27743
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- "AFK" (ordered, size, unlabeled) transform of 2,1,1,1,...at n=27A032006
- Smallest prime in n-th shell of prime spiral.at n=28A053998
- Numbers n such that n!! + 2 is prime.at n=21A076185
- Primes of the form 6n^2 - 1.at n=27A090686
- Numbers n such that 4*10^n + 3*R_n + 6 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=18A102990
- Matrix square, T(n,k), of Parker's partition triangle A047812, read by rows (n >= 1 and 0 <= k <= n-1).at n=30A128567
- Column 2 of triangle A128567.at n=5A128569
- Number of cycles for the map LL:x->x^2-2 acting on Z/(2^n-1).at n=29A128976
- Primes p such that (p-7)/8 and 8p + 7 are both prime.at n=29A158238
- a(n) = 24*n^2 - 1.at n=33A158544
- Primes in A161190.at n=22A161191
- Prime p1 of the form a^b - c^d = p1, where a, b, c, d are primes and a + b + c + d = p2, where p2 (A164062) is also prime.at n=9A164061
- Prime p1 of the form a^b - c^d = p1, where a, b, c, d are primes and a + b + c + d = p2, where p2 (A164064) is prime and conc(abcd) = p3 (concatenation of a, b, c, d) is also prime (A164065).at n=2A164063
- Let A = A025584. a(n) is the smallest A(m) such that the interval (A(m)*n, A(m+1)*n) contains no primes from A.at n=12A207820
- 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=49A261192
- Sophie Germain primes p such that p+6 and p-6 are primes.at n=25A278869
- Numbers k such that (10^k - 13)/3 is prime.at n=20A280017
- Primes p such that 2*p+1 and 4*p^2+1 are also prime.at n=33A333803
- a(n) = Sum_{k=0..n} (-1)^k * binomial(n+3*k+3,n-k) * Catalan(k).at n=16A360059
- Prime numbersat n=3026