What is the 1332nd prime number?
The 1332nd prime number is 10973. The next prime is 10979 (a gap of 6) and the one before is 10957.
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 1332nd one is 10973.
- 2
10973 is prime because no prime up to ā10973 ā 104.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1332nd prime is close to 1332 Ć ln(1332) ā 9583, and here it is 10973.
- 4
10973 has no twin: neither 10971 nor 10975 is prime.
Primes around the 1332nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1329 | 10939 | 2 |
| 1330 | 10949 | 10 |
| 1331 | 10957 | 8 |
| 1332 | 10973 | 16 |
| 1333 | 10979 | 6 |
| 1334 | 10987 | 8 |
| 1335 | 10993 | 6 |
Questions
What is the 1332nd prime number?
10973.
Which prime number is 10973?
10973 is the 1332nd prime number.
What is the sum of the first 1332 primes?
6,815,627.