What is the 1591st prime number?
The 1591st prime number is 13417. The next prime is 13421 (a gap of 4) and the one before is 13411.
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 1591st one is 13417.
- 2
13417 is prime because no prime up to ā13417 ā 115.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1591st prime is close to 1591 Ć ln(1591) ā 11729, and here it is 13417.
- 4
13417 has no twin: neither 13415 nor 13419 is prime.
Primes around the 1591st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1588 | 13397 | 16 |
| 1589 | 13399 | 2 |
| 1590 | 13411 | 12 |
| 1591 | 13417 | 6 |
| 1592 | 13421 | 4 |
| 1593 | 13441 | 20 |
| 1594 | 13451 | 10 |
Questions
What is the 1591st prime number?
13417.
Which prime number is 13417?
13417 is the 1591st prime number.
What is the sum of the first 1591 primes?
9,978,024.