542603

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=40A000230
• a(n) = Min{ q prime | nextprime(q) - q - 1 = prime(n)}, or 0 if none exist.at n=20A063793
• Primes for which the eight closest primes are smaller.at n=19A075050
• a(n) is the smallest prime p of the form 4k+3 such that nextprime(p) - p = 4n.at n=19A082098
• Increasing peaks in the prime gap sequence A000230.at n=9A086977
• a(n) = prime(prime(A096480(n))).at n=39A096482
• Primes p such that q-p = 80, where q is the next prime after p.at n=0A126722
• a(n) = 4*n^4 + 3*n^3 + 2*n^2 + n + 1.at n=19A130886
• Records in A000230.at n=20A133429
• First occurrence of prime gap 10*n.at n=7A140791
• a(n) is the smallest prime p such that the gap between p and the next prime is 4*n.at n=19A301925
• Least prime p such that 2n can be written as the sum or absolute difference of p and the next prime, or -1 if no such prime exists.at n=40A363544
• a(0) = 2; for n > 0, a(n) is the smallest prime that differs from the next prime by 2n and is not part of a run of 3 or more consecutive primes in arithmetic progression, or -1 if no such prime exists.at n=40A368640
• Smaller of two consecutive primes p and q, both ending with 3, such that q-p = 10n, or -1 if no such primes exist.at n=7A381372
• Prime numbersat n=44773