50221

Properties

Appears in sequences

• Decimal part of a(n)^(1/3) starts with a 'nine digits' anagram.at n=21A034278
• Primes of the form 54k+1 generated recursively. Initial prime is 109. General term is a(n) = Min {p is prime; p divides (R^27 - 1)/(R^9 - 1); p == 1 (mod 27)}, where Q is the product of previous terms in the sequence and R = 3*Q.at n=1A125044
• Primes p such that (3^p + 3^((p + 1)/2) + 1)/7 is prime.at n=11A125744
• 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, -1, 0), (-1, 0, -1), (-1, 1, 1), (1, -1, -1), (1, 1, 1)}.at n=9A149529
• Primes where the first digit equals the sum of all the other digits.at n=32A156307
• a(n) = (n^4 - n^3 + 4*n^2 + 2)/2.at n=18A239592
• Numbers n such that the Eisenstein integer ((1-ω)^n+1)/(2-ω) has prime norm, where ω = - 1/2 + sqrt(-3)/2.at n=20A239842
• Consider the ratio res(p) = 2^A006666(p) / (p*3^A006667(p)) where p is prime. The prime numbers in this sequence are those for which res(p) sets a new record.at n=14A304524
• Expansion of e.g.f. exp(x * (1-2*x)).at n=10A362176
• Prime numbersat n=5155