What is the 1594th prime number?
The 1594th prime number is 13451. The next prime is 13457 (a gap of 6) and the one before is 13441.
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 1594th one is 13451.
- 2
13451 is prime because no prime up to ā13451 ā 115.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1594th prime is close to 1594 Ć ln(1594) ā 11754, and here it is 13451.
- 4
13451 has no twin: neither 13449 nor 13453 is prime.
Primes around the 1594th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1591 | 13417 | 6 |
| 1592 | 13421 | 4 |
| 1593 | 13441 | 20 |
| 1594 | 13451 | 10 |
| 1595 | 13457 | 6 |
| 1596 | 13463 | 6 |
| 1597 | 13469 | 6 |
Questions
What is the 1594th prime number?
13451.
Which prime number is 13451?
13451 is the 1594th prime number.
What is the sum of the first 1594 primes?
10,018,337.