What is the 3210th prime number?
The 3210th prime number is 29573. The next prime is 29581 (a gap of 8) and the one before is 29569.
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 3210th one is 29573.
- 2
29573 is prime because no prime up to ā29573 ā 171.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3210th prime is close to 3210 Ć ln(3210) ā 25918, and here it is 29573.
- 4
29573 has no twin: neither 29571 nor 29575 is prime.
Primes around the 3210th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3207 | 29537 | 6 |
| 3208 | 29567 | 30 |
| 3209 | 29569 | 2 |
| 3210 | 29573 | 4 |
| 3211 | 29581 | 8 |
| 3212 | 29587 | 6 |
| 3213 | 29599 | 12 |
Questions
What is the 3210th prime number?
29573.
Which prime number is 29573?
29573 is the 3210th prime number.
What is the sum of the first 3210 primes?
44,633,505.