What is the 1371st prime number?
The 1371st prime number is 11351. The next prime is 11353 (a gap of 2) and the one before is 11329.
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 1371st one is 11351.
- 2
11351 is prime because no prime up to ā11351 ā 106.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1371st prime is close to 1371 Ć ln(1371) ā 9903, and here it is 11351.
- 4
11351 is a twin prime: 11351 and 11353 are both prime.
Primes around the 1371st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1368 | 11317 | 6 |
| 1369 | 11321 | 4 |
| 1370 | 11329 | 8 |
| 1371 | 11351 | 22 |
| 1372 | 11353 | 2 |
| 1373 | 11369 | 16 |
| 1374 | 11383 | 14 |
Questions
What is the 1371st prime number?
11351.
Which prime number is 11351?
11351 is the 1371st prime number.
What is the sum of the first 1371 primes?
7,251,080.