What is the 4213th prime number?
The 4213th prime number is 40111. The next prime is 40123 (a gap of 12) and the one before is 40099.
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 4213th one is 40111.
- 2
40111 is prime because no prime up to ā40111 ā 200.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4213th prime is close to 4213 Ć ln(4213) ā 35161, and here it is 40111.
- 4
40111 has no twin: neither 40109 nor 40113 is prime.
Primes around the 4213th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4210 | 40087 | 24 |
| 4211 | 40093 | 6 |
| 4212 | 40099 | 6 |
| 4213 | 40111 | 12 |
| 4214 | 40123 | 12 |
| 4215 | 40127 | 4 |
| 4216 | 40129 | 2 |
Questions
What is the 4213th prime number?
40111.
Which prime number is 40111?
40111 is the 4213th prime number.
What is the sum of the first 4213 primes?
79,571,248.