What is the 299th prime number?
The 299th prime number is 1979. The next prime is 1987 (a gap of 8) and the one before is 1973.
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 299th one is 1979.
- 2
1979 is prime because no prime up to ā1979 ā 44.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 299th prime is close to 299 Ć ln(299) ā 1704, and here it is 1979.
- 4
1979 has no twin: neither 1977 nor 1981 is prime.
Primes around the 299th
| Position | Prime | Gap from the previous |
|---|---|---|
| 296 | 1949 | 16 |
| 297 | 1951 | 2 |
| 298 | 1973 | 22 |
| 299 | 1979 | 6 |
| 300 | 1987 | 8 |
| 301 | 1993 | 6 |
| 302 | 1997 | 4 |
Questions
What is the 299th prime number?
1979.
Which prime number is 1979?
1979 is the 299th prime number.
What is the sum of the first 299 primes?
269,074.