5229043

Properties

Appears in sequences

• Cyclotomic polynomials at x=13.at n=7A019331
• Cyclotomic polynomials at x=-13.at n=14A020512
• Triangle of Gaussian binomial coefficients [ n,k ] for q = 13.at n=29A022177
• Number of sublattices of index n in generic 7-dimensional lattice.at n=12A038994
• a(n) = 1111111 in base n.at n=12A053716
• Primes of the form sigma(m^2) where m is a composite number ordered by values m.at n=14A065403
• Z(S_m; sigma[1](n), sigma[2](n),..., sigma[m](n)) where Z(S_m; x_1,x_2,...,x_m) is the cycle index of the symmetric group S_m and sigma[k](n) is the sum of k-th powers of divisors of n; m=6.at n=12A068023
• Primes of the form n^6 + n^5 + n^4 + n^3 + n^2 + n + 1.at n=5A088550
• Partial sums of powers of 13 (A001022).at n=6A091030
• a(n)=(13^n - 1)/(3*2^(3 - Mod[n, 2])).at n=7A152436
• a(n) = Sum_{d|n} Moebius(n/d)*d^(b-1)/phi(n) for b = 8.at n=12A160897
• Legal generalized repunit prime numbers.at n=20A179625
• Primes of the form p^6 + p^5 + p^4 + p^3 + p^2 + p + 1 when p is prime.at n=3A194257
• Minimal order of degree-n irreducible polynomials over GF(13).at n=6A218360
• Primes of the form (k^p-1)/(k-1) not having representation in the form (m^q+1)/(m+1), where k,m > 1 and p,q > 2.at n=20A225148
• Primitive prime factors of the cyclotomic polynomial sequence Phi(7,k) in the order in which they occur.at n=15A256146
• a(n) = 1 + sigma(n) + sigma(n)^2 + sigma(n)^3 + sigma(n)^4 + sigma(n)^5 + sigma(n)^6.at n=8A259251
• Primes of the form: 1 + sigma(n) + sigma(n)^2 + sigma(n)^3 + sigma(n)^4 + sigma(n)^5 + sigma(n)^6.at n=3A259253
• Primes q appearing in A330832: that is, if A330832(n)=p*q, where p is prime and q=(p^k-1)/(p-1) is prime, then a(n)=q.at n=29A330835
• Prime numbersat n=363303