What is the 3988th prime number?
The 3988th prime number is 37649. The next prime is 37657 (a gap of 8) and the one before is 37643.
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 3988th one is 37649.
- 2
37649 is prime because no prime up to ā37649 ā 194.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3988th prime is close to 3988 Ć ln(3988) ā 33065, and here it is 37649.
- 4
37649 has no twin: neither 37647 nor 37651 is prime.
Primes around the 3988th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3985 | 37619 | 12 |
| 3986 | 37633 | 14 |
| 3987 | 37643 | 10 |
| 3988 | 37649 | 6 |
| 3989 | 37657 | 8 |
| 3990 | 37663 | 6 |
| 3991 | 37691 | 28 |
Questions
What is the 3988th prime number?
37649.
Which prime number is 37649?
37649 is the 3988th prime number.
What is the sum of the first 3988 primes?
70,814,053.