19427

Properties

Appears in sequences

• a(n) = A059333(2^n).at n=8A059360
• a(n) = number of n-digit base-3 biquams.at n=9A064686
• a(n) = floor(n^sqrt(n)).at n=13A066641
• G.f.: Sum_{n >= 1} x^n/(1-x^n)^5.at n=23A073570
• a(0)=1; a(n) = 3^n - 2^(n-1) for n >= 1.at n=9A083313
• Partial sums of A038580.at n=20A086749
• Numbers which are primes and which remain prime for three successive applications of incrementing each digit by 2 with carries ignored.at n=22A088787
• Median term of prime 5-tuples (p, p+2, p+6, p+8, p+12).at n=5A090286
• Solutions to A096509[x]=6; number of prime-powers [including primes] in the neighborhood of x with Ceiling[Log[x]] radius equals 6.at n=19A096517
• Primes occurring in exactly three prime triples (p,q,r) with p<q<r=p+6.at n=13A098423
• Primes p such that p + 2 and p^2 + 2^2 are primes.at n=32A107312
• n+p(n)+p(p(n)) is a square, where p(n) is the n-th prime.at n=10A116011
• Prime quadruples: 3rd term.at n=18A136721
• List of strictly non-palindromic twin primes {p, p+2}.at n=12A138329
• Lesser of twin primes such that both twin primes have no bases b, 1 < b < p-1, in which p is a palindrome.at n=6A138348
• Primes p such that p - 6^2, p - 6, p + 6 and p + 6^2 are also primes.at n=36A141279
• Primes congruent to 16 mod 59.at n=37A142743
• Smallest prime in the set of primes of the form x^n - y^(n-1), 1<=x, 1<=y.at n=8A161748
• Least prime p such that the n+1 numbers p + 2^k - 2, k=1..n+1, are all prime.at n=7A165235
• Monotonic ordering of nonnegative differences 3^i-4^j, for 40>= i>=0, j>=0.at n=36A192147