What is the 1588th prime number?
The 1588th prime number is 13397. The next prime is 13399 (a gap of 2) and the one before is 13381.
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 1588th one is 13397.
- 2
13397 is prime because no prime up to ā13397 ā 115.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1588th prime is close to 1588 Ć ln(1588) ā 11704, and here it is 13397.
- 4
13397 is a twin prime: 13397 and 13399 are both prime.
Primes around the 1588th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1585 | 13339 | 2 |
| 1586 | 13367 | 28 |
| 1587 | 13381 | 14 |
| 1588 | 13397 | 16 |
| 1589 | 13399 | 2 |
| 1590 | 13411 | 12 |
| 1591 | 13417 | 6 |
Questions
What is the 1588th prime number?
13397.
Which prime number is 13397?
13397 is the 1588th prime number.
What is the sum of the first 1588 primes?
9,937,797.