What is the 3989th prime number?
The 3989th prime number is 37657. The next prime is 37663 (a gap of 6) and the one before is 37649.
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 3989th one is 37657.
- 2
37657 is prime because no prime up to ā37657 ā 194.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3989th prime is close to 3989 Ć ln(3989) ā 33074, and here it is 37657.
- 4
37657 has no twin: neither 37655 nor 37659 is prime.
Primes around the 3989th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3986 | 37633 | 14 |
| 3987 | 37643 | 10 |
| 3988 | 37649 | 6 |
| 3989 | 37657 | 8 |
| 3990 | 37663 | 6 |
| 3991 | 37691 | 28 |
| 3992 | 37693 | 2 |
Questions
What is the 3989th prime number?
37657.
Which prime number is 37657?
37657 is the 3989th prime number.
What is the sum of the first 3989 primes?
70,851,710.