What is the 3202nd prime number?
The 3202nd prime number is 29473. The next prime is 29483 (a gap of 10) and the one before is 29453.
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 3202nd one is 29473.
- 2
29473 is prime because no prime up to ā29473 ā 171.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3202nd prime is close to 3202 Ć ln(3202) ā 25845, and here it is 29473.
- 4
29473 has no twin: neither 29471 nor 29475 is prime.
Primes around the 3202nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3199 | 29437 | 8 |
| 3200 | 29443 | 6 |
| 3201 | 29453 | 10 |
| 3202 | 29473 | 20 |
| 3203 | 29483 | 10 |
| 3204 | 29501 | 18 |
| 3205 | 29527 | 26 |
Questions
What is the 3202nd prime number?
29473.
Which prime number is 29473?
29473 is the 3202nd prime number.
What is the sum of the first 3202 primes?
44,397,217.