What is the 3205th prime number?
The 3205th prime number is 29527. The next prime is 29531 (a gap of 4) and the one before is 29501.
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 3205th one is 29527.
- 2
29527 is prime because no prime up to ā29527 ā 171.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3205th prime is close to 3205 Ć ln(3205) ā 25872, and here it is 29527.
- 4
29527 has no twin: neither 29525 nor 29529 is prime.
Primes around the 3205th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3202 | 29473 | 20 |
| 3203 | 29483 | 10 |
| 3204 | 29501 | 18 |
| 3205 | 29527 | 26 |
| 3206 | 29531 | 4 |
| 3207 | 29537 | 6 |
| 3208 | 29567 | 30 |
Questions
What is the 3205th prime number?
29527.
Which prime number is 29527?
29527 is the 3205th prime number.
What is the sum of the first 3205 primes?
44,485,728.