What is the 4212th prime number?
The 4212th prime number is 40099. The next prime is 40111 (a gap of 12) and the one before is 40093.
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 4212th one is 40099.
- 2
40099 is prime because no prime up to ā40099 ā 200.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4212th prime is close to 4212 Ć ln(4212) ā 35152, and here it is 40099.
- 4
40099 has no twin: neither 40097 nor 40101 is prime.
Primes around the 4212th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4209 | 40063 | 24 |
| 4210 | 40087 | 24 |
| 4211 | 40093 | 6 |
| 4212 | 40099 | 6 |
| 4213 | 40111 | 12 |
| 4214 | 40123 | 12 |
| 4215 | 40127 | 4 |
Questions
What is the 4212th prime number?
40099.
Which prime number is 40099?
40099 is the 4212th prime number.
What is the sum of the first 4212 primes?
79,531,137.