What is the 3203rd prime number?
The 3203rd prime number is 29483. The next prime is 29501 (a gap of 18) and the one before is 29473.
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 3203rd one is 29483.
- 2
29483 is prime because no prime up to ā29483 ā 171.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3203rd prime is close to 3203 Ć ln(3203) ā 25854, and here it is 29483.
- 4
29483 has no twin: neither 29481 nor 29485 is prime.
Primes around the 3203rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3200 | 29443 | 6 |
| 3201 | 29453 | 10 |
| 3202 | 29473 | 20 |
| 3203 | 29483 | 10 |
| 3204 | 29501 | 18 |
| 3205 | 29527 | 26 |
| 3206 | 29531 | 4 |
Questions
What is the 3203rd prime number?
29483.
Which prime number is 29483?
29483 is the 3203rd prime number.
What is the sum of the first 3203 primes?
44,426,700.