106501

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 43.at n=7A031631
• a(n) = 2^(n-1)*(5*n-8) + 5.at n=12A048498
• Numbers n such that n, 10*n+1, 10*n+3, 10*n+7 and 10*n+9 are all primes.at n=25A067267
• Non-palindromic primes which on subtracting their reversal give perfect squares.at n=24A080177
• Primes arising in A099678.at n=16A100502
• a(n) = number of solutions to the Diophantine equation x+y^2+z^3=n^4 with positive x,y,z.at n=33A121876
• 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, -1), (-1, 0, 1), (0, -1, 1), (0, 1, -1), (1, 0, 0)}.at n=12A148100
• a(n) is the least n-digit prime p whose reversal is a prime q < p.at n=4A152033
• Primes of the form n*2^n + 5.at n=7A182342
• Emirps (A006567) whose difference with the reversal is a perfect square.at n=8A217386
• a(n) is the minimal odd odious k > 1, such that k^i, i=1,2,...,n, all are odious, or a(n)=0, if there is no such k.at n=16A230496
• Expansion of Product_{k>=0} 1/(1-x^(5*k+1))^(5*k+1).at n=48A285049
• a(n) is the least number k such that {k, k^2, ..., k^n} are all odious numbers (A000069), but k^(n+1) is not.at n=16A345399
• Prime numbersat n=10152