What is the 1319th prime number?
The 1319th prime number is 10853. The next prime is 10859 (a gap of 6) and the one before is 10847.
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 1319th one is 10853.
- 2
10853 is prime because no prime up to ā10853 ā 104.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1319th prime is close to 1319 Ć ln(1319) ā 9477, and here it is 10853.
- 4
10853 has no twin: neither 10851 nor 10855 is prime.
Primes around the 1319th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1316 | 10831 | 32 |
| 1317 | 10837 | 6 |
| 1318 | 10847 | 10 |
| 1319 | 10853 | 6 |
| 1320 | 10859 | 6 |
| 1321 | 10861 | 2 |
| 1322 | 10867 | 6 |
Questions
What is the 1319th prime number?
10853.
Which prime number is 10853?
10853 is the 1319th prime number.
What is the sum of the first 1319 primes?
6,673,810.