50069

Properties

Appears in sequences

• a(n) = Sum_{k=1..n} k^k.at n=6A001923
• a(n) is the least prime > a(n-1) whose digits do not appear in a(n-1).at n=29A030284
• Sum[k^k], where sum is over positive integers, k, where k <= n and gcd(k,n) = 1.at n=6A057792
• Primes of the form Sum_{k=1..n} k^k, i.e., primes in A001923.at n=2A073826
• Primes whose digits do not appear in two previous terms.at n=27A107798
• Primes of the form (1+2n+3n^2+4n^3)/2.at n=6A123077
• Primes of the form a^a + b^b + c^c + d^d + e^e + f^f.at n=32A136294
• Primes of the form Sum_{i=1..6} (k+i)^i with k>=0.at n=0A160932
• The smallest prime divisor of 1 + 2^2 + 3^3 + ... + n^n.at n=4A175232
• Base-6 pandigital primes: primes having at least one of each digit 0,1,2,3,4,5 when written in base 6.at n=3A175278
• Greatest prime divisor of 1 + 2^2 + 3^3 + ... + n^n.at n=4A214662
• Primes p such that p^4 + p + 1 and p^4 - p - 1 are also prime.at n=30A236073
• Number of integer partitions of n with unsortable prime factors.at n=47A326332
• Primes of the form Sum_{k=i..j} k^k.at n=4A340392
• Triangle, read by rows, with row n forming the coefficients in Product_{k=0..n} (1 + k^k*x).at n=22A348014
• Primes having only {0, 5, 6, 9} as digits.at n=17A386078
• Prime numbersat n=5140