26501

Properties

Appears in sequences

• Numbers that are the sum of 6 nonzero 8th powers.at n=23A003384
• Numbers k such that the continued fraction for sqrt(k) has period 93.at n=24A020432
• Numbers p such that p = (prime(n)+ prime(n+3))/2 is prime for prime indices n=2, 3, 5...at n=26A098039
• Number of partitions of n having positive odd rank (the rank of a partition is the largest part minus the number of parts).at n=46A101707
• Primes of the form 250n + 1.at n=30A179231
• Number of nondecreasing arrangements of n+2 numbers in 0..4 with each number being the sum mod 5 of two others.at n=23A183907
• Primes of the form 3*m^2 - 7.at n=16A201718
• Primes p such that Sum_{k=primes<p} (k mod p) and Sum_{k=primes<p} (p mod k) are both prime.at n=14A274025
• Primitive terms of A338890.at n=37A338892
• G.f. A(x) satisfies: Sum_{n>=0} x^n*A(x)^(3*n)/(1 - x*A(x)^n) = Sum_{n>=0} x^n*A(x)^n/(1 - x*A(x)^(3*n+2)).at n=6A340895
• Rectangular table of coefficients T(k,n) in row functions R(k,x) = Sum_{n>=0} T(k,n)*x^n that satisfy the condition: Sum_{n>=0} x^n/(1 - x*R(k,x)^(n+k)) = Sum_{n>=0} x^n*R(k,x)^n/(1 - x*R(k,x)^(k*n+k-1)), for k >= 0, read here by antidiagonals.at n=51A340940
• Primes p whose reverse q is a semiprime, and of p+q and its reverse one is a prime and the other is a semiprime.at n=33A350781
• Primes p such that, if q,r,s are the next three primes, both p*q*r*s - (p+q+r+s) and p*q*r*s + (p+q+r+s) are primes.at n=9A390929
• Prime numbersat n=2911