19073

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 67.at n=20A020406
• Convolution of natural numbers with (1, p(1), p(2), ... ), where p(k) is the k-th prime.at n=32A023538
• Total number of even parts in all partitions of n.at n=29A066898
• 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=22A078854
• Primes p equal to the sum of two successive sexy primes + 1 such that p + 6 is also prime.at n=29A104043
• Primes of the form 256n+129.at n=19A105130
• Sums of p-th to the q-th prime where p and q are twin primes.at n=32A114379
• Primes congruent to 16 mod 59.at n=35A142743
• Primes congruent to 41 mod 61.at n=36A142839
• Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1000-1111-0101 pattern in any orientation.at n=16A147182
• Primes p such that none of p-2, p-1, p+1, and p+2 is squarefree.at n=8A153215
• Primes p such that (p-1)*p*(p+1)-p-2 and (p-1)*p*(p+1)+p+2 are primes.at n=24A154942
• Positive numbers y such that y^2 is of the form x^2+(x+16807)^2 with integer x.at n=6A156713
• a(n) = 66*n^2 - 1.at n=16A158693
• a(n) = a(n-1)+a(n-2)-Floor(a(n-3)/2)-Floor(a(n-8)/2); initial terms are 0, 1, 1, 2, 3, 5, 7, 11.at n=28A173199
• Primes of the form floor(k^sqrt(Pi)).at n=39A180452
• Primes of the form 128*k + 1.at n=34A208177
• Primes of form p*q + 30, where p and q are consecutive primes.at n=13A229570
• Primes of the form 384*k + 257.at n=17A229856
• a(n) = 10^(prime(n)-1) mod prime(n)^2.at n=34A265012