What is the 4210th prime number?
The 4210th prime number is 40087. The next prime is 40093 (a gap of 6) and the one before is 40063.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4210th one is 40087.
- 2
40087 is prime because no prime up to ā40087 ā 200.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4210th prime is close to 4210 Ć ln(4210) ā 35133, and here it is 40087.
- 4
40087 has no twin: neither 40085 nor 40089 is prime.
Primes around the 4210th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4207 | 40037 | 6 |
| 4208 | 40039 | 2 |
| 4209 | 40063 | 24 |
| 4210 | 40087 | 24 |
| 4211 | 40093 | 6 |
| 4212 | 40099 | 6 |
| 4213 | 40111 | 12 |
Questions
What is the 4210th prime number?
40087.
Which prime number is 40087?
40087 is the 4210th prime number.
What is the sum of the first 4210 primes?
79,450,945.