105211

Properties

Appears in sequences

• Let P(k) = floor(k/2). Start with n, apply P repeatedly until reach 1. a(n) = concatenation of numbers obtained.at n=18A083177
• Let n! = 2^a*3^b*5^c*7^d.... in canonical form, then a(n) = concatenation a,b,c,d,...at n=11A093881
• Primes which remain prime after reflection across a vertical line through the middle of the number (numbers are written as digital clock style numerals).at n=25A178318
• Emirps that become their own reversals when rotated through 180 degrees (including on calculator display).at n=14A209620
• Primes of the form 2*n^2 + 34*n + 15.at n=19A217494
• Upper ends of record gaps between prime-indexed primes.at n=17A280081
• Primes p such that A001177(p) = (p-1)/9.at n=33A308802
• Primes formed by concatenating k and 2k+1.at n=36A309808
• a(0) = 1; a(n) = Sum_{k=1..n} (-1)^(n - k) * binomial(n,k) * a(k-1) * a(n-k).at n=8A331404
• Emirps p such that p == 1 (mod s) and R(p) == 1 (mod s), where R(p) is the digit reversal of p and s the sum of digits of p.at n=40A356947
• Starts of runs of at least 3 consecutive odd numbers whose prime factors are all prime-indexed primes.at n=36A357168
• a(0) = 2; afterwards a(n) is the least prime greater than a(n-1) such that Omega(a(n-1) + a(n)) = n.at n=15A357713
• Prime numbersat n=10037