51137

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 14.at n=35A031602
• Primes p of the form a^4+b^4+c^4 with a,b,c>=1 such that a^2+b^2+c^2 is another prime < p.at n=37A126117
• Base-6 pandigital primes: primes having at least one of each digit 0,1,2,3,4,5 when written in base 6.at n=10A175278
• Primes with nine embedded primes.at n=21A179917
• Prime numbers containing the digit string 137.at n=28A190307
• Upper twin prime-indexed primes in the sequence of prime(prime(i)).at n=4A228055
• Primes of the form (k^2+7)/11.at n=35A242930
• a(1)=0; thereafter a(2k)=k+a(k), a(2k+1)=k+a(6k+4).at n=54A271473
• a(1) is the smallest prime p such that 6*p^2-1 and 6*p^2+1 are twin primes; for n > 1, a(n) is the smallest prime q > a(n-1) such that 6*q^prime(n)-1 and 6*q^prime(n)+1 are twin primes or 0 if no solution exists.at n=3A327581
• Primes p such that (p^256 + 1)/2 is prime.at n=35A341234
• Primes such that x^16 = 2 has a solution in Z/pZ, but x^32 = 2 does not.at n=20A373468
• Prime numbersat n=5233