What is the 3207th prime number?
The 3207th prime number is 29537. The next prime is 29567 (a gap of 30) and the one before is 29531.
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 3207th one is 29537.
- 2
29537 is prime because no prime up to ā29537 ā 171.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3207th prime is close to 3207 Ć ln(3207) ā 25890, and here it is 29537.
- 4
29537 has no twin: neither 29535 nor 29539 is prime.
Primes around the 3207th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3204 | 29501 | 18 |
| 3205 | 29527 | 26 |
| 3206 | 29531 | 4 |
| 3207 | 29537 | 6 |
| 3208 | 29567 | 30 |
| 3209 | 29569 | 2 |
| 3210 | 29573 | 4 |
Questions
What is the 3207th prime number?
29537.
Which prime number is 29537?
29537 is the 3207th prime number.
What is the sum of the first 3207 primes?
44,544,796.