What is the 3981st prime number?
The 3981st prime number is 37579. The next prime is 37589 (a gap of 10) and the one before is 37573.
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 3981st one is 37579.
- 2
37579 is prime because no prime up to ā37579 ā 193.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3981st prime is close to 3981 Ć ln(3981) ā 33000, and here it is 37579.
- 4
37579 has no twin: neither 37577 nor 37581 is prime.
Primes around the 3981st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3978 | 37567 | 6 |
| 3979 | 37571 | 4 |
| 3980 | 37573 | 2 |
| 3981 | 37579 | 6 |
| 3982 | 37589 | 10 |
| 3983 | 37591 | 2 |
| 3984 | 37607 | 16 |
Questions
What is the 3981st prime number?
37579.
Which prime number is 37579?
37579 is the 3981st prime number.
What is the sum of the first 3981 primes?
70,550,722.