What is the 1315th prime number?
The 1315th prime number is 10799. The next prime is 10831 (a gap of 32) and the one before is 10789.
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 1315th one is 10799.
- 2
10799 is prime because no prime up to ā10799 ā 103.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1315th prime is close to 1315 Ć ln(1315) ā 9444, and here it is 10799.
- 4
10799 has no twin: neither 10797 nor 10801 is prime.
Primes around the 1315th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1312 | 10771 | 18 |
| 1313 | 10781 | 10 |
| 1314 | 10789 | 8 |
| 1315 | 10799 | 10 |
| 1316 | 10831 | 32 |
| 1317 | 10837 | 6 |
| 1318 | 10847 | 10 |
Questions
What is the 1315th prime number?
10799.
Which prime number is 10799?
10799 is the 1315th prime number.
What is the sum of the first 1315 primes?
6,630,442.