What is the 1297th prime number?
The 1297th prime number is 10631. The next prime is 10639 (a gap of 8) and the one before is 10627.
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 1297th one is 10631.
- 2
10631 is prime because no prime up to ā10631 ā 103.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1297th prime is close to 1297 Ć ln(1297) ā 9297, and here it is 10631.
- 4
10631 has no twin: neither 10629 nor 10633 is prime.
Primes around the 1297th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1294 | 10607 | 6 |
| 1295 | 10613 | 6 |
| 1296 | 10627 | 14 |
| 1297 | 10631 | 4 |
| 1298 | 10639 | 8 |
| 1299 | 10651 | 12 |
| 1300 | 10657 | 6 |
Questions
What is the 1297th prime number?
10631.
Which prime number is 10631?
10631 is the 1297th prime number.
What is the sum of the first 1297 primes?
6,437,550.