19543

Properties

Appears in sequences

• (n,3,2) difference families over Z_n.at n=18A011992
• Diagonal sum of left-justified array T given by A027023.at n=27A027037
• Primes of the form k^2 + prime(k) + 1.at n=11A063461
• Primes p such that 6p + 1 and (p-1)/6 are primes.at n=32A085957
• Index of the first occurrence of A019565(2n-1) in sequence A103790.at n=28A103791
• Primes that do not divide any term of the Lucas 4-step sequence A073817.at n=18A106300
• Primes congruent to 23 mod 61.at n=37A142821
• a(n) = 29 + 73*n + 37*n^2.at n=22A145980
• Primes p such that p*floor(p/2) - 4 and p*floor(p/2) + 4 are prime numbers.at n=27A164622
• Primes p dividing every A167859(m) from m=(p-1)/2 to m=(p-1).at n=25A167860
• Slowest increasing sequence of odd primes such that the partial sums of the sequence from the second on are perfect powers.at n=9A174722
• Numbers k for which 6k+1, 24k+5, 432k^2+72k-1, and 432k^2+90k-1 are all prime.at n=23A175513
• Slowest increasing sequence of odd primes such that the partial sums of the sequence from the second on are perfect powers.at n=8A176578
• Numbers k such that there are 14 primes between 100*k and 100*k + 99.at n=36A186406
• a(n) = largest Ramanujan prime R_k in A104272 that is <= A002386(n).at n=12A214756
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 377", based on the 5-celled von Neumann neighborhood.at n=29A271463
• Primes such that A271229(n) = prime(n).at n=26A276649
• Number of primitive (=aperiodic) 7-ary words with length less than or equal to n which are earlier in lexicographic order than any other word derived by cyclic shifts of the alphabet.at n=5A320091
• Primes of the form 5*n^2 - 5*n + 13.at n=39A320752
• a(1) = 2; and for n > 1, a(n) = A341512(n) + A347096(n).at n=63A347097