21013
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form j^2 + (j+1)^2.at n=36A027862
- Primes followed by a [4,2,4] prime difference pattern of A001223.at n=36A052378
- Prime(n) and prime(n+4) use the same digits.at n=20A069796
- Downward vertical of triangular spiral in A051682.at n=34A081272
- Primes of the form (4*k + 3)^2 + (4*k + 2)^2 where k=0,1,2,3,...at n=10A087872
- Nontrivial Delannoy numbers that are primes.at n=38A101167
- Primes of the form 8*n^2 + 4*n + 1.at n=18A102130
- Diagonal sums of number triangle A104881.at n=16A104882
- Centered square numbers that are prime powers of the form (4n+1)^k.at n=38A133322
- Primes in the sequence A003294 of certain fourth powers bases.at n=15A134820
- Mother primes of order 8.at n=35A136067
- Prime quadruples: 2nd term.at n=19A136720
- a(n) is n-th prime == 1 (mod 6n).at n=33A138906
- Primes of the form prime(x)^2 + (prime(x) - 1)^2.at n=12A147718
- a(1) = 1; thereafter a(n) is always the smallest integer > a(n-1) not leading to a contradiction, such that any five consecutive digits in the sequence sum up to a prime.at n=30A152605
- Depression-type primes with five digits; from left to right digits decrease to and increase from the central digit.at n=0A157083
- Number of reduced words of length n in the Weyl group D_7.at n=20A162210
- Number of reduced words of length n in the Weyl group D_7.at n=22A162210
- Take A163498(n) written in binary, insert a 0 before every 1. a(n) is the decimal equivalent of the result.at n=43A163499
- Primes obtained from other primes by pre-concatenating with 2.at n=36A165243