What is the 1040th prime number?
The 1040th prime number is 8291. The next prime is 8293 (a gap of 2) and the one before is 8287.
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 1040th one is 8291.
- 2
8291 is prime because no prime up to ā8291 ā 91.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1040th prime is close to 1040 Ć ln(1040) ā 7225, and here it is 8291.
- 4
8291 is a twin prime: 8291 and 8293 are both prime.
Primes around the 1040th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1037 | 8269 | 6 |
| 1038 | 8273 | 4 |
| 1039 | 8287 | 14 |
| 1040 | 8291 | 4 |
| 1041 | 8293 | 2 |
| 1042 | 8297 | 4 |
| 1043 | 8311 | 14 |
Questions
What is the 1040th prime number?
8291.
Which prime number is 8291?
8291 is the 1040th prime number.
What is the sum of the first 1040 primes?
4,007,617.