60271

Properties

Appears in sequences

• a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=a(2)=1.at n=48A033499
• Start of the first run of exactly n consecutive primes, none of which are twin primes.at n=29A065044
• Primes of the form 4*k^2 - 10*k + 7 with k positive.at n=36A073337
• Smallest prime such that n*k(n)^2+n*k(n)+1 is a prime > (n-1)*k(n-1)^2+(n-1)*k(n-1)+1 with k(n)>1 or 0 if n=4 as no prime possible.at n=34A104995
• Primes of the form (2k)^2 + 3(2k + 1)^2.at n=18A147297
• Primes p such that there are positive integers m and n and a prime q such that p = m^2+m-q = n^2+n+q.at n=35A162652
• Primes of the form ((p-1)/2)^2+((p+1)/2), where p is prime.at n=36A163418
• G.f. satisfies: A(x) = 1/(1 - x*A(x)^2/(1 - x^2*A(x)^2/(1 - x^3*A(x)^2/(1 - x^4*A(x)^2/(1 - ...))))), a recursive continued fraction.at n=8A192729
• Primes p such that 2p^2-1, 3p^2-2 and 4p^2-3 are also prime.at n=22A213079
• Septic artiads: primes p congruent to 1 mod 14 for which all solutions of the congruence x^3 + x^2 - 2x - 1 == 0 (mod p) are 7th power residues.at n=14A270800
• Prime numbersat n=6083