54287

Properties

Appears in sequences

• Numbers k such that p-k=p#-k#, where p=nextprime(k), k#=nextprime(square root of k), p#=nextprime(square root of p).at n=7A037210
• Primes of form p^2 - 2, where p is prime.at n=22A049002
• Primes p of form q^k-2 where q is also a prime and k > 1.at n=32A053705
• Numbers k such that 5*3^k - 2 is prime.at n=27A058591
• Primes of the form x^2 + y^2 + z, where x, y and z are three successive numbers.at n=25A095697
• 2*JacobiSymbol(p,5) mod p^2 for p=prime(n).at n=50A113651
• Primes of the form (4k^2 + 4k - 5)/5.at n=31A154619
• Primes of the form f^2-2, where f is a Fibonacci number.at n=7A163158
• Primes p such that the differences between p and the closest squares surrounding p are primes.at n=28A163848
• Golden Triangle sums: a(n) = a(n-1) + A001654(n+1) with a(0)=0.at n=11A180664
• Primes of the form p^q - q, where p and q are primes.at n=24A182474
• Fajtlowicz p-primes.at n=48A185955
• Let p_(3,2)(m) be the m-th prime == 2(mod 3). Then a(n) is the smallest p_(3,2)(m) such that the interval(p_(3,2)(m)*n, p_(3,2)(m+1)*n) contains exactly one prime == 2 (mod 3).at n=23A210467
• Smaller of Fermi-Dirac twin primes (A229064) which are not the smaller of twin primes (A001359).at n=28A229500
• Primes that are exactly between the nearest square and the nearest triangular number.at n=24A233443
• Primes which become cubes when the digits are rotated once to the left.at n=7A234929
• a(n) = F(n+3) * F(n+1) + (-1)^n where F(n) = A000045(n) are the Fibonacci numbers.at n=10A338225
• Numbers k such that tau(k) and tau(k+2) are both prime, where tau is the number of divisors function (the lesser of twin prime pairs are excluded).at n=29A343495
• Primes of the form H(m,k) = F(k+1)*F(m-k+2) - F(k)*F(m-k+1), where F(m) is the m-th Fibonacci number and m >= 0, 0 <= k <= m.at n=41A360932
• Primes of the form p^q - 2, where p and q are primes.at n=26A389431