What is the 3983rd prime number?
The 3983rd prime number is 37591. The next prime is 37607 (a gap of 16) and the one before is 37589.
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 3983rd one is 37591.
- 2
37591 is prime because no prime up to ā37591 ā 193.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3983rd prime is close to 3983 Ć ln(3983) ā 33018, and here it is 37591.
- 4
37591 is a twin prime: 37589 and 37591 are both prime.
Primes around the 3983rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3980 | 37573 | 2 |
| 3981 | 37579 | 6 |
| 3982 | 37589 | 10 |
| 3983 | 37591 | 2 |
| 3984 | 37607 | 16 |
| 3985 | 37619 | 12 |
| 3986 | 37633 | 14 |
Questions
What is the 3983rd prime number?
37591.
Which prime number is 37591?
37591 is the 3983rd prime number.
What is the sum of the first 3983 primes?
70,625,902.