32647
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = 2^n - 1 - n*(n+1)/2.at n=15A002662
- Primes p that have exactly three primitive roots that are not primitive roots mod p^2.at n=13A060519
- Primes of the form k# + (k+1)#,..,+(k+x)#+ 61; where k#,(k+1)#,(k+x)# are primorials numbers, members of A002110.at n=4A127732
- Number of planar n X n X n binary triangular grids with no more than 12 ones in any 5 X 5 X 5 subtriangle.at n=5A153546
- Number of planar n X n X n binary triangular grids with no more than 12 ones in any similarly oriented 5 X 5 X 5 subtriangle.at n=5A153574
- a(n) = Sum_{k=0..12} binomial(n,k).at n=15A219615
- Primes p such that the sum of the squares of the digits of p plus p is the square of a prime.at n=4A225741
- Primes in the union of all n-step Lucas sequences.at n=33A227885
- a(1)=1; thereafter a(n) = 2^(number of bits in binary expansion of a(n-1)) + 1 + a(n-1).at n=12A232228
- Primes p such that p + 4, p + 16, p + 64, p + 256 and p + 1024 are all semiprimes.at n=25A241493
- 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 581", based on the 5-celled von Neumann neighborhood.at n=14A289525
- Primes of the form 11*n^2 + 55*n + 43.at n=39A292578
- Number of unoriented polyomino rings of length 4n with fourfold rotational symmetry.at n=17A324407
- Positions of records in A194943.at n=29A362850
- Prime numbersat n=3504