49139

Properties

Appears in sequences

• n is equal to the number of 1's in all numbers <= n written in base 8.at n=13A014885
• Smallest nontrivial extension of n-th cube which is a prime.at n=16A030692
• Primes of form k*2^k - k - 1.at n=3A046842
• Prime numbers that are 2 less than a prime-indexed odd triangular number or 1 more than a prime-indexed even triangular number.at n=38A096333
• Chen primes p such that p + 2 is triangular.at n=14A109504
• Chen primes p such that their p + 2 counterpart is a Sarrus number (pseudoprime to base 2).at n=8A109994
• Corresponds to m = 3 in a family of 4th-order linear recurrence sequences given by a(m,n) = m^4*a(n-4) + (2*m)^2*a(n-3) - 4*a(n-1), a(m,0) = -1, a(m,1) = 4, a(m,2) = -13 + 6*(m-1) + 3*(m-1)^2, a(m,3) = (-8+m^2)^2.at n=12A113249
• Slater-Velez permutation sequence of the 2nd kind.at n=29A129198
• Primes of the form (p^2 - 1)/8 - p, where p is also a prime.at n=26A165567
• Primes of the form 8*k^2 + 6*k - 1 for positive k.at n=40A187677
• Lesser of pseudo twin primes to base 2.at n=28A192297
• Primes of the form 10n^3+9.at n=5A201306
• a(n) = prime(prime(n^2)).at n=25A217623
• Concatenation of n-th nonprime and n-th prime.at n=33A253911
• Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 758", based on the 5-celled von Neumann neighborhood.at n=15A283905
• Primes of the form T(p) - 2 where T(p) is the triangular number (A000217) with prime index p in A357218.at n=20A357219
• Expansion of g.f. A(x) satisfying 1 = Sum_{n>=0} x^n / (1 - (-x)^(n+1)*A(x)).at n=11A363306
• G.f. satisfies A(x) = 1 + x*A(x)/(1 - x^2*A(x)^3).at n=12A365244
• a(n) is the least prime p such that the binary expansions of p and of the next prime q > p differ at exactly n positions, and p and q have the same binary length.at n=12A374179
• Prime numbersat n=5051