What is the 1612th prime number?
The 1612th prime number is 13633. The next prime is 13649 (a gap of 16) and the one before is 13627.
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 1612th one is 13633.
- 2
13633 is prime because no prime up to ā13633 ā 116.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1612th prime is close to 1612 Ć ln(1612) ā 11905, and here it is 13633.
- 4
13633 has no twin: neither 13631 nor 13635 is prime.
Primes around the 1612th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1609 | 13613 | 16 |
| 1610 | 13619 | 6 |
| 1611 | 13627 | 8 |
| 1612 | 13633 | 6 |
| 1613 | 13649 | 16 |
| 1614 | 13669 | 20 |
| 1615 | 13679 | 10 |
Questions
What is the 1612th prime number?
13633.
Which prime number is 13633?
13633 is the 1612th prime number.
What is the sum of the first 1612 primes?
10,262,139.