What is the 3998th prime number?
The 3998th prime number is 37799. The next prime is 37811 (a gap of 12) and the one before is 37783.
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 3998th one is 37799.
- 2
37799 is prime because no prime up to ā37799 ā 194.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3998th prime is close to 3998 Ć ln(3998) ā 33158, and here it is 37799.
- 4
37799 has no twin: neither 37797 nor 37801 is prime.
Primes around the 3998th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3995 | 37747 | 30 |
| 3996 | 37781 | 34 |
| 3997 | 37783 | 2 |
| 3998 | 37799 | 16 |
| 3999 | 37811 | 12 |
| 4000 | 37813 | 2 |
| 4001 | 37831 | 18 |
Questions
What is the 3998th prime number?
37799.
Which prime number is 37799?
37799 is the 3998th prime number.
What is the sum of the first 3998 primes?
71,191,283.