What is the 1041st prime number?
The 1041st prime number is 8293. The next prime is 8297 (a gap of 4) and the one before is 8291.
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 1041st one is 8293.
- 2
8293 is prime because no prime up to ā8293 ā 91.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1041st prime is close to 1041 Ć ln(1041) ā 7233, and here it is 8293.
- 4
8293 is a twin prime: 8291 and 8293 are both prime.
Primes around the 1041st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1038 | 8273 | 4 |
| 1039 | 8287 | 14 |
| 1040 | 8291 | 4 |
| 1041 | 8293 | 2 |
| 1042 | 8297 | 4 |
| 1043 | 8311 | 14 |
| 1044 | 8317 | 6 |
Questions
What is the 1041st prime number?
8293.
Which prime number is 8293?
8293 is the 1041st prime number.
What is the sum of the first 1041 primes?
4,015,910.