33289
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers whose least quadratic nonresidue (A020649) is 17.at n=26A025026
- Positive numbers having the same set of digits in base 2 and base 8.at n=38A037413
- Sums of 4 distinct powers of 8.at n=6A038486
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 3.at n=30A050665
- McKay-Thompson series of class 35B for Monster.at n=48A058641
- Primes p that have exactly three primitive roots that are not primitive roots mod p^2.at n=14A060519
- Primes with 29 as smallest positive primitive root.at n=4A061733
- Arithmetic mean of first n terms of A001414 is an integer.at n=13A065131
- Primes which can be expressed as sums of distinct powers of 8.at n=5A077722
- Smallest odd prime base q such that p^3 divides q^(p-1) - 1, where p = prime(n).at n=31A125637
- Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=28A135844
- Prime numbers p not of the form 10*k+1 for which the quintic polynomial x^5-x-1 modulus p is factorizable into five binomials.at n=22A135845
- Prime numbers p such that p +- ((p-1)/4) are primes.at n=31A137705
- a(n) is the minimal prime of the form 4k+1 for which s=A008784(n) is the minimal positive integer such that s*a(n)-floor(sqrt(s*a(n)))^2 is a square.at n=11A145215
- 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, 0, 0), (-1, 1, 1), (0, -1, 0), (0, 1, -1), (1, 1, 0)}.at n=9A149336
- Primes in toothpick sequence A153003.at n=40A153005
- G.f.: A(x) = exp( Sum_{n>=1} sigma(n^3)*x^n/n ), a power series in x with integer coefficients.at n=10A156304
- Primes that become squares when prefixed with a 2.at n=17A167735
- Primes of the form 2n^2 + 7.at n=14A201475
- Number of -3..3 arrays of n elements with first through fourth differences also in -3..3.at n=8A202659