What is the 3211th prime number?
The 3211th prime number is 29581. The next prime is 29587 (a gap of 6) and the one before is 29573.
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 3211th one is 29581.
- 2
29581 is prime because no prime up to ā29581 ā 171.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3211th prime is close to 3211 Ć ln(3211) ā 25927, and here it is 29581.
- 4
29581 has no twin: neither 29579 nor 29583 is prime.
Primes around the 3211th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3208 | 29567 | 30 |
| 3209 | 29569 | 2 |
| 3210 | 29573 | 4 |
| 3211 | 29581 | 8 |
| 3212 | 29587 | 6 |
| 3213 | 29599 | 12 |
| 3214 | 29611 | 12 |
Questions
What is the 3211th prime number?
29581.
Which prime number is 29581?
29581 is the 3211th prime number.
What is the sum of the first 3211 primes?
44,663,086.