What is the 1595th prime number?
The 1595th prime number is 13457. The next prime is 13463 (a gap of 6) and the one before is 13451.
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 1595th one is 13457.
- 2
13457 is prime because no prime up to ā13457 ā 116.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1595th prime is close to 1595 Ć ln(1595) ā 11763, and here it is 13457.
- 4
13457 has no twin: neither 13455 nor 13459 is prime.
Primes around the 1595th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1592 | 13421 | 4 |
| 1593 | 13441 | 20 |
| 1594 | 13451 | 10 |
| 1595 | 13457 | 6 |
| 1596 | 13463 | 6 |
| 1597 | 13469 | 6 |
| 1598 | 13477 | 8 |
Questions
What is the 1595th prime number?
13457.
Which prime number is 13457?
13457 is the 1595th prime number.
What is the sum of the first 1595 primes?
10,031,794.