What is the 3987th prime number?
The 3987th prime number is 37643. The next prime is 37649 (a gap of 6) and the one before is 37633.
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 3987th one is 37643.
- 2
37643 is prime because no prime up to ā37643 ā 194.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3987th prime is close to 3987 Ć ln(3987) ā 33055, and here it is 37643.
- 4
37643 has no twin: neither 37641 nor 37645 is prime.
Primes around the 3987th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3984 | 37607 | 16 |
| 3985 | 37619 | 12 |
| 3986 | 37633 | 14 |
| 3987 | 37643 | 10 |
| 3988 | 37649 | 6 |
| 3989 | 37657 | 8 |
| 3990 | 37663 | 6 |
Questions
What is the 3987th prime number?
37643.
Which prime number is 37643?
37643 is the 3987th prime number.
What is the sum of the first 3987 primes?
70,776,404.