22567

Properties

Appears in sequences

• Square of the lower triangular normalized partition matrix.at n=45A027516
• First column of A027516.at n=9A027528
• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 86 ones.at n=29A031854
• Primes p such that 6p + 1 and (p-1)/6 are primes.at n=36A085957
• a(n)=floor{square((1*n^0+1*n^1+2*n^2+4*n^3)/(1*n^0+2*n^1+1*n^2))}.at n=38A086863
• Primes p such that 2*p +/- 3 and 8*p +/- 3 are all primes.at n=12A106022
• Primes congruent to 58 mod 61.at n=38A142856
• Primes p such that p*floor(p/2)-2 and p*floor(p/2)+2 are also prime numbers.at n=27A164621
• Primes which are the fourth element of a generalized Wieferich sequence.at n=11A179400
• Primes which are the fifth element of a generalized Wieferich sequence.at n=5A179678
• Primes p such that the least k with p+k and p+2k both prime sets a new record.at n=17A190423
• a(n) = n-1 for n <= 2; thereafter a(n) = A238824(n-2) + A238832(n-1).at n=14A238833
• Initial primes of sets of 8 consecutive primes all different by modulo 30.at n=43A248199
• Non-palindromic balanced primes in base 16.at n=25A256090
• Let F(g,p) be the frequency of g up to prime nextprime(p+1). Primes p such that F(2,p) = F(4,p) and g = 2 or 4.at n=51A274122
• Primes that can be generated by the concatenation in base 6, in descending order, of two consecutive integers read in base 10.at n=14A287307
• Odd numbers k such that the four consecutive odd numbers starting with k have a total of 5 prime factors counting multiplicity.at n=32A328489
• Primes of the form p=3*q+3*r+q*r where q and r are distinct primes and 2*p-3*q, 2*p-3*r and 2*p-q*r are also prime.at n=43A328822
• Primes p whose reverse q is a semiprime, and of p+q and its reverse one is a prime and the other is a semiprime.at n=21A350781
• E.g.f. satisfies A(x) = exp( x * exp(x^3) * A(x) ).at n=6A362655