What is the 3984th prime number?
The 3984th prime number is 37607. The next prime is 37619 (a gap of 12) and the one before is 37591.
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 3984th one is 37607.
- 2
37607 is prime because no prime up to ā37607 ā 193.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3984th prime is close to 3984 Ć ln(3984) ā 33028, and here it is 37607.
- 4
37607 has no twin: neither 37605 nor 37609 is prime.
Primes around the 3984th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3981 | 37579 | 6 |
| 3982 | 37589 | 10 |
| 3983 | 37591 | 2 |
| 3984 | 37607 | 16 |
| 3985 | 37619 | 12 |
| 3986 | 37633 | 14 |
| 3987 | 37643 | 10 |
Questions
What is the 3984th prime number?
37607.
Which prime number is 37607?
37607 is the 3984th prime number.
What is the sum of the first 3984 primes?
70,663,509.