What is the 1611th prime number?
The 1611th prime number is 13627. The next prime is 13633 (a gap of 6) and the one before is 13619.
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 1611th one is 13627.
- 2
13627 is prime because no prime up to ā13627 ā 116.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1611th prime is close to 1611 Ć ln(1611) ā 11897, and here it is 13627.
- 4
13627 has no twin: neither 13625 nor 13629 is prime.
Primes around the 1611th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1608 | 13597 | 6 |
| 1609 | 13613 | 16 |
| 1610 | 13619 | 6 |
| 1611 | 13627 | 8 |
| 1612 | 13633 | 6 |
| 1613 | 13649 | 16 |
| 1614 | 13669 | 20 |
Questions
What is the 1611th prime number?
13627.
Which prime number is 13627?
13627 is the 1611th prime number.
What is the sum of the first 1611 primes?
10,248,506.