What is the 1596th prime number?
The 1596th prime number is 13463. The next prime is 13469 (a gap of 6) and the one before is 13457.
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 1596th one is 13463.
- 2
13463 is prime because no prime up to ā13463 ā 116.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1596th prime is close to 1596 Ć ln(1596) ā 11771, and here it is 13463.
- 4
13463 has no twin: neither 13461 nor 13465 is prime.
Primes around the 1596th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1593 | 13441 | 20 |
| 1594 | 13451 | 10 |
| 1595 | 13457 | 6 |
| 1596 | 13463 | 6 |
| 1597 | 13469 | 6 |
| 1598 | 13477 | 8 |
| 1599 | 13487 | 10 |
Questions
What is the 1596th prime number?
13463.
Which prime number is 13463?
13463 is the 1596th prime number.
What is the sum of the first 1596 primes?
10,045,257.