43451

Properties

Appears in sequences

• Primes p from A031924 such that A052180(primepi(p)) = 19.at n=31A052235
• Primes arising in A053782.at n=34A053872
• First prime starting a chain of exactly n consecutive primes congruent to 5 modulo 6.at n=6A055626
• Initial prime in first sequence of n primes congruent to 2 modulo 3.at n=6A057621
• Initial prime in first sequence of n consecutive primes congruent to 5 modulo 6.at n=6A057622
• a(1) = 11, a(2) = 19, a(3) = 89, a(4) = 151; for n >= 5, a(n) = sqrt(a(n-4)^2 + 60*a(n-2)^2 + 4*a(n-2)*sqrt(210 + 15*a(n-4)^2)).at n=8A103201
• Number of decimal digits in the numerator of the 10^n-th harmonic number.at n=5A114467
• Number of free hexagonal polygons of symmetry class D_(2h) and area n.at n=33A121211
• y-values in the solution to 15*x^2 - 14 = y^2.at n=9A199338
• Primes p congruent to 11 mod 12 such that (p - 1)/2 does not divide the numerator of the Bernoulli number B(p-1).at n=30A232040
• Primes which are sum of the first k composite numbers and such that the sum of the first k+1 composites is also prime.at n=8A234847
• Eighth prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=32A238680
• Indices of record values in A266948: least prime p such that p-2 and 6n-p are also prime.at n=15A266950
• Signed recurrence over enriched r-trees: a(n) = 2 * (-1)^n + Sum_y Product_{i in y} a(y) where the sum is over all integer partitions of n - 1.at n=35A301469
• a(n) = prime(A391796(n)).at n=6A392104
• Prime numbersat n=4530