What is the 1299th prime number?
The 1299th prime number is 10651. The next prime is 10657 (a gap of 6) and the one before is 10639.
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 1299th one is 10651.
- 2
10651 is prime because no prime up to ā10651 ā 103.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1299th prime is close to 1299 Ć ln(1299) ā 9313, and here it is 10651.
- 4
10651 has no twin: neither 10649 nor 10653 is prime.
Primes around the 1299th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1296 | 10627 | 14 |
| 1297 | 10631 | 4 |
| 1298 | 10639 | 8 |
| 1299 | 10651 | 12 |
| 1300 | 10657 | 6 |
| 1301 | 10663 | 6 |
| 1302 | 10667 | 4 |
Questions
What is the 1299th prime number?
10651.
Which prime number is 10651?
10651 is the 1299th prime number.
What is the sum of the first 1299 primes?
6,458,840.