What is the 1610th prime number?
The 1610th prime number is 13619. The next prime is 13627 (a gap of 8) and the one before is 13613.
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 1610th one is 13619.
- 2
13619 is prime because no prime up to ā13619 ā 116.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1610th prime is close to 1610 Ć ln(1610) ā 11888, and here it is 13619.
- 4
13619 has no twin: neither 13617 nor 13621 is prime.
Primes around the 1610th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1607 | 13591 | 14 |
| 1608 | 13597 | 6 |
| 1609 | 13613 | 16 |
| 1610 | 13619 | 6 |
| 1611 | 13627 | 8 |
| 1612 | 13633 | 6 |
| 1613 | 13649 | 16 |
Questions
What is the 1610th prime number?
13619.
Which prime number is 13619?
13619 is the 1610th prime number.
What is the sum of the first 1610 primes?
10,234,879.