What is the 1654th prime number?
The 1654th prime number is 14011. The next prime is 14029 (a gap of 18) and the one before is 14009.
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 1654th one is 14011.
- 2
14011 is prime because no prime up to ā14011 ā 118.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1654th prime is close to 1654 Ć ln(1654) ā 12258, and here it is 14011.
- 4
14011 is a twin prime: 14009 and 14011 are both prime.
Primes around the 1654th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1651 | 13997 | 30 |
| 1652 | 13999 | 2 |
| 1653 | 14009 | 10 |
| 1654 | 14011 | 2 |
| 1655 | 14029 | 18 |
| 1656 | 14033 | 4 |
| 1657 | 14051 | 18 |
Questions
What is the 1654th prime number?
14011.
Which prime number is 14011?
14011 is the 1654th prime number.
What is the sum of the first 1654 primes?
10,842,611.