What is the 3206th prime number?
The 3206th prime number is 29531. The next prime is 29537 (a gap of 6) and the one before is 29527.
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 3206th one is 29531.
- 2
29531 is prime because no prime up to ā29531 ā 171.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3206th prime is close to 3206 Ć ln(3206) ā 25881, and here it is 29531.
- 4
29531 has no twin: neither 29529 nor 29533 is prime.
Primes around the 3206th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3203 | 29483 | 10 |
| 3204 | 29501 | 18 |
| 3205 | 29527 | 26 |
| 3206 | 29531 | 4 |
| 3207 | 29537 | 6 |
| 3208 | 29567 | 30 |
| 3209 | 29569 | 2 |
Questions
What is the 3206th prime number?
29531.
Which prime number is 29531?
29531 is the 3206th prime number.
What is the sum of the first 3206 primes?
44,515,259.