What is the 3200th prime number?
The 3200th prime number is 29443. The next prime is 29453 (a gap of 10) and the one before is 29437.
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 3200th one is 29443.
- 2
29443 is prime because no prime up to ā29443 ā 171.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3200th prime is close to 3200 Ć ln(3200) ā 25827, and here it is 29443.
- 4
29443 has no twin: neither 29441 nor 29445 is prime.
Primes around the 3200th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3197 | 29423 | 12 |
| 3198 | 29429 | 6 |
| 3199 | 29437 | 8 |
| 3200 | 29443 | 6 |
| 3201 | 29453 | 10 |
| 3202 | 29473 | 20 |
| 3203 | 29483 | 10 |
Questions
What is the 3200th prime number?
29443.
Which prime number is 29443?
29443 is the 3200th prime number.
What is the sum of the first 3200 primes?
44,338,291.