30047

Properties

Appears in sequences

• Smallest prime > prime(1)*prime(2)*...*prime(n)+1.at n=6A035345
• Primes of the form (k-th primorial) + (k+1)-st prime.at n=3A038708
• a(n) is the smallest prime > product of the first n primes (A002110(n)).at n=6A038710
• Denominators of continued fraction convergents to sqrt(204).at n=9A041379
• Primes p such that p, p+12, p+24 are consecutive primes.at n=29A052188
• Prime number spiral (clockwise, Northwest spoke).at n=28A053999
• n-th primorial (A002110) + prime(n + 1).at n=6A060881
• Smallest prime divisor of n-th primorial + (n+1)-st prime.at n=5A065315
• Largest prime divisor of the sum of the n-th primorial and the (n+1)-st prime.at n=5A065317
• a(n) is the least prime of the form prime(n)# * k + prime(n+1).at n=5A090186
• Larger of a pair (p,q) of primes with (p+q)/2=prime(n)# and q-p is minimal.at n=4A094711
• Molien series for symmetrized weight enumerators of doubly-even Euclidean self-dual codes over the Galois ring GR(4,2).at n=9A099752
• Larger prime in pair prime(k) +/- k for some k.at n=36A107637
• Lesser of consecutive primes whose sum is a palindromic number.at n=32A242386
• Primes p such that 2*p^3 + 1 and 2*p^3 + 3 are also primes.at n=21A252042
• P(n,k) is an array read by rows, with n > 0 and k=1..5, where row n gives the chain of 5 consecutive primes {p(i), p(i+1), p(i+2), p(i+3), p(i+4)} having the symmetrical property p(i) + p(i+4) = p(i+1) + p(i+3) = 2*p(i+2) for some index i.at n=16A267028
• Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 411", based on the 5-celled von Neumann neighborhood.at n=14A281897
• a(n) is the least prime > a(n-2) such that a(n-1)+a(n) is a square.at n=32A359582
• Primes p which can be written as p = (A060735(k) +- next largest prime factor not in A060735(k)) for some k.at n=44A378018
• Primes having only {0, 3, 4, 7} as digits.at n=37A386058