What is the 3208th prime number?
The 3208th prime number is 29567. The next prime is 29569 (a gap of 2) and the one before is 29537.
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 3208th one is 29567.
- 2
29567 is prime because no prime up to ā29567 ā 171.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3208th prime is close to 3208 Ć ln(3208) ā 25899, and here it is 29567.
- 4
29567 is a twin prime: 29567 and 29569 are both prime.
Primes around the 3208th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3205 | 29527 | 26 |
| 3206 | 29531 | 4 |
| 3207 | 29537 | 6 |
| 3208 | 29567 | 30 |
| 3209 | 29569 | 2 |
| 3210 | 29573 | 4 |
| 3211 | 29581 | 8 |
Questions
What is the 3208th prime number?
29567.
Which prime number is 29567?
29567 is the 3208th prime number.
What is the sum of the first 3208 primes?
44,574,363.