What is the 1326th prime number?
The 1326th prime number is 10903. The next prime is 10909 (a gap of 6) and the one before is 10891.
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 1326th one is 10903.
- 2
10903 is prime because no prime up to ā10903 ā 104.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1326th prime is close to 1326 Ć ln(1326) ā 9534, and here it is 10903.
- 4
10903 has no twin: neither 10901 nor 10905 is prime.
Primes around the 1326th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1323 | 10883 | 16 |
| 1324 | 10889 | 6 |
| 1325 | 10891 | 2 |
| 1326 | 10903 | 12 |
| 1327 | 10909 | 6 |
| 1328 | 10937 | 28 |
| 1329 | 10939 | 2 |
Questions
What is the 1326th prime number?
10903.
Which prime number is 10903?
10903 is the 1326th prime number.
What is the sum of the first 1326 primes?
6,749,963.