What is the 291st prime number?
The 291st prime number is 1901. The next prime is 1907 (a gap of 6) and the one before is 1889.
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 291st one is 1901.
- 2
1901 is prime because no prime up to ā1901 ā 43.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 291st prime is close to 291 Ć ln(291) ā 1651, and here it is 1901.
- 4
1901 has no twin: neither 1899 nor 1903 is prime.
Primes around the 291st
| Position | Prime | Gap from the previous |
|---|---|---|
| 288 | 1877 | 4 |
| 289 | 1879 | 2 |
| 290 | 1889 | 10 |
| 291 | 1901 | 12 |
| 292 | 1907 | 6 |
| 293 | 1913 | 6 |
| 294 | 1931 | 18 |
Questions
What is the 291st prime number?
1901.
Which prime number is 1901?
1901 is the 291st prime number.
What is the sum of the first 291 primes?
253,538.