50593

Properties

Appears in sequences

• [ n(n-1)(n-2)(n-3)/13 ].at n=30A011923
• First occurrence prime gaps of the primes in sequence A002313 (Real primes with corresponding complex primes). a(0) = 2 with length of gap 3. For n>0 the size of the gap in the sequence is 4n, a(n) is the starting prime of the gap.at n=37A084160
• Primes that are the sum of two squares and which set a record for the gap to the next prime of that form.at n=14A084161
• 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=35A126117
• Consecutive Pythagorean primes p = A002144(r) and q = A002144(r+1) such that q - p > log(p)^2. The number a(n) is the n-th value of p.at n=9A216924
• Primes of the form (k^2+7)/11.at n=34A242930
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 782", based on the 5-celled von Neumann neighborhood.at n=8A273535
• Greatest of 4 consecutive primes with consecutive gaps 6, 4, 2.at n=40A290635
• Expansion of 1/(1 + 1/(1 - x) - Product_{k>=1} 1/(1 - x^k)).at n=16A317535
• Smallest prime factor of n-th term in Look and Say sequence A005150, with a(1)=1.at n=18A334132
• Prime numbersat n=5190