33617
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Least k such that H(k) > n, where H(k) is the harmonic number Sum_{i=1..k} 1/i.at n=11A002387
- Least k such that H(k) >= n, where H(k) is the harmonic number Sum_{i=1..k} 1/i.at n=11A004080
- Numbers k such that if 2 <= j < k then the fractional part of the k-th partial sum of the harmonic series is < the fractional part of the j-th partial sum of the harmonic series.at n=7A004796
- Numerators of continued fraction convergents to sqrt(70).at n=9A041122
- Numerators of continued fraction convergents to sqrt(280).at n=9A041526
- Prime number spiral (clockwise, Southeast spoke).at n=30A054564
- Numbers n such that the best rational approximation to H(n) with denominator <=n is an integer, where H(n) denotes the n-th harmonic number (A001008/A002805).at n=20A079353
- Members of A083989 whose 10's complement is also a member of A083989.at n=29A083991
- Larger of 3 consecutive prime numbers such that p1*p2*p3*d1*d2=average of twin prime pairs; p1,p2,p3 consecutive prime numbers; d1(delta)=p2-p1, d2(delta)=p3-p2.at n=23A153411
- Primes p such that the polynomial x^2 + x + p generates only primes for x = 0, ..., 4.at n=25A187057
- Primes p such that the polynomial x^2 + x + p generates only primes for x = 1..5.at n=11A187058
- Initial primes of 5 consecutive primes with consecutive gaps 2, 4, 6, 8.at n=11A190814
- Primes of the form 5n^2 - 3.at n=12A201785
- Prime numbers p such that x^2 + x + p produces primes for x = 0..5 but not x = 6.at n=4A210364
- Number of (w,x,y,z) with all terms in {0,...,n} and w=[R/2], where R=max{w,x,y,z}-min{w,x,y,z} and [ ]=floor.at n=33A212758
- Least positive integer k such that 1 + 1/2 + ... + 1/k > n/2.at n=21A226161
- Least positive integer k such that 1 + 1/2 + ... + 1/k > n/3.at n=32A226187
- Primes p such that p+2, p+24 and p+246 are also primes.at n=34A235871
- 1 followed by the union of the terms > 2 in A002387 (or A004080) and A115515.at n=20A242654
- Prime numbers whose binary expansion involves powers of 2 with only composite (or zero) exponents.at n=30A342481