What is the 1325th prime number?
The 1325th prime number is 10891. The next prime is 10903 (a gap of 12) and the one before is 10889.
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 1325th one is 10891.
- 2
10891 is prime because no prime up to ā10891 ā 104.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1325th prime is close to 1325 Ć ln(1325) ā 9526, and here it is 10891.
- 4
10891 is a twin prime: 10889 and 10891 are both prime.
Primes around the 1325th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1322 | 10867 | 6 |
| 1323 | 10883 | 16 |
| 1324 | 10889 | 6 |
| 1325 | 10891 | 2 |
| 1326 | 10903 | 12 |
| 1327 | 10909 | 6 |
| 1328 | 10937 | 28 |
Questions
What is the 1325th prime number?
10891.
Which prime number is 10891?
10891 is the 1325th prime number.
What is the sum of the first 1325 primes?
6,739,060.