33151
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that are palindromic in base 13.at n=32A029980
- Numbers k such that k^2 is palindromic in base 13.at n=33A029998
- a(n) is the least k in A002977 with a gap of n. Also n + a(n) is the least k in A007448 which is repeated n times.at n=17A058361
- Primes such that the sum of the squares of its digits is equal to the product of its digits.at n=7A067779
- Square array A(row>=1, col>=1) by antidiagonals: A(r,c) contains the c:th prime p for which A037888(p)=(r-1).at n=43A095749
- 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=32A096333
- Decimal Goedelization of antitheorems from propositional calculus, in Richard C. Schroeppel's metatheory of A101273.at n=24A100200
- Primes from merging of 5 successive digits in decimal expansion of the Euler-Mascheroni Constant.at n=23A104939
- Smallest prime of the form: all threes followed by prime(n). a(n) >prime(n). 0 if no such prime exists.at n=35A114785
- Primes of the form p = prime(k+1) such that prime(k) = (prime(k+3)+prime(k-1))/2.at n=31A126239
- a(1)=1, a(2)=2. a(n) is the a(n-1)th integer from among those positive integers coprime to a(n-2).at n=26A126881
- Primes in A128490.at n=25A128491
- a(n) is the n-th prime of the form x^2+n.at n=26A128968
- a(n) = 1 + n*(n+1)*(n^2-n+12)/12.at n=25A136396
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (-1, 1, 0), (1, 0, -1), (1, 0, 1)}.at n=9A149279
- Erroneous version of A100200.at n=15A151996
- a(n) = 1 + 2*n + n^2 + 2*n^3 + n^4.at n=13A165563
- a(2n)=A165568(n). a(2n+1)=A165563(n).at n=27A171733
- Primes of the form 8*k^2 + 6*k - 1 for positive k.at n=34A187677
- Primes of the form n^2+number of divisors of n^2.at n=27A188665