38501
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Lonely (or isolated) primes: increasing distance to nearest prime.at n=10A023186
- Lonely (or isolated) primes: least prime of distance n from nearest prime (n = 1 or even).at n=20A023188
- Denominators of continued fraction convergents to sqrt(242).at n=10A041453
- Recip transform of 2*(1 + x^3 + x^5)-1/(1-x).at n=9A049157
- Lonely numbers: distance to closest prime sets a new record.at n=24A051650
- Smallest number at distance n from nearest prime.at n=40A051652
- Smallest number at distance 2n from nearest prime.at n=20A051728
- "Lonely primes": those primes that are locally maximally isolated from the nearest other primes. The differences between each lonely prime and the immediately preceding prime and following primes are both greater than the corresponding differences for all lonely primes earlier in the sequence.at n=10A087770
- Aloof primes: Total distance between prime and neighboring primes sets record.at n=20A096265
- Prime numbers that are 2 less than a prime-indexed odd triangular number or 1 more than a prime-indexed even triangular number.at n=35A096333
- Numbers p such that p = (prime(n)+ prime(n+3))/2 is prime for prime indices n=2, 3, 5...at n=33A098039
- Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=31A102723
- Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=30A102723
- Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=32A102723
- Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=37A102723
- Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=36A102723
- Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=35A102723
- Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=34A102723
- Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=33A102723
- Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=29A102723