What is the 3979th prime number?
The 3979th prime number is 37571. The next prime is 37573 (a gap of 2) and the one before is 37567.
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 3979th one is 37571.
- 2
37571 is prime because no prime up to ā37571 ā 193.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3979th prime is close to 3979 Ć ln(3979) ā 32981, and here it is 37571.
- 4
37571 is a twin prime: 37571 and 37573 are both prime.
Primes around the 3979th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3976 | 37549 | 2 |
| 3977 | 37561 | 12 |
| 3978 | 37567 | 6 |
| 3979 | 37571 | 4 |
| 3980 | 37573 | 2 |
| 3981 | 37579 | 6 |
| 3982 | 37589 | 10 |
Questions
What is the 3979th prime number?
37571.
Which prime number is 37571?
37571 is the 3979th prime number.
What is the sum of the first 3979 primes?
70,475,570.