35617

Properties

Appears in sequences

• a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists.at n=27A000230
• a(n) = floor(phi*a(n-1)) + a(n-2) where phi is the golden ratio.at n=14A005830
• Prime islands: for n >= 2, a(n) = least prime whose adjacent primes are exactly 2n apart; a(1) = 3 by convention.at n=33A046931
• Fifth term of weak prime sextet: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m).at n=12A054832
• Smallest prime p such that there is a gap of 6n between p and the next prime.at n=8A058193
• a(n) = Min{ q prime | nextprime(q) - q - 1 = prime(n)}, or 0 if none exist.at n=14A063793
• Smaller of two consecutive primes which are anagrams of each other.at n=5A069567
• List of Ormiston prime pairs.at n=10A072274
• Primes for which the five closest primes are smaller.at n=24A075037
• Primes for which the six closest primes are smaller.at n=8A075038
• Primes p such that (r-p)/log(p) > 4, where r is the next prime after p.at n=12A082889
• Primes p such that (r-p)/log(p) > 5, where r is the next prime after p.at n=4A082890
• a(n) = prime(prime(A096480(n))).at n=26A096482
• Primes that are a concatenation of 3, 5 and a prime.at n=27A101219
• prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 15.at n=2A109569
• Numbers appearing in A122072 at least four times.at n=24A122390
• a(n) = numerator of Sum_{k=1..n} k^mu(n+1-k), where mu(m) = A008683(m).at n=11A130491
• Primes p such that log(nextPrime(p))/log(p) is smaller for larger primes.at n=42A144104
• Primes of the form 20n^2+8n+1.at n=17A154405
• Primes p such that both pi(p) and the concatenation of pi(p) and p are prime, where pi is the prime counting function.at n=48A155032