What is the 1309th prime number?
The 1309th prime number is 10733. The next prime is 10739 (a gap of 6) and the one before is 10729.
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 1309th one is 10733.
- 2
10733 is prime because no prime up to ā10733 ā 103.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1309th prime is close to 1309 Ć ln(1309) ā 9395, and here it is 10733.
- 4
10733 has no twin: neither 10731 nor 10735 is prime.
Primes around the 1309th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1306 | 10711 | 2 |
| 1307 | 10723 | 12 |
| 1308 | 10729 | 6 |
| 1309 | 10733 | 4 |
| 1310 | 10739 | 6 |
| 1311 | 10753 | 14 |
| 1312 | 10771 | 18 |
Questions
What is the 1309th prime number?
10733.
Which prime number is 10733?
10733 is the 1309th prime number.
What is the sum of the first 1309 primes?
6,565,810.