What is the 3201st prime number?
The 3201st prime number is 29453. The next prime is 29473 (a gap of 20) and the one before is 29443.
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 3201st one is 29453.
- 2
29453 is prime because no prime up to ā29453 ā 171.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3201st prime is close to 3201 Ć ln(3201) ā 25836, and here it is 29453.
- 4
29453 has no twin: neither 29451 nor 29455 is prime.
Primes around the 3201st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3198 | 29429 | 6 |
| 3199 | 29437 | 8 |
| 3200 | 29443 | 6 |
| 3201 | 29453 | 10 |
| 3202 | 29473 | 20 |
| 3203 | 29483 | 10 |
| 3204 | 29501 | 18 |
Questions
What is the 3201st prime number?
29453.
Which prime number is 29453?
29453 is the 3201st prime number.
What is the sum of the first 3201 primes?
44,367,744.