4652507

Properties

Appears in sequences

• Record gaps between primes (upper end) (compare A002386, which gives lower ends of these gaps).at n=21A000101
• Upper prime of a record difference between it and the second prime before it.at n=27A031134
• Primes that show the slow decrease in the larger values of the Andrica function Af(k) = sqrt(p(k+1)) - sqrt(p(k)), where p(k) denotes the k-th prime.at n=24A084975
• Larger prime power associated with gaps in A121492.at n=26A167236
• a(n) = smallest Ramanujan prime R_k in A104272 that is >= A000101(n).at n=21A214757
• a(n) is the k-th prime, such that abs(prime(k) - Sum_{j=k-2..k+2} prime(j)/5) sets a new record.at n=27A337439
• a(n) is the k-th prime, such that abs(prime(k) - Sum_{j=k-1..k+1} prime(j)/3) sets a new record.at n=21A337489
• Primitive prime powers. p is a primitive prime power iff it is an odd prime power that exceeds the preceding odd prime power by more than any smaller odd prime power does. ('Prime power' defined in the sense of A246655.)at n=23A360204
• a(1) = 3; thereafter, a(n+1) is the smallest prime p such that p - prevprime(p) >= a(n) - prevprime(a(n)).at n=38A361823
• Primes p such that the difference between p and the average of the two preceding primes sets a new record.at n=25A375096
• Prime numbersat n=325853