What is the 1651st prime number?
The 1651st prime number is 13997. The next prime is 13999 (a gap of 2) and the one before is 13967.
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 1651st one is 13997.
- 2
13997 is prime because no prime up to ā13997 ā 118.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1651st prime is close to 1651 Ć ln(1651) ā 12232, and here it is 13997.
- 4
13997 is a twin prime: 13997 and 13999 are both prime.
Primes around the 1651st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1648 | 13933 | 2 |
| 1649 | 13963 | 30 |
| 1650 | 13967 | 4 |
| 1651 | 13997 | 30 |
| 1652 | 13999 | 2 |
| 1653 | 14009 | 10 |
| 1654 | 14011 | 2 |
Questions
What is the 1651st prime number?
13997.
Which prime number is 13997?
13997 is the 1651st prime number.
What is the sum of the first 1651 primes?
10,800,592.