What is the 1372nd prime number?
The 1372nd prime number is 11353. The next prime is 11369 (a gap of 16) and the one before is 11351.
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 1372nd one is 11353.
- 2
11353 is prime because no prime up to ā11353 ā 106.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1372nd prime is close to 1372 Ć ln(1372) ā 9911, and here it is 11353.
- 4
11353 is a twin prime: 11351 and 11353 are both prime.
Primes around the 1372nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1369 | 11321 | 4 |
| 1370 | 11329 | 8 |
| 1371 | 11351 | 22 |
| 1372 | 11353 | 2 |
| 1373 | 11369 | 16 |
| 1374 | 11383 | 14 |
| 1375 | 11393 | 10 |
Questions
What is the 1372nd prime number?
11353.
Which prime number is 11353?
11353 is the 1372nd prime number.
What is the sum of the first 1372 primes?
7,262,433.