28111

Properties

Appears in sequences

• Let c(k) denote the k-th composite number and p(k) the k-th prime number; then a(n) = Sum_{i=n*(n-1)/2+1 .. n*(n+1)/2} c(i) - Sum_{i=1..n} p(i).at n=36A024850
• Primes arising in A085042: a(n) = the n-th partial sum of A085042.at n=38A085043
• Prime numbers p such that p^3 - p + 1 and p^3 + p - 1 are both primes.at n=29A137463
• Number of lattice paths from (0,0) to (n,n) using steps S={(k,0),(0,k),(r,r)|0<k<=4,0<r<=2} which never go above the line y=x.at n=6A175937
• Primes p that p//13 and p//31 are consecutive primes.at n=37A176601
• Total sum of the numbers of partitions with positive k-th ranks of all partitions of n.at n=29A208479
• Primes that are the sum of 25 consecutive primes.at n=34A215991
• Primes p such that q = 2*p^2 - 1 and 2*p*q - 1 are also prime.at n=42A224990
• Prime numbers containing the string 111.at n=20A243527
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) + 1, where a(0) = 2, a(1) = 4, b(0) = 1, b(1) = 3, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.at n=17A295954
• a(n) is the first prime p such that q*r mod p = q*r mod s = 12*n, where q,r,s are the next three primes after p.at n=39A338615
• Primes having only {1, 2, 8} as digits.at n=30A385775
• Prime numbersat n=3068