What is the 3204th prime number?
The 3204th prime number is 29501. The next prime is 29527 (a gap of 26) and the one before is 29483.
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 3204th one is 29501.
- 2
29501 is prime because no prime up to ā29501 ā 171.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3204th prime is close to 3204 Ć ln(3204) ā 25863, and here it is 29501.
- 4
29501 has no twin: neither 29499 nor 29503 is prime.
Primes around the 3204th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3201 | 29453 | 10 |
| 3202 | 29473 | 20 |
| 3203 | 29483 | 10 |
| 3204 | 29501 | 18 |
| 3205 | 29527 | 26 |
| 3206 | 29531 | 4 |
| 3207 | 29537 | 6 |
Questions
What is the 3204th prime number?
29501.
Which prime number is 29501?
29501 is the 3204th prime number.
What is the sum of the first 3204 primes?
44,456,201.