313409

Properties

Appears in sequences

• Smallest prime p of two consecutive primes, p < q, such that gcd(p+1, q+1) = 2n.at n=30A067604
• Smallest prime p such that A000120(nextprime(p)) - A000120(p) = n.at n=5A069576
• The first primes in centuries with three primes.at n=25A157131
• Primes p such that q-p = 62, where q is the next prime after p.at n=5A204669
• Primes p such that p+2, p+4, p+6, p+8, p+10 and p+12 are all semiprime.at n=18A241483
• Numbers n such that n+2, n+4, n+6, n+8, n+10, n+12 and n+14 are all semiprimes.at n=22A268578
• Primes p such that p+2, p+4, p+6, p+8, p+10, p+12 and p+14 are all semiprime.at n=4A268862
• a(n) is the smallest prime p whose decimal expansion begins with n and is such that the next prime is p+2n, or -1 if no such prime exists.at n=30A308438
• Prime numbersat n=27069