510510
domain: N
Appears in sequences
- Primorial numbers (first definition): product of first n primes. Sometimes written prime(n)#.at n=7A002110
- Increasing values of A000793 (largest order of permutation of n elements).at n=33A002809
- Minimal difference of any increasing arithmetic progression of n primes.at n=16A033188
- Minimal difference of any increasing arithmetic progression of n primes.at n=17A033188
- Primorial numbers (second definition): n# = product of primes <= n.at n=17A034386
- Primorial numbers (second definition): n# = product of primes <= n.at n=18A034386
- Least integer of each prime signature, in graded (reflected or not) colexicographic order of exponents.at n=44A036035
- Product of 7 successive primes.at n=0A046325
- Triangle read by rows in which row n contains first n numbers with exactly n distinct prime factors.at n=21A048692
- Squarefree kernels of distinct values of lcm(1,...,m) (A051451).at n=11A056603
- Squarefree kernel of lcm(binomial(n,0), ..., binomial(n,n)).at n=18A056606
- Maximal order of element of alternating group A_{2n}.at n=30A057742
- Partitions encoded by prime factorization. The partition [P1+P2+P3+...] with P1>=P2>=P3>=... is encoded as 2^P1 * 3^P2 * 5^P3 *...at n=44A059901
- Leading least prime signatures, ordered by forming the product of primorials greater than 2 with multiplicities given by the canonical sequence of partitions.at n=19A062515
- Canonical partition sequence (see A080577) encoded by prime factorization. The partition [p1,p2,p3,...] with p1 >= p2 >= p3 >= ... is encoded as 2^p1 * 3^p2 * 5^p3 * ... .at n=44A063008
- Numbers k which, for some r, are r-digit maximizers of k/phi(k).at n=15A065800
- Multi-level primorials: triangle with a(n,k)=a(n-1,k-1)*a(n-1,k) but with a(n,1)=p(n) and a(n,n)=2.at n=29A066119
- a(1)=1; for n > 0, a(n+1) = rad(a(n))*n where rad=A007947.at n=17A066332
- Product of primes < n that do not divide n.at n=18A066838
- a(n) is the smallest positive integer m for which A070194(m) (i.e., the maximal gap in {k|gcd(k,m) = 1, 1 <= k <= m-1}) is n.at n=25A070971