33301
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Reflectable emirps.at n=30A007628
- Primes of the form 666*n + 1.at n=16A037029
- Numbers whose base-8 representation has exactly 6 runs.at n=11A043628
- First member of a prime quadruple in a 2p-1 progression.at n=18A057327
- First member of a prime 5-tuple in a 2p-1 progression.at n=4A057328
- First member of a prime sextuplet in a 2p-1 progression.at n=1A057329
- A064637 converted to factorial base.at n=29A064477
- Smallest prime p such that the infinite sequence {p, p'=2p-1, p''=2p'-1, ...} begins with a string of exactly n primes.at n=5A064812
- Primes p such that the period of the decimal expansion of 1/p is a square.at n=35A072858
- Primes in A003154.at n=35A083577
- Primes of the form k^2 - 7*k + 7.at n=38A089376
- Numbers n such that the numbers of divisors of n,n+1,n+2 and n+3 are k,2k,4k,8k respectively for some k.at n=16A100364
- Prime numbers p such that p +- ((p-1)/6) are primes.at n=37A137724
- Primes containing the string 333.at n=16A166581
- Triangle read by rows: T(n,k) (n>=1, 1 <= k <= n) = number of n-element unlabeled interval posets of height k.at n=50A193387
- Palindromic primes in the sense of A007500 with digits '0', '1' and '3' only.at n=25A199303
- Lesser of consecutive primes whose average is an oblong number.at n=44A242383
- a(n) = smallest prime q where exactly n primes p exist such that p < q and q^(p-1) == 1 (mod p^2), i.e., smallest prime base q having exactly n Wieferich primes less than q.at n=8A252232
- Expansion of g.f. (1-2*x+51*x^2)/(1-x)^3.at n=37A257352
- Primes p such that A001175(p) = (p-1)/9.at n=17A308794