What is the 1039th prime number?
The 1039th prime number is 8287. The next prime is 8291 (a gap of 4) and the one before is 8273.
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 1039th one is 8287.
- 2
8287 is prime because no prime up to ā8287 ā 91.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1039th prime is close to 1039 Ć ln(1039) ā 7217, and here it is 8287.
- 4
8287 has no twin: neither 8285 nor 8289 is prime.
Primes around the 1039th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1036 | 8263 | 20 |
| 1037 | 8269 | 6 |
| 1038 | 8273 | 4 |
| 1039 | 8287 | 14 |
| 1040 | 8291 | 4 |
| 1041 | 8293 | 2 |
| 1042 | 8297 | 4 |
Questions
What is the 1039th prime number?
8287.
Which prime number is 8287?
8287 is the 1039th prime number.
What is the sum of the first 1039 primes?
3,999,326.