18743

Properties

Appears in sequences

• Numbers n such that (13^n - 1)/12 is prime.at n=9A016054
• Numbers k such that 69*2^k+1 is prime.at n=22A032384
• Euclid-Mullin sequence (A000945) with initial value a(1)=131071 instead of a(1)=2.at n=15A051331
• a(n) = r-th prime of the form (p-q)/(q-r) with r=prime(n+1), q=prime(n+2), and primes p > q.at n=60A089577
• Prime differences of Lucas 4-step numbers.at n=12A113295
• Eigenvector of the triangle of distinct partitions (A008289), so that: a(n) = Sum_{k=1..tri(n)} A008289(n,k)*a(k) for n>=1 with a(1)=1, where tri(n) = floor((sqrt(8*n+1)-1)/2).at n=51A118399
• Primes congruent to 40 mod 59.at n=32A142767
• Primes congruent to 16 mod 61.at n=32A142814
• Primes p of the form A152539(n) + 1.at n=29A152540
• Primes of the form floor( (k*(sqrt(3)*k-1))/sqrt(2) ).at n=19A180449
• Supersafe primes.at n=32A181841
• G.f.: A(x) = ...o x/(1-x^7) o x/(1-x^5) o x/(1-x^3) o x/(1-x), a composition of functions x/(1-x^(2*n-1)) for n=...3,2,1.at n=13A206721
• Primes that are the sum of three consecutive primes in A034962.at n=29A207527
• Number of (n+1) X (n+1) -4..4 symmetric matrices with every 2 X 2 subblock having sum zero and one or three distinct values.at n=9A211492
• Partial sums of A253086.at n=56A255150
• Non-palindromic balanced primes.at n=37A256076
• a(0) = 2; for n>0, a(n) = smallest prime p such that p > a(n-1) and p is congruent to n modulo prime(n).at n=39A261192
• P(n,k) is an array read by rows, with n > 0 and k=1..5, where row n gives the chain of 5 consecutive primes {p(i), p(i+1), p(i+2), p(i+3), p(i+4)} having the symmetrical property p(i) + p(i+4) = p(i+1) + p(i+3) = 2*p(i+2) for some index i.at n=3A267028
• Primes p such that p^7 - 1 has 8 divisors.at n=13A341669
• Primes that are no longer prime if in their binary representation any single bit is flipped but stay prime if a 1 bit is prepended.at n=32A385245