43397

Properties

Appears in sequences

• Numbers p such that p = (prime(n)+ prime(n+3))/2 is prime for prime indices n=2, 3, 5...at n=36A098039
• Primes in the sequence A003294 of certain fourth powers bases.at n=32A134820
• List of strictly non-palindromic twin primes {p, p+2}.at n=20A138329
• Lesser of twin primes such that both twin primes have no bases b, 1 < b < p-1, in which p is a palindrome.at n=10A138348
• List of triples of strictly non-palindromic primes without an ordinary prime in between.at n=25A138358
• Expansion of x*(1+2*x+8*x^2+4*x^3+3*x^4) / ( (1+x)^2*(x-1)^4 ).at n=38A178947
• Primes which are the concatenation of two primes in exactly three ways.at n=12A238499
• Number of partitions of n with difference 3 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=47A242694
• a(n) = Sum_{k=0..n} ((2k+1)*C(n,k)*C(n+k,k))^2, where C(n,k) denotes the binomial coefficient n!/(k!*(n-k)!).at n=3A246461
• Initial members of prime quadruples (n, n+2, n+144, n+146).at n=27A248523
• a(n) is the smallest prime p such that there is a multiplicative subgroup H of Z/pZ, of odd size and of index 2n, such that for any two cosets H1 and H2 of H, H1 + H2 contains all of (Z/pZ)\0.at n=37A282001
• Lesser of twin primes p, p+2 such that prime(p) and prime(p+2) are also twin primes.at n=28A332968
• a(n) is the number of overpartitions of n where overlined parts are not divisible by 3 and non-overlined parts are congruent to 1 modulo 3.at n=49A335754
• Lowest prime p in a ladder of 4 consecutive primes p, p+2, p+6, p+14.at n=18A372247
• Lowest prime p in a ladder of 5 consecutive primes p, p+2, p+6, p+14, p+30.at n=4A372248
• Prime numbersat n=4524