What is the 1370th prime number?
The 1370th prime number is 11329. The next prime is 11351 (a gap of 22) and the one before is 11321.
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 1370th one is 11329.
- 2
11329 is prime because no prime up to ā11329 ā 106.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1370th prime is close to 1370 Ć ln(1370) ā 9895, and here it is 11329.
- 4
11329 has no twin: neither 11327 nor 11331 is prime.
Primes around the 1370th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1367 | 11311 | 12 |
| 1368 | 11317 | 6 |
| 1369 | 11321 | 4 |
| 1370 | 11329 | 8 |
| 1371 | 11351 | 22 |
| 1372 | 11353 | 2 |
| 1373 | 11369 | 16 |
Questions
What is the 1370th prime number?
11329.
Which prime number is 11329?
11329 is the 1370th prime number.
What is the sum of the first 1370 primes?
7,239,729.