33287

Properties

Appears in sequences

• Sixth term of weak prime sextet: p(m-4)-p(m-5) < p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=11A054833
• Numbers k such that 11*10^k - 1 is prime.at n=17A111391
• a(0) = a(1) = a(2) = 1, a(n) = largest prime <= a(n-1) + a(n-2) + a(n-3).at n=19A126273
• a(n) = numerator(Sum_{k=0..n} 1/(binomial(2*k,k)*(k+1))).at n=4A145564
• Primes of the form 2n^2 + 5.at n=37A201474
• Primes p such that p+2, p+24 and p+246 are also primes.at n=33A235871
• a(0) = 3, then a(n) is the least prime greater than a(n-1) that follows a gap of exactly 2*n.at n=20A253899
• Number of permutations in S_n that avoid the pattern 42315.at n=8A256206
• a(n) is the smallest nonnegative k such that there is no 3 X 3 matrix with entries in {1,...,n} whose determinant is k.at n=27A262719
• a(1)=3; for n>1, if n is odd a(n) = spf(Product_{k=1..n-1}(a(k))+1) else a(n) = spf(Product_{k=1..n-1}(a(k))-1), where spf is "smallest prime factor".at n=33A265009
• a(n) = largest prime factor of the number with decimal expansion 20305070...0p_n where p_n = n-th prime.at n=3A308899
• Emirps p such that (p*q) mod (p+q) is also an emirp, where q is the digit reversal of p.at n=41A355651
• Numbers k such that both Sum_{i=1..k} i*prime(i) and Sum_{i=1..k} (k+1-i)*prime(i) are prime.at n=45A356178
• Prime numbers preceded by two consecutive numbers which are products of four distinct primes (or tetraprimes).at n=11A361796
• Lesser of twin primes p such that p and p+2 are both in A115591.at n=32A367318
• Prime numbersat n=3563