What is the 1613th prime number?
The 1613th prime number is 13649. The next prime is 13669 (a gap of 20) and the one before is 13633.
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 1613th one is 13649.
- 2
13649 is prime because no prime up to ā13649 ā 116.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1613th prime is close to 1613 Ć ln(1613) ā 11913, and here it is 13649.
- 4
13649 has no twin: neither 13647 nor 13651 is prime.
Primes around the 1613th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1610 | 13619 | 6 |
| 1611 | 13627 | 8 |
| 1612 | 13633 | 6 |
| 1613 | 13649 | 16 |
| 1614 | 13669 | 20 |
| 1615 | 13679 | 10 |
| 1616 | 13681 | 2 |
Questions
What is the 1613th prime number?
13649.
Which prime number is 13649?
13649 is the 1613th prime number.
What is the sum of the first 1613 primes?
10,275,788.