What is the 1310th prime number?
The 1310th prime number is 10739. The next prime is 10753 (a gap of 14) and the one before is 10733.
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 1310th one is 10739.
- 2
10739 is prime because no prime up to ā10739 ā 103.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1310th prime is close to 1310 Ć ln(1310) ā 9403, and here it is 10739.
- 4
10739 has no twin: neither 10737 nor 10741 is prime.
Primes around the 1310th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1307 | 10723 | 12 |
| 1308 | 10729 | 6 |
| 1309 | 10733 | 4 |
| 1310 | 10739 | 6 |
| 1311 | 10753 | 14 |
| 1312 | 10771 | 18 |
| 1313 | 10781 | 10 |
Questions
What is the 1310th prime number?
10739.
Which prime number is 10739?
10739 is the 1310th prime number.
What is the sum of the first 1310 primes?
6,576,549.