What is the 1587th prime number?
The 1587th prime number is 13381. The next prime is 13397 (a gap of 16) and the one before is 13367.
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 1587th one is 13381.
- 2
13381 is prime because no prime up to ā13381 ā 115.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1587th prime is close to 1587 Ć ln(1587) ā 11696, and here it is 13381.
- 4
13381 has no twin: neither 13379 nor 13383 is prime.
Primes around the 1587th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1584 | 13337 | 6 |
| 1585 | 13339 | 2 |
| 1586 | 13367 | 28 |
| 1587 | 13381 | 14 |
| 1588 | 13397 | 16 |
| 1589 | 13399 | 2 |
| 1590 | 13411 | 12 |
Questions
What is the 1587th prime number?
13381.
Which prime number is 13381?
13381 is the 1587th prime number.
What is the sum of the first 1587 primes?
9,924,400.