What is the 1298th prime number?
The 1298th prime number is 10639. The next prime is 10651 (a gap of 12) and the one before is 10631.
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 1298th one is 10639.
- 2
10639 is prime because no prime up to ā10639 ā 103.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1298th prime is close to 1298 Ć ln(1298) ā 9305, and here it is 10639.
- 4
10639 has no twin: neither 10637 nor 10641 is prime.
Primes around the 1298th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1295 | 10613 | 6 |
| 1296 | 10627 | 14 |
| 1297 | 10631 | 4 |
| 1298 | 10639 | 8 |
| 1299 | 10651 | 12 |
| 1300 | 10657 | 6 |
| 1301 | 10663 | 6 |
Questions
What is the 1298th prime number?
10639.
Which prime number is 10639?
10639 is the 1298th prime number.
What is the sum of the first 1298 primes?
6,448,189.