What is the 3982nd prime number?
The 3982nd prime number is 37589. The next prime is 37591 (a gap of 2) and the one before is 37579.
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 3982nd one is 37589.
- 2
37589 is prime because no prime up to ā37589 ā 193.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3982nd prime is close to 3982 Ć ln(3982) ā 33009, and here it is 37589.
- 4
37589 is a twin prime: 37589 and 37591 are both prime.
Primes around the 3982nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3979 | 37571 | 4 |
| 3980 | 37573 | 2 |
| 3981 | 37579 | 6 |
| 3982 | 37589 | 10 |
| 3983 | 37591 | 2 |
| 3984 | 37607 | 16 |
| 3985 | 37619 | 12 |
Questions
What is the 3982nd prime number?
37589.
Which prime number is 37589?
37589 is the 3982nd prime number.
What is the sum of the first 3982 primes?
70,588,311.