What is the 1614th prime number?
The 1614th prime number is 13669. The next prime is 13679 (a gap of 10) and the one before is 13649.
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 1614th one is 13669.
- 2
13669 is prime because no prime up to ā13669 ā 116.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1614th prime is close to 1614 Ć ln(1614) ā 11922, and here it is 13669.
- 4
13669 has no twin: neither 13667 nor 13671 is prime.
Primes around the 1614th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1611 | 13627 | 8 |
| 1612 | 13633 | 6 |
| 1613 | 13649 | 16 |
| 1614 | 13669 | 20 |
| 1615 | 13679 | 10 |
| 1616 | 13681 | 2 |
| 1617 | 13687 | 6 |
Questions
What is the 1614th prime number?
13669.
Which prime number is 13669?
13669 is the 1614th prime number.
What is the sum of the first 1614 primes?
10,289,457.