65599

Properties

Appears in sequences

• a(n) = n^3 + n^2 - 1.at n=39A003777
• a(n) = Sum_{k=0..2n} (k+1) * A027113(n, 2n-k).at n=9A027138
• Least j > 1 for n > 0 such that j^2 = (n^2 + 1)*(k^2) + (n^2 + 1)*k + 1 where k sequence = A106230.at n=40A106229
• a(0) = 2; a(n) = least prime p such that p >= a(n-1) + 2^n.at n=15A134694
• a(n) = 78*n^2 + 1.at n=29A158769
• Semi-sums (average) of two (not necessarily distinct) Mersenne primes (A000668).at n=18A169628
• Semi-sums (average) of any two distinct Mersenne primes (A000668).at n=13A171253
• Primes which are the average of any two (not necessarily distinct) Mersenne primes (A000668).at n=16A171254
• Primes which are the average of two distinct Mersenne primes (A000668).at n=11A171255
• Primes of the form 4^k + 4^m - 1, where k and m are positive integers.at n=19A234310
• Primes of the form m = 2^i + 2^j - 1, where i > j >= 0.at n=41A239712
• Primes of the form m = 4^i + 4^j - 1, where i > j >= 0.at n=15A239714
• Primes of the form 2^x + y (x >= 0 and 0 <= y < 2^x) such that all the numbers 2^(x+a) + (y-a) (0 < a <= y) are composite.at n=41A264866
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 606", based on the 5-celled von Neumann neighborhood.at n=35A289891
• Slowest increasing sequence of primes such that a(n - 1) + a(n) and a(n - 1)^2 + a(n)^2 are both semiprimes, with a(1)=2.at n=39A365050
• Numbers k such that A163511(k) is an eleventh power.at n=7A366391
• Primes having only {5, 6, 9} as digits.at n=20A385797
• Primes having only {5, 6, 8, 9} as digits.at n=40A386198
• Prime numbersat n=6552