18307

Properties

Appears in sequences

• Partial sums of A001935; at one time this was conjectured to agree with A007478.at n=36A014605
• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 78 ones.at n=17A031846
• Discriminants of imaginary quadratic fields with class number 17 (negated).at n=32A046014
• Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223.at n=34A052164
• Numbers n such that Catalan(n)-1 is prime.at n=37A053427
• Primes p equal to the sum of two successive sexy primes - 1 such that p - 6 is also prime.at n=29A104047
• Start with 1 and repeatedly reverse the digits and add 36 to get the next term.at n=34A118536
• Expansion of g.f.: x/((1-x^2)^3 -1+x).at n=10A123888
• Primes of the form p = prime(k+1) such that prime(k) = (prime(k+3)+prime(k-1))/2.at n=18A126239
• Real part of the smallest Gaussian prime having a gap size of exactly A128106(n).at n=15A128107
• Primes congruent to 22 mod 53.at n=36A142552
• Primes congruent to 17 mod 59.at n=35A142744
• Primes congruent to 7 mod 61.at n=40A142805
• Honaker emirps: terms in A033548 that are emirps.at n=29A161118
• Honaker primes of the form p = 2*k-1 with sum-of-digits(p) = sum-of-digits(k).at n=10A176111
• 6n-1,6n+1, 6n+5, 6n+7 are all primes. That is they are adjacent pairs of twin primes.at n=39A178145
• Primes formed from concatenation of PrimePi(n) and prime(n).at n=20A236551
• Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.at n=5A240360
• T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.at n=33A240364
• Number of 6Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.at n=2A240369