What is the 3620th prime number?
The 3620th prime number is 33797. The next prime is 33809 (a gap of 12) and the one before is 33791.
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 3620th one is 33797.
- 2
33797 is prime because no prime up to ā33797 ā 183.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3620th prime is close to 3620 Ć ln(3620) ā 29663, and here it is 33797.
- 4
33797 has no twin: neither 33795 nor 33799 is prime.
Primes around the 3620th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3617 | 33769 | 2 |
| 3618 | 33773 | 4 |
| 3619 | 33791 | 18 |
| 3620 | 33797 | 6 |
| 3621 | 33809 | 12 |
| 3622 | 33811 | 2 |
| 3623 | 33827 | 16 |
Questions
What is the 3620th prime number?
33797.
Which prime number is 33797?
33797 is the 3620th prime number.
What is the sum of the first 3620 primes?
57,651,969.