34471

Properties

Appears in sequences

• Self-convolution of A073711.at n=40A073712
• Middle of 3 consecutive prime numbers such that p1*p2*p3 + d1 + d2 - 1 = average of twin prime pairs, d1 (delta) = p2 - p1, d2 (delta) = p3 - p2.at n=12A153404
• Honaker emirps: terms in A033548 that are emirps.at n=32A161118
• Number of binary strings of length n with no substrings equal to 0010 1001 or 1100.at n=15A164501
• Honaker primes of the form p = 2*k-1 with sum-of-digits(p) = sum-of-digits(k).at n=14A176111
• List of 4-tuples of twin primes q, p, p+2 and q+2 such that 3*q<p<(p+2)<3*(q+2).at n=30A177335
• Number of nX2 0..n+2-2 arrays with upper left zero and lower right n+2-2 and each element differing from its horizontal and antidiagonal neighbors by one or two.at n=5A265460
• T(n,k)=Number of nXk 0..n+k-2 arrays with upper left zero and lower right n+k-2 and each element differing from its horizontal and antidiagonal neighbors by one or two.at n=26A265466
• Number of 6Xn 0..6+n-2 arrays with upper left zero and lower right 6+n-2 and each element differing from its horizontal and antidiagonal neighbors by one or two.at n=1A265471
• Let p = n-th prime == 3 mod 8; a(n) = sum of quadratic residues mod p that are > p/2.at n=21A282722
• Primes p that set a new record for the size of the smallest prime q such that q^(p-1) == 1 (mod p^2), i.e., such that p is a base-q Wieferich prime.at n=31A289379
• Happy Honaker primes.at n=31A343192
• First of four consecutive primes p,q,r,s such that 2*p+q+r+s, p+2*q+r+s, p+q+2*r+s and p+q+r+2*s are all prime.at n=8A349586
• Expansion of e.g.f. exp(4*(exp(x) - 1) + 3*x).at n=5A367937
• Prime numbers of the form A385986(1) + ... + A385986(k) for some k > 0.at n=37A385987
• Prime numbersat n=3682