What is the 3990th prime number?
The 3990th prime number is 37663. The next prime is 37691 (a gap of 28) and the one before is 37657.
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 3990th one is 37663.
- 2
37663 is prime because no prime up to ā37663 ā 194.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3990th prime is close to 3990 Ć ln(3990) ā 33083, and here it is 37663.
- 4
37663 has no twin: neither 37661 nor 37665 is prime.
Primes around the 3990th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3987 | 37643 | 10 |
| 3988 | 37649 | 6 |
| 3989 | 37657 | 8 |
| 3990 | 37663 | 6 |
| 3991 | 37691 | 28 |
| 3992 | 37693 | 2 |
| 3993 | 37699 | 6 |
Questions
What is the 3990th prime number?
37663.
Which prime number is 37663?
37663 is the 3990th prime number.
What is the sum of the first 3990 primes?
70,889,373.