What is the 3209th prime number?
The 3209th prime number is 29569. The next prime is 29573 (a gap of 4) and the one before is 29567.
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 3209th one is 29569.
- 2
29569 is prime because no prime up to ā29569 ā 171.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3209th prime is close to 3209 Ć ln(3209) ā 25909, and here it is 29569.
- 4
29569 is a twin prime: 29567 and 29569 are both prime.
Primes around the 3209th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3206 | 29531 | 4 |
| 3207 | 29537 | 6 |
| 3208 | 29567 | 30 |
| 3209 | 29569 | 2 |
| 3210 | 29573 | 4 |
| 3211 | 29581 | 8 |
| 3212 | 29587 | 6 |
Questions
What is the 3209th prime number?
29569.
Which prime number is 29569?
29569 is the 3209th prime number.
What is the sum of the first 3209 primes?
44,603,932.