What is the 1307th prime number?
The 1307th prime number is 10723. The next prime is 10729 (a gap of 6) and the one before is 10711.
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 1307th one is 10723.
- 2
10723 is prime because no prime up to ā10723 ā 103.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1307th prime is close to 1307 Ć ln(1307) ā 9378, and here it is 10723.
- 4
10723 has no twin: neither 10721 nor 10725 is prime.
Primes around the 1307th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1304 | 10691 | 4 |
| 1305 | 10709 | 18 |
| 1306 | 10711 | 2 |
| 1307 | 10723 | 12 |
| 1308 | 10729 | 6 |
| 1309 | 10733 | 4 |
| 1310 | 10739 | 6 |
Questions
What is the 1307th prime number?
10723.
Which prime number is 10723?
10723 is the 1307th prime number.
What is the sum of the first 1307 primes?
6,544,348.