What is the 3980th prime number?
The 3980th prime number is 37573. The next prime is 37579 (a gap of 6) and the one before is 37571.
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 3980th one is 37573.
- 2
37573 is prime because no prime up to ā37573 ā 193.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3980th prime is close to 3980 Ć ln(3980) ā 32990, and here it is 37573.
- 4
37573 is a twin prime: 37571 and 37573 are both prime.
Primes around the 3980th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3977 | 37561 | 12 |
| 3978 | 37567 | 6 |
| 3979 | 37571 | 4 |
| 3980 | 37573 | 2 |
| 3981 | 37579 | 6 |
| 3982 | 37589 | 10 |
| 3983 | 37591 | 2 |
Questions
What is the 3980th prime number?
37573.
Which prime number is 37573?
37573 is the 3980th prime number.
What is the sum of the first 3980 primes?
70,513,143.