30631

Properties

Appears in sequences

• Smallest prime p such that there is a gap of 2n between p and previous prime.at n=18A001632
• Fibonacci sequence beginning 3, 10.at n=18A022122
• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 96 ones.at n=34A031864
• Initial prime in set of 4 consecutive primes with common difference 6.at n=18A033451
• First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2).at n=18A054800
• Primes of the form k^2+6.at n=16A056909
• Smallest prime p such that there is a gap of 2*prime(n) between p and previous prime.at n=7A080083
• Increasing peaks in the prime gap sequence A001632.at n=3A086978
• a(n) = nextprime(A090117(n)), the smallest prime following squares listed in A090117 and also the distance of a(n) from the preceding prime is 2*n.at n=18A090119
• Primes p such that p, p+6, p+12, p+18 are consecutive primes and p = 6*k+1 for some k.at n=8A090837
• Largest prime factor of A096421(n).at n=28A097365
• Primes of the form a^5 + b^3 with a,b>0.at n=28A100273
• a(n) = least prime P(n) such that P(n)-2*p(n) is prime and P(n+1)>P(n) with p(n)=n-th prime.at n=7A115972
• Primes p such that p^3-p-+1 are twin primes.at n=36A158295
• Primes which are triangular numbers plus 3.at n=25A159047
• Number of "ON" cells at n-th stage of three-dimensional version of the cellular automaton A160414 using cubes.at n=19A161340
• a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (r-q)/(q-p) has denominator n in lowest terms.at n=18A179234
• Floor(1/{(9+n^4)^(1/4)}), where {} = fractional part.at n=40A184633
• Primes formed from concatenation of PrimePi(n) and prime(n).at n=35A236551
• a(0) = 3, then a(n) is the least prime greater than a(n-1) that follows a gap of exactly 2*n.at n=19A253899