34631

Properties

Appears in sequences

• Number of factorizations with 2 levels of parentheses indexed by prime signatures. A050338(A025487).at n=45A050339
• Balanced primes separated from the next lower and next higher prime neighbors by 18.at n=5A053073
• Euler transform applied three times to partition triangle A008284.at n=64A055886
• Primes of the form 666*k - 1.at n=16A063472
• List of Ormiston prime pairs.at n=9A072274
• Balanced primes of order seven.at n=30A096699
• Primes p such that (p+18), (p+36) and (p+72) are also prime.at n=36A175158
• Primes whose binary reversal is a square.at n=30A226019
• Number of length n+2 0..6 arrays with no three elements in a row with pattern aba (with a!=b) and new values 0..6 introduced in 0..6 order.at n=7A243603
• Balanced primes of order one ending in 1.at n=26A303092
• a(n) = 1 + Sum_{k=1..n} Sum_{d|k} mu(k/d)*p(d), where p(d) = number of partitions of d (A000041).at n=31A306912
• a(n) equals the smallest Sophie Germain prime q such that pi_(p,2p+1)(q,10,(1,3)) - pi_(p,2p+1)(q,10,(3,1)) = n, where pi_(p,2p+1)(q,10,(b,c)) equals the number of Sophie Germain primes A005384(i) such A005384(i) <= q and (A005384(i),A005384(i+1)) == (b,c) (mod 10).at n=9A333084
• Primes of the form (p*q+r*s)/2, where p,q,r,s are consecutive primes.at n=9A340307
• Prime numbersat n=3699