What is the 3213th prime number?
The 3213th prime number is 29599. The next prime is 29611 (a gap of 12) and the one before is 29587.
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 3213th one is 29599.
- 2
29599 is prime because no prime up to ā29599 ā 172.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3213th prime is close to 3213 Ć ln(3213) ā 25945, and here it is 29599.
- 4
29599 has no twin: neither 29597 nor 29601 is prime.
Primes around the 3213th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3210 | 29573 | 4 |
| 3211 | 29581 | 8 |
| 3212 | 29587 | 6 |
| 3213 | 29599 | 12 |
| 3214 | 29611 | 12 |
| 3215 | 29629 | 18 |
| 3216 | 29633 | 4 |
Questions
What is the 3213th prime number?
29599.
Which prime number is 29599?
29599 is the 3213th prime number.
What is the sum of the first 3213 primes?
44,722,272.