=13A088053
• Upper prime of a difference of 22 between consecutive primes.at n=34A098976
• Least prime p for which Mertens's function M(p) = n.at n=41A123172
• Primes of the form 10k+1 generated recursively. Initial prime is 11. General term is a(n)=Min {p is prime; p divides (R^5 - 1)/(R - 1); Mod[p,5]=1}, where Q is the product of previous terms in the sequence and R = 5Q.at n=17A124991
• Primes congruent to 27 mod 53.at n=39A142557
• Primes congruent to 3 mod 59.at n=36A142730
• Primes congruent to 30 mod 61.at n=36A142828
• Prime numbers p such that p - 1 is the fourth a-figurate number and nineteenth b-figurate number for some a and b.at n=18A144327
• Primes which become emirps when rotated by 180 degrees on a digital clock display.at n=15A145750
• Empirically good sequence of increments for shell sort algorithm.at n=6A154393