What is the 292nd prime number?
The 292nd prime number is 1907. The next prime is 1913 (a gap of 6) and the one before is 1901.
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 292nd one is 1907.
- 2
1907 is prime because no prime up to ā1907 ā 43.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 292nd prime is close to 292 Ć ln(292) ā 1658, and here it is 1907.
- 4
1907 has no twin: neither 1905 nor 1909 is prime.
Primes around the 292nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 289 | 1879 | 2 |
| 290 | 1889 | 10 |
| 291 | 1901 | 12 |
| 292 | 1907 | 6 |
| 293 | 1913 | 6 |
| 294 | 1931 | 18 |
| 295 | 1933 | 2 |
Questions
What is the 292nd prime number?
1907.
Which prime number is 1907?
1907 is the 292nd prime number.
What is the sum of the first 292 primes?
255,445.