What is the 4211th prime number?
The 4211th prime number is 40093. The next prime is 40099 (a gap of 6) and the one before is 40087.
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 4211th one is 40093.
- 2
40093 is prime because no prime up to ā40093 ā 200.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4211th prime is close to 4211 Ć ln(4211) ā 35143, and here it is 40093.
- 4
40093 has no twin: neither 40091 nor 40095 is prime.
Primes around the 4211th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4208 | 40039 | 2 |
| 4209 | 40063 | 24 |
| 4210 | 40087 | 24 |
| 4211 | 40093 | 6 |
| 4212 | 40099 | 6 |
| 4213 | 40111 | 12 |
| 4214 | 40123 | 12 |
Questions
What is the 4211th prime number?
40093.
Which prime number is 40093?
40093 is the 4211th prime number.
What is the sum of the first 4211 primes?
79,491,038.