What is the 998th prime number?
The 998th prime number is 7901. The next prime is 7907 (a gap of 6) and the one before is 7883.
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 998th one is 7901.
- 2
7901 is prime because no prime up to ā7901 ā 88.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 998th prime is close to 998 Ć ln(998) ā 6892, and here it is 7901.
- 4
7901 has no twin: neither 7899 nor 7903 is prime.
Primes around the 998th
| Position | Prime | Gap from the previous |
|---|---|---|
| 995 | 7877 | 4 |
| 996 | 7879 | 2 |
| 997 | 7883 | 4 |
| 998 | 7901 | 18 |
| 999 | 7907 | 6 |
| 1000 | 7919 | 12 |
| 1001 | 7927 | 8 |
Questions
What is the 998th prime number?
7901.
Which prime number is 7901?
7901 is the 998th prime number.
What is the sum of the first 998 primes?
3,667,087.