What is the 298th prime number?
The 298th prime number is 1973. The next prime is 1979 (a gap of 6) and the one before is 1951.
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 298th one is 1973.
- 2
1973 is prime because no prime up to ā1973 ā 44.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 298th prime is close to 298 Ć ln(298) ā 1698, and here it is 1973.
- 4
1973 has no twin: neither 1971 nor 1975 is prime.
Primes around the 298th
| Position | Prime | Gap from the previous |
|---|---|---|
| 295 | 1933 | 2 |
| 296 | 1949 | 16 |
| 297 | 1951 | 2 |
| 298 | 1973 | 22 |
| 299 | 1979 | 6 |
| 300 | 1987 | 8 |
| 301 | 1993 | 6 |
Questions
What is the 298th prime number?
1973.
Which prime number is 1973?
1973 is the 298th prime number.
What is the sum of the first 298 primes?
267,095.