What is the 1308th prime number?
The 1308th prime number is 10729. The next prime is 10733 (a gap of 4) and the one before is 10723.
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 1308th one is 10729.
- 2
10729 is prime because no prime up to ā10729 ā 103.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1308th prime is close to 1308 Ć ln(1308) ā 9387, and here it is 10729.
- 4
10729 has no twin: neither 10727 nor 10731 is prime.
Primes around the 1308th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1305 | 10709 | 18 |
| 1306 | 10711 | 2 |
| 1307 | 10723 | 12 |
| 1308 | 10729 | 6 |
| 1309 | 10733 | 4 |
| 1310 | 10739 | 6 |
| 1311 | 10753 | 14 |
Questions
What is the 1308th prime number?
10729.
Which prime number is 10729?
10729 is the 1308th prime number.
What is the sum of the first 1308 primes?
6,555,077.