What is the 290th prime number?
The 290th prime number is 1889. The next prime is 1901 (a gap of 12) and the one before is 1879.
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 290th one is 1889.
- 2
1889 is prime because no prime up to ā1889 ā 43.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 290th prime is close to 290 Ć ln(290) ā 1644, and here it is 1889.
- 4
1889 has no twin: neither 1887 nor 1891 is prime.
Primes around the 290th
| Position | Prime | Gap from the previous |
|---|---|---|
| 287 | 1873 | 2 |
| 288 | 1877 | 4 |
| 289 | 1879 | 2 |
| 290 | 1889 | 10 |
| 291 | 1901 | 12 |
| 292 | 1907 | 6 |
| 293 | 1913 | 6 |
Questions
What is the 290th prime number?
1889.
Which prime number is 1889?
1889 is the 290th prime number.
What is the sum of the first 290 primes?
251,637.