What is the 1042nd prime number?
The 1042nd prime number is 8297. The next prime is 8311 (a gap of 14) and the one before is 8293.
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 1042nd one is 8297.
- 2
8297 is prime because no prime up to ā8297 ā 91.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1042nd prime is close to 1042 Ć ln(1042) ā 7241, and here it is 8297.
- 4
8297 has no twin: neither 8295 nor 8299 is prime.
Primes around the 1042nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1039 | 8287 | 14 |
| 1040 | 8291 | 4 |
| 1041 | 8293 | 2 |
| 1042 | 8297 | 4 |
| 1043 | 8311 | 14 |
| 1044 | 8317 | 6 |
| 1045 | 8329 | 12 |
Questions
What is the 1042nd prime number?
8297.
Which prime number is 8297?
8297 is the 1042nd prime number.
What is the sum of the first 1042 primes?
4,024,207.