What is the 1388th prime number?
The 1388th prime number is 11503. The next prime is 11519 (a gap of 16) and the one before is 11497.
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 1388th one is 11503.
- 2
11503 is prime because no prime up to ā11503 ā 107.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1388th prime is close to 1388 Ć ln(1388) ā 10043, and here it is 11503.
- 4
11503 has no twin: neither 11501 nor 11505 is prime.
Primes around the 1388th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1385 | 11489 | 6 |
| 1386 | 11491 | 2 |
| 1387 | 11497 | 6 |
| 1388 | 11503 | 6 |
| 1389 | 11519 | 16 |
| 1390 | 11527 | 8 |
| 1391 | 11549 | 22 |
Questions
What is the 1388th prime number?
11503.
Which prime number is 11503?
11503 is the 1388th prime number.
What is the sum of the first 1388 primes?
7,445,539.